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Visit Events Exhibits Donate Shop UPCOMING EVENTS AND PROGRAMMING AT MOMATH All times are in Eastern Time Zone (New York). Featured Sign up for Transformations 2024, the summer program at MoMath Make your 2024-2025 MoMath field trip reservation (in-Museum or online) Request the MM2GO traveling exhibits to come to your school in 2024-2025! Register your Title I school for the Maxima program: offering free (sponsored) field trips, MM2GO bookings, in-school workshops, and other educational opportunities for Title I schools Enter to win a free in-school MoMath field trip, eligible to all schools Apply before July 31 to the 2024-2025 Integrators volunteer program for mathematically-talented high school students Submit your own original mathematical artwork to be displayed in Composite on Fifth, MoMath’s pop-up gallery along Fifth Avenue! Register or apply to present at the MATRIX x IMAGINARY 2024 joint conference Propose an abstract or activity for the MOVES 2025 conference: “The Shapes of Math” Sun, Jun 23 3:00 pm to 4:30 pm Online Topological Crochet (online) Sun, Jun 23 6:30 pm to 8:00 pm Unlimited, MoMath’s mix-n-mingle program for middle and high school students (in person) (drop-off) Mon, Jun 24 to Fri, Jun 28 9:00 am to 3:00 pm Transformations 2024: “Phantastic Physics” for grades 1–6 (in person) Extended-day options available until 5:00 pm. Thu, Jun 27 2:00 pm Senior Sessions: “Math in the Corner Pocket” (online) Thu, Jun 27 6:30 pm Starring Math: a discussion of Interstellar, with theoretical physicist Kip Thorne; hosted by Ingrid Daubechies (online) Fri, Jun 28 4:30 pm Folding Fridays, MoMath’s weekly origami series (online) Sun, Jun 30 3:00 pm to 4:30 pm Online Topological Crochet, session 1 of 4 (online) Mon, Jul 1 to Fri, Jul 5 9:00 am to 3:00 pm Transformations 2024: “What Are the Chances?” for grades 1–6 (in person) Extended-day options available until 5:00 pm. Fri, Jul 5 2:00 pm Senior Sessions: “Gallery of Graphs” (online) Fri, Jul 5 4:30 pm Folding Fridays, MoMath’s weekly origami series (online) Sun, Jul 7 3:00 pm to 4:30 pm Online Topological Crochet, session 2 of 4 (online) Mon, Jul 8 to Fri, Jul 12 9:00 am to 3:00 pm Transformations 2024: “Puzzle Master” for grades 1–6 (in person) Extended-day options available until 5:00 pm. Mon, Jul 8 6:30 pm Meet a Mathematician: Anna Wienhard; hosted by Ingrid Daubechies (online) Tue, Jul 9 5:00 pm LEGO Robotics Summer Program at MoMath for ages 6–9, session 1 of 8 (in person) (drop-off) Tue, Jul 9 6:30 pm Equilibrium, adult game night at MoMath (in person) Wed, Jul 10 to Fri, Jul 12 The 2024 Rosenthal Prize Summer Institute (in person) Wed, Jul 10 to Fri, Jul 12 Mathematics Outreach Seminar and Training (MOST) program (in person) Wed, Jul 10 2:00 pm Senior Sessions: “Math in Art: Tessellations I” (online) Wed, Jul 10 4:00 pm 7:00 pm Free! Math Encounters: “Volumes and Verse: a mathematical journey through literature” featuring Sarah Hart (in person) Fri, Jul 12 4:30 pm Folding Fridays, MoMath’s weekly origami series (online) Fri, Jul 12 6:30 pm Math Figures! featuring Tim Chartier (in person) ◷ Sat, Jul 13 10:00 am to 4:00 pm NYC Math Festival (in person at Fosun Plaza, 28 Liberty Street) No registration required for this rain-or-shine event. Sun, Jul 14 1:00 pm to 2:30 pm Extensions, MoMath’s online gifted math program (grades 6-12) (online) Sun, Jul 14 4:30 pm Tween Primes: a discussion of Genius: The Game by Leopoldo Gout; hosted by Ingrid Daubechies (online) Mon, Jul 15 Registration deadline for MATRIX x IMAGINARY 2024 Mon, Jul 15 to Fri, Jul 19 9:00 am to 3:00 pm Transformations 2024: “Games Galore” (grades 1–3) (in person) Extended-day options available until 5:00 pm. Mon, Jul 15 to Fri, Jul 19 9:00 am to 3:00 pm Transformations 2024: “Twisted Worlds” (grades 4–9) (in person) Extended-day options available until 5:00 pm. Mon, Jul 15 6:30 pm Volumes: a discussion of The Warped Side of Our Universe: An Odyssey through Black Holes, Wormholes, Time Travel, and Gravitational Waves, with authors Kip Thorne and Lia Halloran; hosted by Ingrid Daubechies (online) Tue, Jul 16 5:00 pm LEGO Robotics Summer Program at MoMath for ages 6–9, session 2 of 8 (in person) (drop-off) Tue, Jul 16 6:30 pm Walk with Me in the Mathemalchemy Wonderland, a miniseries with Distinguished Visiting Professor Ingrid Daubechies (in person) Thu, Jul 18 2:00 pm Senior Sessions: “Hands and Minds” (online) Thu, Jul 18 6:30 pm Walk with Me in the Mathemalchemy Wonderland, a series with Distinguished Visiting Professor Ingrid Daubechies (in person) Fri, Jul 19 6:30 pm Free! Family Fridays: “Origami Puzzles” with Francesco Mancini (in person) Sun, Jul 21 3:00 pm to 4:30 pm Online Topological Crochet (online) Sun, Jul 21 6:30 pm to 8:00 pm Unlimited, MoMath’s mix-n-mingle program for middle and high school students (in person) (drop-off) Mon, Jul 22 to Fri, Jul 26 9:00 am to 3:00 pm Transformations 2024: “Adventures in Ancient Math” (grades 1–6) (in person) Extended-day options available until 5:00 pm. Mon, Jul 22 6:30 pm QED: a conversation about math and math education, with Paul Bendich; hosted by Ingrid Daubechies (online) Tue, Jul 23 2:00 pm Senior Sessions: “Polyomino Puzzlers” (online) Tue, Jul 23 5:00 pm LEGO Robotics Summer Program at MoMath for ages 6–9, session 3 of 8 (in person) (drop-off) Tue, Jul 23 6:30 pm Walk with Me in the Mathemalchemy Wonderland, a series with Distinguished Visiting Professor Ingrid Daubechies (in person) Wed, Jul 24 4:00 pm 7:00 pm Free! Math Gym, a workout for your brain (online) Thu, Jul 25 6:30 pm Walk with Me in the Mathemalchemy Wonderland, a series with Distinguished Visiting Professor Ingrid Daubechies (in person) Fri, Jul 26 4:30 pm Folding Fridays, MoMath’s weekly origami series (online) Sun, Jul 28 3:00 pm to 4:30 pm Online Topological Crochet (online) Mon, Jul 29 to Fri, Aug 2 9:00 am to 3:00 pm Transformations 2024, the summer program at MoMath — Session Six: "Phantastic Physics" (grades 1–6) (in person) Extended-day options available until 5:00 pm. Mon, Jul 29 6:30 pm Ask a Mathematician — Anything! featuring Ingrid Daubechies (online) Tue, Jul 30 5:00 pm LEGO Robotics Summer Program at MoMath for ages 6–9, session 4 of 8 (in person) (drop-off) Tue, Jul 30 6:30 pm Starring Math: a discussion of The Devotion of Suspect X; hosted by Ingrid Daubechies (online) Wed, Jul 31 2:00 pm Senior Sessions: “Dynamic Dice” (online) Fri, Aug 2 4:30 pm Folding Fridays, MoMath’s weekly origami series (online) Mon, Aug 5 to Aug 9 9:00 am to 3:00 pm Transformations 2024, the summer program at MoMath — Session Seven: "Puzzle Master" (grades 1–6) (in person) Extended-day options available until 5:00 pm. Mon, Aug 5 6:30 pm Volumes: a discussion of A Russian Childhood by Sofya Kovalevskaya; hosted by Ingrid Daubechies (online) ◷ Tue, Aug 6 5:00 pm LEGO Robotics Summer Program at MoMath for ages 6–9, session 5 of 8 (in person) (drop-off) Tue, Aug 6 6:30 pm Meet a Mathematician; hosted by Ingrid Daubechies (online) ◷ Wed, Aug 7 4:00 pm 7:00 pm Free! Math Encounters: “Piecemeal Puzzle: the Graph Reconstruction Problem” featuring Rik Sengupta (in person) ◷ Thu, Aug 8 2:00 pm Senior Sessions: “Rep-tiles” (online) Thu, Aug 8 6:30 pm QED, a conversation about math and math education, with Robin Wilson; hosted by Ingrid Daubechies (online) Fri, Aug 9 4:30 pm Folding Fridays, MoMath’s weekly origami series (online) ◷ Fri, Aug 9 6:30 pm Free! Family Fridays: “Tying Math and Art Together: Hands-on Fun with Mathematical Knots” with Mircea Draghicescu (in person) ◷ Sun, Aug 11 1:00 pm to 2:30 pm Extensions, MoMath’s online gifted math program (grades 6-12) (online) Sun, Aug 11 4:30 pm Tween Primes: a discussion of Can You Crack the Code? A Fascinating History of Ciphers and Cryptography by Ella Schwartz; hosted by Ingrid Daubechies (online) Mon, Aug 12 to Fri, Aug 16 9:00 am to 3:00 pm Transformations 2024: “Games Galore” (grades 1–3) (in person) Extended-day options available until 5:00 pm. Mon, Aug 12 to Fri, Aug 16 9:00 am to 3:00 pm Transformations 2024: “Twisted Worlds” (grades 4–9) (in person) Extended-day options available until 5:00 pm. Tue, Aug 13 2:00 pm Senior Sessions: “Magic Squares” (online) Tue, Aug 13 5:00 pm LEGO Robotics Summer Program at MoMath for ages 6–9, session 6 of 8 (in person) (drop-off) Tue, Aug 13 6:30 pm Starring Math: a discussion of Radical, with Erika Tatiana Camacho and Hortensia Soto; hosted by Ingrid Daubechies (online) Thu, Aug 15 6:30 pm Equilibrium, adult game night at MoMath (in person) ◷ Fri, Aug 16 4:30 pm Folding Fridays, MoMath’s weekly origami series (online) ◷ Sun, Aug 18 6:30 pm to 8:00 pm Unlimited, MoMath’s mix-n-mingle program for middle and high school students (in person) (drop-off) ◷ Mon, Aug 19 to Fri, Aug 23 9:00 am to 3:00 pm Transformations 2024: “What Are the Chances?” (grades 1–6) (in person) Extended-day options available until 5:00 pm. Mon, Aug 19 6:30 pm Ask a Mathematician — Anything! featuring Ingrid Daubechies (online) Tue, Aug 20 5:00 pm LEGO Robotics Summer Program at MoMath for ages 6–9, session 7 of 8 (in person) (drop-off) Wed, Aug 21 2:00 pm Senior Sessions: “Exhibit Explorations: Pythagorean Puzzlers” (online) Wed, Aug 21 6:30 pm Mathematical Illusions, featuring Aurelio Sánchez Estévez (in person) Fri, Aug 23 4:30 pm Folding Fridays, MoMath’s weekly origami series (online) ◷ Mon, Aug 26 to Fri, Aug 30 9:00 am to 3:00 pm Transformations 2024: “Adventures in Ancient Math” (grades 1–6) (in person) Extended-day options available until 5:00 pm. Tue, Aug 27 5:00 pm LEGO Robotics Summer Program at MoMath for ages 6–9, session 8 of 8 (in person) (drop-off) Wed, Aug 28 4:00 pm 7:00 pm Free! Math Gym, a workout for your brain (online) Thu, Aug 29 2:00 pm Senior Sessions: “Cryptarithmetic” (online) Fri, Aug 30 4:30 pm Folding Fridays, MoMath’s weekly origami series (online) ◷ Aug 31 thru Sep 4 MATRIX x IMAGINARY 2024 joint conference, hosted by the SwissMAP Research Station (Les Diablerets, Switzerland) Fri, Sep 6 4:30 pm Folding Fridays, MoMath’s weekly origami series (online) ◷ Fri, Sep 13 4:30 pm Folding Fridays, MoMath’s weekly origami series (online) ◷ Fri, Sep 13 6:30 pm Free! Family Fridays with Kevin Bowman (in person) ◷ Tue, Oct 15 6:30 pm The 2024 MoMath Gala (in person) Fri, Nov 8 6:30 pm Free! Family Fridays: “Möbius Moves” with Richard Schwartz (in person) ◷ Aug 10–12, 2025 MOVES 2025: “The Shapes of Math” Ongoing programming Math on the House — sign up to be notified when free, last-minute seats become available for select events; there’s a deal almost every day! Legend ◷ Registration and details coming soon. Visit the Museum Purchase admission tickets to visit MoMath at visit.momath.org, or show your support for MoMath by joining as a member at join.momath.org. Members receive free unlimited admission and free access to an extensive library of event recordings. Need a gift for the math fan in your life? Give them a MoMath gift card! Give the gift of math! Purchase a gift card by phone at 212-542‑0566 or stop by Additions, the shop at MoMath, to pick up your card today, good for purchases in the shop or admission to the Museum. _____________ WIN A FREE IN-SCHOOL MOMATH FIELD TRIP! Looking to take your students on an illuminating mathematical journey without leaving campus? Let MoMath come to your school… for free! MoMath is selecting a few lucky schools in the New York City area to win a free on-campus visit. Each field trip offers hands-on math activities led by MoMath’s specially trained educators and designed around inspiring, mathematical themes not often covered in schools, such as cryptography, geometry, graph theory, probability, and topology! All schools are eligible to apply; spots are extremely limited. Enter to win a field trip _____________ STAY CONNECTED MoMath in the News * Check out this New York Times article, What Can You Do With an Einstein?, featuring the winners of the Einstein Mad Hat Awards. * Check out this New York Times article, Sculptures That Don’t Have to Add Up to Work Like Magic. * What Improv Can Do for Mathematicians highlighting MoMath’s Math Outreach Seminar and Training (MOST) Program for early career professionals in mathematics who identify as female (New York Times) * With a New, Improved ‘Einstein,’ Puzzlers Settle a Math Problem featuring MoMath’s Outreach Mathematician, Chaim Goodman-Strauss (New York Times) * Why Are There So Many Big Lottery Jackpots? featuring MoMath’s Distinguished Visiting Professor, Tim Chartier (NerdWallet) * Conversations with women in STEM: Museum of Mathematics & Cindy Lawrence, Executive Director of MoMath (Ordinarily Extraordinary) * Using Math To Teach The Rules Of Baseball (NBC News 4) * Visit inthenews.momath.org for more! Math on the House mailing list — sign up to be notified when FREE event tickets become available MoMath is pleased to offer Math on the House, a mailing list for valued Museum patrons to receive free, last-minute tickets to select events when spots become available. To subscribe, visit mathonthehouse.momath.org. Beautiful Math See what mathematicians think is beautiful about mathematics at beautiful.momath.org. _____________ APPLY NOW Integrators: The MoMath High School Volunteer Program (in person) MoMath accepts a limited number of high school students for ongoing volunteer roles during summer vacation and/or the academic year. The Integrators program offers a unique chance to improve interpersonal and communication skills, explore mathematical concepts, and learn valuable job skills. MoMath Integrators interact with visitors (on the Museum floor or online) and train with professional educators, interpreters, and managers. Students who participate during summer vacation commit five days per week, while school-year participants commit approximately one day per week, typically a Saturday or Sunday, from September through June. Learn more at integrators.momath.org. School field trips and other educational opportunities (in person/online) MoMath offers almost two dozen educator-led sessions for K-12 students, ranging from constructing polygons to creating Möbius strips, available either in person or online. Bring your students to MoMath for a peek into the exciting world of mathematics, and see why students and teachers of all ages love the Museum. Or, let MoMath come to you — choose from a range of on-campus options, including MoMath educator-led activities or MoMath traveling exhibits. Learn more and register at fieldtrips.momath.org. Title I schools are eligible for free programs and field trips (in person/online) MoMath’s free outreach programs for Title I schools include in-person and online field trips to the Museum, workshops presented by experienced MoMath educators in your classroom, and visits to your school by Math Midway 2 Go (MM2GO), MoMath’s travelling suite of original mathematical exhibits. Support for these programs is now available, thanks to contributions from individuals and organizations including: Judith Gibbons and Francesco Scattone, Con Edison, The Scripps Family Fund for Education and the Arts, Two Sigma, the Hearst Foundations, the Manhattan Community Awards Program (MCAP), and New York City Council Members Carlina Rivera (Council District 2) and Mercedes Narcisse (Council District 46). These programs are supported, in part, by public funds from the New York City Department of Cultural Affairs in partnership with the City Council. To apply for one of these free programs, visit titleone.momath.org. Interested in sponsoring one of them? Email donation@momath.org. _____________ MADE SPECIALLY FOR YOU Host your birthday party at MoMath! (in person or online!) Looking to host a one-of-a-kind birthday party full of fabulous mathematical fun? Invite your guests to MoMath for unique party activities and games, plus a chance to explore more than 40 engaging exhibits! From captivating constructions to scintillating scavenger hunts, enjoy exceptional experiences for birthday celebrants of all ages. Can your hands race as fast as your minds? With your choice of customized activities, parties can be personalized for all ages of birthday boys and girls — from children through adults, from simple to complicated. Not in New York? Check out MoMath’s origami birthday parties, available exclusively online — you and your guests can learn the wondrous art of paper folding from an origami expert! Birthday honorees of all ages are welcome to celebrate at MoMath. For pricing and details, please vist momath.org/birthdays. Arrange for one-on-one math tutoring (in person/online) Is your child struggling in math? Or are they mathematically precocious and ready for more? We can help! MoMath is offering limited private tutoring for grades K–12 with certified teachers who have extensive experience successfully teaching students online and in the classroom. Whether your child needs assistance with homework or exam preparation, or they’re eager to discover the beauty in mathematics beyond the curriculum, MoMath’s instructors are ready to help. For more information, please email tutoring@momath.org. Have MoMath come to YOUR SCHOOL! Book an educator visit, MM2Go traveling exhibition, or on-campus field trip today Students and educators, let MoMath come to you! MoMath’s fully vaccinated and engaging math specialists can bring MoMath’s unique blend of enriching math activities and/or hands-on MM2GO exhibits to your campus, anywhere in the US and beyond. Learn more and book your in-school MoMath workshop today at fieldtrips.momath.org. (Sponsorships for Title I schools are available; funding is limited. Apply online at titleone.momath.org.) Corporate events, galas, weddings, team outings, and more Looking to host a one-of-a-kind event where your guests can interact with more than 40 engaging exhibits? Enter a world of mathematical intrigue, but don’t worry — amidst all the activity, there is plenty of space for gala-worthy dinners, over-the-top birthday bashes, laser-cutting parties, and bar/bat mitzvahs. Did your first date begin at MoMath, the Top Date Spot for Intellectually Curious People in NYC? We’ll custom-design for you a marriage proposal hidden (in a mathematically cryptic fashion, of course) in the Museum. And be sure to book the wedding at MoMath! Who knew math could be this much fun? Email programservices@momath.org for more information. _____________ JOIN THE TEAM Are you passionate about spreading a love of mathematics? Contact us — we’d love to welcome you to the team! Send the following to jobs@momath.org: a cover letter, your résumé with GPA, and a statement (at least one paragraph long, but no more than a page, please) describing your views on mathematics or an experience you’ve had related to mathematics. Positions are available in education, administration, marketing, technology, communications, and more — visit jobs.momath.org for a complete list of MoMath’s exciting job and volunteer opportunities. _____________ GET INVOLVED Become a MoMath member! Become a member today and take advantage of exciting and engaging math programs for all ages. Join now to receive unlimited access to MoMath’s innovative exhibits, plus discounts for select programs and for products in Additions, the shop at MoMath. Members also receive free registration to select online programs, free access to recordings of MoMath programs, and exclusive invitations to members-only online events. Become a premium member and receive priority seating at monthly Math Encounters presentations, early notices to register for events, special invitations to exclusive MoMath member events, discounts on birthday parties, and more. Purchase your tax-deductible membership at join.momath.org. Volunteer at MoMath MoMath welcomes volunteers who provide valuable support in a variety of individual ways across the Museum, in both public-facing and internal roles. Are you a high school or college student who loves math and would like to earn the President’s Volunteer Service Award by assisting during special events or helping Museum visitors enjoy MoMath’s interactive suite of exhibits? Are you an adult who can occasionally assist with MoMath events, demonstrations, birthday parties, and other activities at the Museum? Are you a professional — especially if you are an educator, administrator, videographer, or technologist — who would like to donate your expertise and time to MoMath? MoMath welcomes your support! Learn more and sign up at volunteers.momath.org. Spread the word Like MoMath? Let the world know! Share your comments on: * Facebook * Twitter: @MoMath1 * Instagram: @momath1 * YouTube * TripAdvisor 225 Fifth Avenue, New York, NY 10010 212-542-0566 • info@momath.org Open 7 days a week 10:00 am – 5:00 pm * Home * Visit * Calendar * Exhibits * Contribute * About * Press * Join * Jobs * Shop * Volunteer © MoMath, 2019 • Website designed by Mathigon.org THOMAS LI, SKATEBOARDING IN 4 DIMENSIONS The judges are excited to recognize the video, “Skateboarding in 4 Dimensions,” by Thomas Li from Clarksville, MD, for its originality in making the connection between skateboarding and rotations in three dimensions. The video is passionate and fun, and the judges loved its playfulness. The skewering of the apple and Thomas’s genuine enthusiasm—conveying his belief that quaternion multiplication is cool—added to the video’s charm. This engaging and educational video stands out for its creativity and the enthusiasm it brings to learning and applying complex mathematical concepts. Click here to watch Thomas’s video. CLOSE ARIA MAKHIJA AND OMA MAKHIJA, PRIMES CARD GAME The judges are thrilled to recognize “PRIMES Card Game,” by Aria and Oma Makhija from Florham Park, NJ, for its elegant and original design, presenting a challenging yet accessible experience for players of all ages. The game involves using four given numbers and the basic operations of arithmetic (addition, subtraction, multiplication, division) to make a target prime number at the center of the card, encouraging players to find multiple solutions when possible. This engaging game can be played solo or with multiple players, providing excellent practice in mental arithmetic and fostering an appreciation for the properties of prime numbers. The card design is particularly commendable, offering clear instructions and examples that enhance gameplay. The accompanying video is both fun and informative, brimming with great energy. PRIMES Card Game stands out not only for its simplicity but also for its ability to engage and entertain children and adults alike. Click here to watch their video. CLOSE ALEX ROSENZWEIG, “THE FACE FIELD” While taking a course in multivariable calculus, Alex Rosenzweig became fascinated by the concepts of gradients and vector fields. Struck by the use of the same word — “gradient” — in art, he composed this watercolor painting to illustrate the mathematical meaning of gradients and vector fields in this innovative, three-dimensional series of self-portraits. The image charmed the judges mathematically and pedagogically, as well as artistically. Click here to view the painting. CLOSE SOHIL RATHI, MASTERING AMC 8 – RECURSION Sohil Rathi created a comprehensive prep text for students interested in the American Mathematics Competition. This hybrid book, featuring both text and videos, serves as a valuable resource for aspiring competitors. In particular, the judges were intrigued by a collection of problems about recursion formulas, including a nifty stair-climbing problem related to the Virankha-Fibonacci numbers. With accompanying video solutions, as well as helpful pointers and strategies, this collection is sure to benefit students seeking to excel in the AMC competitions. Click here to view Sohil’s writing. × PARTH PATEL, ORTHOGONAL FRIENDS In this captivating expository paper, Parth Patel’s novel concept of on “Orthogonal Friends” emerges from his initial misunderstanding of a calculus lesson on orthogonal trajectories. The paper not only demonstrates a clear understanding of the mathematical concepts but also successfully conveys the broader point that mistakes can be remarkably fruitful, and that mathematics is a realm of endless exploration and discovery. This paper was a joy to read! Click here to view Parth’s paper. × ROHAN MEHTA, THE ATTENTION MECHANISM DEMYSTIFIED Rohan Mehta’s attempt to explain the mathematical underpinnings of transformers, such as ChatGPT, demonstrates a deep understanding of advanced mathematical concepts. Despite the complexity of the topic, Rohan’s explanations are clear and provide intuitive understanding. The writing style showcases a remarkable level of grace, confidence, and sophistication, leaving the judges astonished that this work was produced by a high school student. Click here to view Rohan’s writing. × ANAYA WILLABUS, COOL MATH IS COMPLEX/HAIKU’S BEAUTY IS SIMPLE/MATH MAKES POETRY In this remarkable exploration of communicating math concepts through the art of haiku, Anaya Willabus offers a new way to entice people to learn about complex mathematical topics. The inclusion of notorious unsolved problems, such as the Collatz conjecture, adds a captivating twist. The judges were particularly impressed by the inventiveness of this endeavor, recognizing its potential as a gateway to bridging the gap between mathematics and poetry and enhancing the public’s engagement with math. Click here to view Anaya’s poetry. × ZOË NADAL, ZERO’S LAMENT The judges were delighted by Zoë Nadal’s exceptional performance in the entry “Zero’s Lament.” With witty lyrics, captivating singing, and impressive piano playing, she conveyed the mathematical quirks of zero in a memorably original fashion. Zoë’s musical talent and humor, combined with the video’s educational content, add up to a uniquely entertaining experience. Click here to watch Zoë’s performance. × JAEMIN KIM, BENFORD’S LAW Immersing viewers in a whimsical cartoon fairy tale, Jaemin Kim tells a tale of a kingdom in financial distress as a narrative device to introduce the statistical regularity known as Benford’s law. This creative video serves as an engaging platform to demonstrate how Benford’s law can be employed as a powerful tool for fraud detection. The judges were struck by the clarity of the explanation, which effectively conveyed the meaning and intuitive understanding behind Benford’s law, and they admired the playful videography and storytelling that brought the concept to life. Click here to view Jaemin’s video. × GRIFFIN HON, PRINCIPAL COMPONENT ANALYSIS Griffin Hon’s video effectively conveys the key ideas of Principal Component Analysis (PCA), a fundamental tool in linear algebra and data analysis. With a spirit of invention and playfulness, Griffin reveals the hidden geometry underlying PCA. The judges were impressed by the engaging approach taken in the video and commend Griffin’s ability to communicate complex mathematical concepts in an entertaining, down-to-earth fashion. Click here to see Griffin’s video. × AKILAN SANKARAN, EXPLORING AND EXPLAINING THE ELEGANCE OF MATHEMATICS THROUGH TWITTER The judges were enthralled by Akilan Sankaran’s exceptional teaching and warm demeanor in the writing entry entitled “Math on Twitter.” With clarity and expertise, he presents the “éclair puzzle,” related to Fibonacci-Virankha numbers, and uses this puzzle to illustrate problem-solving strategies more generally. His post on Eulerian circuits offers clear graphs, historical insights, and optional proofs. Akilan’s skill at blending theory, history, and education truly create an engaging and unique Twitter experience. The judges commend Akilan for his stellar ability to teach complex mathematical ideas with clarity and enthusiasm, making the journey through mathematical concepts both enjoyable and satisfying, all while fostering a dedication to an inclusive and welcoming learning space. Click here to view Akilan’s Twitter stream. × ISABELLE SCHWARTZ, COVID AMERICAN ANGELS The judges were deeply moved by the emotional impact and thoughtfulness in “COVID American Angels.” This poignant piece delves into the overwhelming reality of the unfathomable 200,000 deaths caused by COVID, employing a powerful symbol—the American flag—to represent each life lost. Through this visual representation, Isabelle Schwartz explores the profound challenge of visualizing such vast numbers and implores us to connect with each human life beyond mere statistics. “COVID American Angels” stirs our emotions and provokes reflection. The judges applaud her for tackling such a challenging subject matter with grace and sensitivity, creating a stunning piece of art that leaves a lasting impression. Click here to view Isabelle’s art. × KAREEM JABER, THE UNSOLVABLE CONFIGURATION OF THE 15 PUZZLE AND AN INTERESTING APPROACH TO ABSTRACT ALGEBRA In Kareem Jaber’s essay on the 15 puzzle, the exposition builds from the concrete to the general, and gently walks the reader through this classic puzzle as well as through problem-solving techniques more broadly. By the end, it becomes clear that this puzzle is actually a case study in group theory about permutations. The judges felt that Kareem’s entry was particularly suitable for students with a serious interest in mathematics. Click here to read the essay. × Adam Dhalla, Mathematics and Artificial Intelligence: Selected Writings ADAM DHALLA, MATHEMATICS AND ARTIFICIAL INTELLIGENCE: SELECTED WRITINGS In this impressive collection of videotaped lectures about the math of neural networks, deep learning, and artificial intelligence, Adam Dhalla keeps it old school, standing in front of a whiteboard and using colored markers, but he modernizes the classic style by providing useful timestamps in the video description. The judges also admired his stage presence, his clear voice, and the production quality of the videos. Click here to visit Adam’s site × GRIFFIN HON, RANDOM WALKS The judges were bowled over by the energy and sense of humor in Griffin Hon’s entry, “Random Walks”! This video will appeal to kids of all ages, and it does a great job of conveying the excitement, importance, and universality of random walks. The subject of random walks pops up in many parts of mathematics and has applications in fields ranging from finance to physics, all of which were engagingly presented in Griffin’s video. Click here to watch the video. × RIN FUKUOKA, ORIGAMETRY In “Origametry,” Rin Fukuoka uses origami to construct regular polygons and also to trisect an angle. The judges found the video very fresh, playful, and minimal (no words are spoken, and only a few are written). The level of the teaching is especially skillful (for example, note the appropriate pauses in the trisection argument after the rhetorical question “but why?”). At that point and elsewhere, Rin demonstrates great sensitivity to the audience. Click here to watch the video × ANGELA WU, THE SPECIAL PARALLELOGRAMS Angela Wu earned honorable mention for her suspenseful movie trailer about special parallelograms: rectangles, rhombuses, and squares. It’s a funny and well-edited video that will have wide appeal. Click here to watch the video × RAUNAK BANERJEE, PCA MADE EASY Using shadows of an airplane as an example, Raunak Banerjee’s illustrated essay offers a welcome introduction to principal component analysis, a dimension reduction technique in data science, and then deciphers the jargon that often clouds the understanding of this statistical technique. Click here to read his essay. × THAIS ESTRADA-NUÑEZ, UNIVERSAL MATH In this elegantly brief poem, Thais Estrada-Nuñez starts from “One seed plus one seed is two seeds,” and soon we’re taking flight (and the layout of the poem itself looks like it’s taking flight on the page). The overall effect is stylish, with hints of subtlety and depth. Click here to read the poem. × ARUSHEE JHA, ROUND KÖNIGSBERG Arushee Jha’s website, “Round Königsberg,” is dedicated to combinatorics and is enlivened by Arushee’s colorful original drawings. Viewers will be drawn in by the website’s exposition of such engaging topics as the seven bridges of Königsberg (a seminal problem in the development of graph theory) and the history and reasoning behind magic squares. Click here to visit the website. × WYETH RENWICK, A PROOF OF THE FUNCTION ME Wyeth Renwick’s poem is intriguingly ambiguous and open to interpretation: some of the judges read it as a love poem that winks at the reader with its use of mathematical concepts and language, while others saw it as a poetic animation of a human relationship, viewed as the graph of a function. Either way, it makes math and poetry both seem more accessible to students who might otherwise not be drawn to these subjects. Click here to read the poem. × Madeline Chun, Mathematics and the Marimba In her project, Madeline uses the musical instrument known as the marimba to demonstrate something profound about music: musical harmony is intimately connected to the ratios of small whole numbers, a discovery that Pythagoras and his followers are said to have made 2500 years ago. The judges were impressed with the clarity and elegance of Madeline’s explanations and demonstrations. Click here to watch Madeline’s video. × Jibran Iqbal Shah, @creative_math_ Jibran has an Instagram site, @creative_math, where he introduces high school students to topics normally reserved for undergraduate math majors. The judges admired the attractiveness of his posts and how skillfully he explains advanced mathematical ideas, always with a friendly voice. Click here to read Jibran’s posts. × Alyssa Choi, Tic-Tac-Toe Alyssa wrote a paper that explains the optimal strategy for tic-tac-toe and also explores variants of the game on a 4×4 grid and in a 3x3x3 cubical lattice in three dimensions. The judges appreciated the clarity and originality of Alyssa’s investigations. Click here to read Alyssa’s paper. × Cole Leis, On the Importance of Humanizing Math Communication Cole’s project was an essay about “a disconnect between the way math is typically portrayed and the way that it is actually done.” Math textbooks and papers usually try to look flawless, but anyone who does math knows how messy and confused it can be when you’re actually doing it. Cole interviewed several mathematicians about this disconnect and produced a cogent argument that math communication would be more effective if we humanized it by showing our mistakes as well as our insights. Click here to read Cole’s essay × Ian Liu, The Golden Phi-ano Song For his project, Ian constructed a song out of the digits of the irrational number known as the golden ratio (also known as the divine proportion because of its beauty). All the judges found the project intriguing as an exploration and thought the song itself was surprisingly pretty. Click here to listen to Ian’s song. × Madeleine Farr, A 3D Valerie Thomas, But Not How You'd Think Madeleine created a portrait of the mathematician Valerie Thomas. The judges were impressed with this project’s inventiveness: it uses nothing but the characters “3D”—artfully placed—to create a powerfully evocative portrait of a mathematician known for her work on 3D satellite imaging. × Helena Soares, This Fundamental Theorem - A Found Poem Helena wrote a “found poem” – a poem where every word (except for “you” and “us”) is from another source, in this case the MathWorld article by Eric Weisstein on “Fundamental Theorems of Calculus.” Helena rearranged the words to create something totally unexpected, an understated little poem that took the judges’ breath away. Click here to read Helena’s poem. × Shreya Mogulothu and Amy Wang, Combinatorial Proofs... and Basketball Shreya and Amy teamed up to bring a combinatorial identity to life. Using basketball as a mathematical playground, they showed two approaches to calculating how many ways a player could make or miss n shots, and thereby neatly led the viewer through a proof that the sum of the binomial coefficients “n choose k” from k = 0 to n equals 2^n. The video is goofy and fun: Amy writes (and playfully trash-talks) while Shreya shoots and, before you know it, they’ve derived the identity for the sum of the binomial coefficients. The judges enjoyed the simple but clever videography, the banter between the girls, and their neat explanations of the math. Click here to watch the video × Julia Schanen, Math Person Julia Schanan’s entry for the Strogatz Prize was a free-verse poem titled “Math Person.” The judges were moved by the poem’s artistry and emotional power, its depth and raw honesty, its brilliant use of language, and its eye for the unexpected but telling detail. “Math Person” conveys – in ways both beautiful and haunting – the isolation Julia felt as one of the only girls in the American Math Competition 10th grade and, more profoundly, the intellectual isolation she still feels every day as someone who loves math deeply yet lacks a friend with whom to share it. Mom offers to stop by Panera as a treat for all the painful math that I’ve just endured. Except it wasn’t painful. I’m someone who sat through the slow-drip of middle school math, bored and daydreaming, not seeing what it was all for, wishing – but never working up the guts to push – for more. Not until now. Now, I don’t want Panera. I don’t want to be patted on the shoulder and misunderstood. I want to go back into that auditorium and finish the exam and talk about it all night. The judges felt that their own words were inadequate to summarize Julia’s achievement in writing “Math Person.” Let us simply say, read her poem and experience it for yourself. Click here to read Julia’s poems. × Apoorva Panidapu, Gems in STEM Apoorva Panidapu is a 16-year-old mathematics student, artist, and advocate for youth and gender minorities in STEAM. She writes a blog called “Gems in STEM” and frequently posts the essays on Cantor’s Paradise, the #1 math site on Medium.com. She sees her blog as “a place to learn about math topics in an accessible, light-hearted manner. I assume no more than basic math knowledge and include fun tidbits for learners of all experience levels. For both my own fun and for readers, I weave in pop culture, pick-up lines, and over-the-top stories to let people into the fantastical world of math, and to show them that anyone can enjoy anything.” The judges were very impressed with Apoorva’s joyful, elegantly written blog posts on a wide range of math topics, from the liar’s paradox and partitions to tessellations and fractals. Combining clear explanations with an appealing layout and well-chosen graphics, Gems in STEM is itself a gem. The judging panel loved the wide range of Apoorva’s blog posts. They touch on history, etymology, and puzzles, and make connections to everything from art and architecture to science and nature. Apoorva’s uplifting message is that math is everywhere and approachable by anyone from any background. Click here to read Apoorva’s posts. × Shirley Zhu, Combinatorics: Sticks and Stones Shirley’s animated video is filled with jokes and pop-culture references, intended to appeal to younger audiences (though the audience of older judges enjoyed it very much too). Her goal, she says in her essay, is to demystify “mathematics with humor, fun animations, and real-world scenarios.” In her video, Shirley illustrates a technique in combinatorics known as Sticks and Stones (or Stars and Bars) by telling a story about Grandpa Bob’s dilemma: He wants to know how many different ways there are for him to distribute 10 one-dollar bills among his three granddaughters. With excellent pedagogy (including falling into a tempting mathematical trap and then showing how to get out of it), the video shows the viewer how to count all ways Grandpa Bob can solve his problem. The video is fun and fast-paced, but spends just the right amount of time on the harder ideas and leavens them with colorful graphics and word choice. Click here to watch Shirley’s video × Catherine Stanton, Understanding Set Theory Catherine’s video was inspired by her struggle to understand why the empty set is a subset of every set. As she wrote in her essay for this contest, “I’ve never been one to accept or memorize a mathematical concept unless it makes complete sense to me, so I decided to go beyond sheer numbers and create an analogy. I realized that the sets on my page could be related to my classes at school. As the elements of a mathematical set are numbers, the elements of a class are students. When some are absent, only a “subset” of the class exists. And when all are absent, a subset of the class still exists since the class period still technically occurs. This analogy wasn’t something I wanted to keep to myself, and so it became the basis of my entry to the Strogatz Prize competition!” The judges appreciated Catherine’s lucid explanations and accompanying graphics. Set theory is often regarded as one of the most abstract parts of math, but in Catherine’s hands, it becomes tangible and vivid. Her classroom analogy should appeal to any student. Beyond that, Catherine gives the viewer a glimpse of the universality of set theory and a taste of its applications in computer science. Click here to watch Catherine’s video × Smayan Khanna, 4 Colour Map Theorem In this video about a famous theorem in graph theory and topology, Smayan beautifully explains why every planar map can be colored with just four colors, in such a way that neighboring countries always have different colors. The video is gentle and clear, and enlivened by plentiful graphics, neatly synchronized to Smayan’s narration. He gives the viewer helpful intuition about how inequalities (for vertices, edges, and faces of planar graphs) can be used to cut a seemingly infinite problem down to a finite number of cases, which can then be checked by computer. The judges felt that this was a very crisp presentation of a deep result in advanced mathematics, explained in a way that anyone can grasp and enjoy. Click here to watch Smayan’s video × Math, Music, and the Moral Imagination Jazz saxophonist and mathematician Marcus G. Miller will share a reflection on how math and music can make us whole. Marcus G. Miller is a musician and mathematician living in New York City. × Logic Puzzle John Urschel, current MIT math PhD candidate and former NFL pro, shares his favorite logic puzzle. John Urschel played professional football for the Baltimore Ravens from 2014 to 2017 before retiring to focus on his career in mathematics. He is currently a PhD candidate at MIT, where he studies spectral graph theory, numerical linear algebra, and machine learning. × Brainteaser Kahoot Get ready to take part in a whacky and zany brainteaser Kahoot with Steve Sherman. This is a quiz that will tickle your brain-strings and challenge your thinking skills. Some of the brainteasers will be easy while others will make you think. Do you have what it takes to be our brainteaser champion? Materials needed: * Smart phone, tablet, or personal computer with internet access Steve Sherman is the Chief Imagination Officer and Executive Daydreamer of Living Maths. × The Doomsday Rule When visiting MoMath, the late, great John Horton Conway impressed people by instantly telling them the day of the week that any given date fell on or will fall on. And you can do it too! What date of the week will your birthday fall on next year? Or your anniversary? Or favorite holiday? When’s the next Friday the 13th? What day of the week were you born on? Tune in for a presentation by MoMath Puzzle Master Peter Winkler on the marvelous “Doomsday rule.” It’s easy and fun, and with a little practice you’ll be able to duplicate Conway’s feat. It’s a great trick, and it’s cleverly designed so that you can remember it and wheel it out whenever it’s needed. Materials needed: * Paper * Pencil Peter Winkler is the current MoMath Distinguished Chair for the Public Dissemination of Mathematics and Professor of Mathematics and Computer Science at Dartmouth College. × Moving in Circles Join Karl Schaffer as we play with several surprising ways of moving our limbs in circles. Apply these actions to create movement sequences with the ultimate mathematical prop — an ordinary sheet of paper. Then, learn how it connects to the curious algebra of quaternions! Materials needed: * Several sheets of 8.5″ by 11″ printer paper * 5′ by 5′ area in which to move (non-carpeted area preferred) Karl Schaffer is a dancer, choreographer, mathematician, and math professor at De Anza College. × Conway's Rational Tangles What can the fluidity of topology and knots have to do with the rigidity of operations on fractions? Join Alex Kontorovich to learn the fascinating connection discovered by the late mathematician John Conway. Materials needed: * 2 strings of different colors (wires or shoelaces are also okay) * Surface to lay the strings on (e.g. floor or table is fine) * Optional materials: paper and pencil Alex Kontorovich is MoMath Dean of Academic Content and math professor at Rutgers. × Folding Fun! Origami expert Wendy Zeichner will teach one or two origami action models that will be folded from regular printer paper. There’s math in every fold! Materials needed: * Several sheets of 8.5″ x 11″ printer paper * Pen or pencil * Scissors Wendy Zeichner is an origami expert and president of OrigamiUSA. × Math in Motion: Build Your Own Paper Spinner Turn two pieces of heavy paper and some tape into a spinning top, and explore the geometry behind it! Join Yana Mohanty, Ph.D., a mathematician and inventor of Geometiles®, as she guides you through this fun STEM activity. You will be provided with a printable template and shown how to transform it into your spinner. Once you master the simple construction, you may decorate your spinner with your own design. Materials needed (metric equivalents in brackets): * 2 sheets of 8.5” x 11” (size A4) card stock paper, ideally in 2 different colors; manila folders cut to 8.5” x 11” will also work * Scissors * Tape * Optional: This project can also be built from Geometiles® Mini Set 2, available from Additions, the online shop at MoMath. Yana Mohanty is a math educator, mathematician, and the creator of Geometiles®. × One Step Back, One Step Forward If repeated flips of a coin determined which step you took, would you get anywhere? Step right in (bring your own coin) and find out! Materials needed: * 1 coin * Paper * Pencil Ralph Pantozzi is the winner of the 2014 Rosenthal Prize and a Presidential Awardee in math teaching. × Numbers Meet Shapes in 3D Geometry Let’s discover the magic of Euler’s Polyhedral Formula while creating structures out of toothpicks and marshmallows. Materials needed: * 1 box of traditional rounded toothpicks with points at both ends * 1 bag of mini marshmallows * Paper * Pencil Bruce Bayly is a math professor at the University of Arizona and bus driver for the Arizona Mathematics Road Show. × Engineering with Paper Join us online for a math-and-paper engineering adventure! Godwyn Morris, Director of Dazzling Discoveries STEM Education Center, will demonstrate some Engineering with Paper challenges. Together we will explore proportion, ratio, and scale as Godwyn shows you how to create structures, furniture, and characters from simple supplies. Materials needed: * Printer paper * Tape * Scissors Godwyn Morris is the Director of Dazzling Discoveries STEM Education Center. × Mathemagics! Dr. Arthur Benjamin will amaze you with some mathematical magic, and then teach you how to do it. Bring a calculator! Materials needed: * Calculator Art Benjamin is an award-winning popular entertainer, mathemagician, and math professor at Harvey Mudd College. × How to Fold Things into Thirds, Thirty-Thirds, and Three-Hundred-and-Thirty-Three-"irds" Bring along something bendy — a tie, a shoelace, a piece of string — and let’s have fun exploring some of the curious mathematics of folding. Materials needed: * Something bendy, such as a tie, shoelace, or piece of string James Tanton is a global educator, math popularizer, and mathematician. × Can Math Help You Juggle? Educator and entertainer John Chase will show you the powerful connections between mathematics and juggling. Math modeling has given jugglers all kinds of new patterns to juggle, and we invite you to come see what mathematics can do. Bring three juggling objects so you can join the fun! Materials needed: * 3 juggling objects John Chase is a mathematical juggler and math educator. × A Four-Card Mathematical Magic Trick Manjul Bhargava will demonstrate an interactive magic trick that exhibits how one can create surprising complexity from extreme simplicity. Viewers are encouraged to participate from home! Materials needed: * 4 playing cards Manjul Bhargava is the MoMath Inaugural Distinguished Visiting Professor for the Public Dissemination of Mathematics, math professor at Princeton University, and Fields Medalist. × Activities from the Julia Robinson Mathematics Festival Come and enjoy some non-competitive explorations in mathematics. Mark Saul is the Senior Scientist at the Julia Robinson Mathematics Festival. × Let the Math Fun Begin! Cindy Lawrence, MoMath Executive Director, and Tim Nissen, MoMath Associate Director, welcome all to the fifth annual NYC Math Festival, featuring hours of mathematical fun and entertainment. Join presenters from all over the world to share an afternoon of lively, engaging activities. James Tanton, Chair of MoMath’s Advisory Council, kicks the Festival off by sharing the highly intriguing “International Math Salute.” Can you figure out how it works? × NYC Math Festival Pre-Show The Festival site opens at 1:30 pm EDT (New York). Enter at any time between 1:30 pm and 2:00 pm to view some favorite MoMath pix from years gone by. Activities begin promptly at 2:00 pm EDT (New York). × See our selection of Geometiles® and browse for books by Festival presenters Peter Winkler and Art Benjamin. A MoMath retail specialist will be on hand to answer questions and offer expert shopping advice for all your mathematical gift needs. × Stop by to view a selection of Rubik’s Cubes, browse for Christopher Danielson’s delightful books, Which One Doesn’t Belong? and How Many?, and learn more about the film The Man Who Knew Infinity, for which Manjul Bhargava served as technical advisor to ensure the accuracy of the math featured in the film. A MoMath retail specialist will be on hand to answer questions and offer expert shopping advice for all your mathematical gift needs. × Check out MoMath’s selection of colorful origami paper, Karl Schaffer’s book Math Dance, and other great items from Additions, the online shop at MoMath. A MoMath retail specialist will be on hand to answer questions and offer expert shopping advice for all your mathematical gift needs. × Math Meets Art: Rubik's Cube Mosaics Watch as Lauren Rose builds a Rubik’s Cube mosaic, and try to figure out what the picture will be. Math meets art in this creative application of the popular Rubik’s Cube. Lauren Rose is a mathematician and math professor at Bard College. × Rubik's Cube With Feet Daniel Rose-Levine will demonstrate how he solves the Rubik’s Cube with his feet in under 20 seconds. Daniel Rose-Levine is the former Rubik’s-Cube-with-feet world record holder. × Mime-matics How can the invisible world of mime explore mathematical ideas? Join Tim Chartier as he uses mime to investigate weight, magnitude of force, and projective motion with the art of mime. You’ll also learn how to make an infinite chocolate bar. (The candy bar is a real prop but eating is pantomimed so enjoyment is calorie-free.) Tim Chartier is a mathematical mime performer and math professor at Davidson College. He has performed throughout the world and has been trained in several mime schools, including master classes with the legendary Marcel Marceau. × Finding and Creating Symmetry Symmetry is all around us. We see symmetry in our bodies, car wheels, fences, fabric patterns, the MoMath logo, and many other objects! We will learn about different types of symmetry and have fun creating symmetric art using common objects. David Reimann is an Albion College math and computer science professor and artist who uses symmetry in his work. × Fun with Mathematical Definitions Is an elevator a vehicle? Is a hot dog a sandwich? Is a heart a shape? Is an emoji a word? The answers to these questions depend on your definitions of vehicle, sandwich, shape, and word. Precise definitions are essential tools of mathematics, but few definitions start out as precise as they’ll need to be later on. Come play with the boundary between precision and ambiguity in this fast-paced participatory session. Christopher Danielson is an award-winning author and math educator. × Math Raps and the Math Behind Them Join Mr. A. as he shares one of his many Math Raps, discusses how he got started rapping about math, and takes you through some of the mathematical ideas and references in the rap. Mike Andrejkovics is a high school math teacher from Long Island, NY who creates and performs raps about mathematics based on popular hip-hop tracks. × Christopher Danielson is an award-winning author and math educator. × Cindy Lawrence is the Executive Director and CEO of the National Museum of Mathematics. Tim Nissen is the Associate Director of the National Museum of Mathematics. × Steve Sherman is the Chief Imagination Officer and Executive Daydreamer, Living Maths. × Peter Winkler is the MoMath Current Distinguished Visiting Professor for the Public Dissemination of Mathematics. × Karl Schaffer is a dancer, choreographer, mathematician, and math professor at De Anza College. × Alex Kontorovich is MoMath Dean of Academic Content and math professor at Rutgers. × Art Benjamin is an award-winning popular entertainer, mathemagician, and math professor at Harvey Mudd College. × Bruce Bayly is a singer, violinist, and math professor at the University of Arizona. × Daniel Rose-Levine is the former Rubik’s-cube-with-feet world record holder. × David Reimann is an Albion College math and computer science professor and artist who uses symmetry in his work. × Godwyn Morris is the Director of Dazzling Discoveries STEM Education Center. × James Tanton is a global educator, math popularizer, and research mathematician. × John Chase is a mathematical juggler and math educator. × Lauren Rose is a dancer, choreographer, mathematician, and math professor at De Anza College. × Manjul Bhargava is the MoMath Inaugural Distinguished Visiting Professor for the Public Dissemination of Mathematics, math professor at Princeton University, and Fields Medalist. × Mark Saul is the Executive Director of the Julia Robinson Mathematics Festival. × Mike Andrejkovics is a high school math teacher from Long Island, NY who creates and performs raps about mathematics based on popular hip-hop tracks. × Origami expert Wendy Zeichner is the Executive Director of Origami USA. × Ralph Pantozzi is the winner of the 2014 Rosenthal Prize and a math educator. × Yana Mohanty is a math educator, mathematician, and the creator of Geometiles®. × Carolyn Figuereo is the retail manager of the National Museum of Mathematics. × Tim Chartier is a mathematical mime performer, math professor at Davidson College. × International Math Salute Details TK × Rohan Jha LIVINGSTON, NJ -------------------------------------------------------------------------------- “The purpose of Math Musings, the magazine I started in high school,” wrote Rohan Jha, “was to show that math is everywhere, yet many times we are not aware of it. It is behind some of the music we play, or how nature uses it for its own optimal benefit, or it could be behind a fancy card trick, or math could help us reduce the ubiquitously observed annoyance of traffic jams during peak hours.” The magazine tries to humanize and enliven math in various ways: by telling anecdotes about famous mathematicians; by challenging fellow students with fun puzzles; or by leading them some deeper ideas, such as a lily pad puzzle that leads to the notion of backward recursion in finance. With clear illustrations and step-by-step instructions for magic tricks and other activities, Rohan attempts to make math fun for everyone… and succeeds admirably. × Kyna Airriess CORONADO, CA -------------------------------------------------------------------------------- The project submitted by Kyna Airriess is a “zine” based on a quote from A Mathematician’s Lament, a polemical essay by high school teacher Paul Lockhart. “There is nothing as dreamy and poetic, as radical, subversive, and psychedelic, as mathematics,” wrote Lockhart. Reading Lockhart’s essay, says Kyna, “contributed to my own conversion from ardent math-hater to aspiring mathematician; I’d never heard someone describe math, the subject of unfeeling calculations, with words like ‘poetic’ and ‘radical.’ It was a long time before I began to see these traits for myself, but today I self-identify as a math nerd, and I want to study math in college.” In the zine, each of Lockhart’s memorable adjectives—dreamy, poetic, subversive, and psychedelic—is illustrated and connected to math ideas, using symbols, history, color, and imagery. The judges were impressed by the passionate energy conveyed by the zine’s words and design. The overall effect achieves what Kyna intended: to embody “what those of us who love math want the world to understand. It isn’t about cold calculations at all— it’s a field full of creativity and beauty, and it is just as infused with humanity as any other.” × Sarah Thau NEW YORK, NY -------------------------------------------------------------------------------- “Limericks and poetry are not a typical way to convey information about math,” admits Sarah Thau, “but I think it makes it more palatable than learning functions by rote. Who doesn’t love a limerick?” So Sarah created a series of short rhyming poems to list some basic properties of linear, quadratic, trigonometric, polynomial, rational, and other types of functions encountered in algebra and precalculus, and illustrated the pages with examples. The judges were tickled by the playfulness of this entry. Limericks are a lighthearted form of poetry in which creativity comes from working within constraints and overcoming them delightfully—and much the same can be said of math! Indeed, as Sarah wrote, “I love math and am always trying to solve problems but this was a new type of problem to tackle. One that didn’t need any algebra or modeling. Each poem became a problem to solve as I tried to figure out words to make each function type’s properties rhyme neatly.” The poems illuminate the distinctive properties of the various kinds of functions, and draw readers in through a unique, creative, and memorable way of communicating mathematical ideas. × Jonah Yoshida HONOLULU, HI -------------------------------------------------------------------------------- Jonah Yoshida’s project is a pencil-and-paper infographic on graph theory. He says “I conceived of the idea when reading about how Arthur Cayley used trees to represent structures of hydrocarbons with n carbon atoms and 2n+2 hydrogen atoms. The entire structure imitates one of these hydrocarbons, ethane (n=2), and a unique application of graph theory is included inside each atom. I divided the page into two sections so that the hydrogens bonded to the left carbon contain puzzles and fun applications of graph theory, while the ones bonded to the right hydrogen focus more on direct applications, much like our brains’ left and right hemispheres.” For example, the Four Color Theorem (a fun application of graph theory to coloring maps and an longstanding research question) appears on the left, while the right side includes applications of graphs to computer science (neural networks and spanning trees) and electrical engineering (circuit diagrams). The judges appreciated the ingenious design concept of this graphic, which underscores the universality and interdisciplinary spirit of graph theory. The words and imagery combine history, math, chemistry, and psychology, and the questions in the small text boxes invite the reader to do some research of their own. × Yvonne Hong TORONTO, ON -------------------------------------------------------------------------------- “My math communication project, Infinity Universe,” wrote Yvonne Hong, “is an illustrative yet mathematical depiction of the world in which we live. Every inanimate object illustrated represents a simple, yet ubiquitous concept in math: upon closer inspection, the monochromatic tree is a fractal Pythagoras tree, the galaxy in the background is constructed using the Fibonacci sequence, and the planet and comet are both different variations of the Apollonian gasket. Infinity Universe promotes the universality of math communication through an abstraction of objects and phenomena that people all around our world are familiar with.” Carefully executed with great attention to detail, the painting submitted by Yvonne drew the judges in with its vibrant colors and hypnotic patterns. Moreover, the theme of infinity pervades the painting, just as it does in all of mathematics. But here, the suggestion of the infinite is magical and otherworldly rather than scientific and literal, and so may appeal to audiences not normally attracted to math. × Zoe Markman NEW YORK, NY -------------------------------------------------------------------------------- Zoe Markman created a visual proof of the “sum of squares formula” by cleverly using three wooden 3-D pyramids that fit together. Each pyramid consisted of a total of 12 + 22 + … + n2 identical wooden cubes; thus, its volume visually represented the sum of the squares of all the whole numbers from 1 to n. To find a formula for this sum of squares, Zoe manipulated and rearranged the three pyramids to form a rectangular prism, whose volume could then be easily calculated to obtain the desired formula for the sum of squares. The judges agreed with Zoe that this sort of visual, hands-on manipulative “provides a deeper understanding of math than that provided by a written project. Since you can observe, hold, and manipulate the pyramids (even more so in person), the audience is able to understand why the formula works rather than just taking it at face value and accepting that it was true arbitrarily. Second, the presentation could be understood even by people without a significant knowledge of math. It put what looks like an intimidating problem in terms that are easily digestible.” Zoe even tested the presentation on friends who said they didn’t like math. That’s a good practice in any form of communication. Overall, this project is modest but extremely well done and produces a very pleasurable “Aha!” moment for many viewers; indeed, it led one of the judges to understand the “sum of squares formula” in a whole new way! × Katarina Cheng SANTA MONICA, CA -------------------------------------------------------------------------------- To express the universality of math, Katarina Cheng translated it into another universal language: dance. “Just as dance exists as a part of many cultures around the globe to express abstract ideas and emotions through movement, mathematics defies cultural lines to express abstract ideas through structures and forms on the page,” she wrote in her project description. Her video “Dancing the Dihedral Group” sought, through dance, “to represent the visual symmetries, primarily those of a square,” and, through words, “how they translated into algebra, primarily the group D8 .” The judges commend Katarina for the elegance of her communication in the video. Especially notable was the esthetic of minimalism — in how the video is shot, and the choice of clothing, background, and colors — all of which mesh perfectly with the minimal esthetic of group theory. The integration of the math graphics with the dance moves was also carried out gracefully. Although others in the past have recognized the similarities between math and dance, few have conveyed that analogy with such finesse in the execution. The dancing and music were artfully minimal too. The overall effect is to reinforce the central idea of beauty in simplicity. × Hamza E. Alsamraee CENTREVILLE, VA -------------------------------------------------------------------------------- Hamza Alsamraee loves Instagram – and he also loves math. But when he noticed that very few math pages existed on Instagram, he sought to change that by starting @daily_math, a page dedicated to intriguing problems and ideas about algebra, geometry, calculus, number theory, and other parts of math. “With high-quality educational posts,” he says, “I hoped to build an Instagram community centered around a shared passion for math.” The judges were impressed with the creativity of Hamza’s entry, expressed through its skillful use of visuals, history, and puzzles, all presented in attractive ways. His explanations of mathematical concepts are clear and insightful, and he is very interactive with his followers, even inviting them to post. The judges also commend him on his growth as a creator and communicator. His Instagram page has evolved from a focus on tricky integrals in the early days to doing more accessible problems now, and the visual presentation has evolved in tandem. With his engaging design choices, which foster clear communication, he is making increasingly good use of the strengths of the Instagram medium. × Hamza E. Alsamraee CENTREVILLE, VA -------------------------------------------------------------------------------- Click here for the Daily Math Instagram account. Click here for the Daily Math Tik Tok account. × ShareThis Copy and Paste