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Skip to content ARCHIMEDES LAB PROJECT Inspiring and Creative Resources & Tutorials for Science-Curious People Menu * Home * Blog * About * Donate * Facebook * Twitter * Youtube * Pinterest * Contact Scroll down to content POSTS Posted on March 12, 2024 THE ORIGIN OF MODERN ALPHABETS The Phoenician alphabet is a writing system exclusively representing consonants, requiring readers to infer vowel sounds. Beginning in the ninth century BC, adaptations of this alphabet thrived, including Greek, Old Italic, and Anatolian scripts. Its appealing feature was its phonetic nature, with each sound (including vowels) represented by a single symbol, simplifying learning to only a few dozen symbols. The Phoenician alphabet is an abjad writing system. Posted on March 3, 2024 NESTED PENROSE TRIANGLES This is an illusory geometric structure that cannot exist in our 3D world. Let’s Explore its captivating depths and intrigue. Here’s how to create this impossible structure. Start by drawing two parallel lines spaced apart from each other and divide them into 7 equally spaced lines. Then follow the visual steps A, B, C, and D illustrated below. At the beginning (fig. A), you will need to replicate the alignment of the 9 parallel lines three times while applying a 60-degree rotation to each one, finally arranging them to form a triangle. Subsequently, follow the visual directions in B and C to obtain the figure shown in fig. D. © Giannisarcone.com, source. At last, you can add color and gradients to the structure as illustrated below. © Giannisarcone.com, source. Discover prints and merchandise featuring this op art masterpiece at my online gallery. © Giannisarcone.com, source. Posted on March 3, 2024 TOPOLOGICAL ODDITY: A PICTURE-HANGING PUZZLE Imagine the linear pattern as a hanging rope. Now, removing any one of these four nails will cause the entire rope to fall. Image courtesy of Flickr user fdecomite. Explore further… Posted on February 27, 2024 ILLUSORY STRUCTURES That’s what happens when you fall down a Penrose staircase… Posted on February 7, 2024February 7, 2024 LOGARITHMIC AND FIBONACCI SPIRALS IN PLANT PHYLLOTAXIS Nature, particularly in plants, features logarithmic and Fibonacci spirals, exemplifying the elegance of natural design and the rhythmic dance of life, encompassing symmetry and other intriguing mathematical phenomena, including recursive functions. Spiral patterns in plants emerge from their repetitive growth, where each turn closely mirrors the previous one with scaling or rotational adjustments. This growth process, common in nature and known as phyllotaxis, utilizes recursive functions, which can generate logarithmic and Fibonacci spiral patterns. * * * * Posted on February 5, 2024 SUDOKU FOR DUMMIES The binary edition for those affected by number blindness. Posted on February 4, 2024 THE FASCINATING WORLD OF RUNIC CALENDARS The Runic calendar, also referred to as a Rune almanac, served as a perpetual timekeeping tool throughout Northern Europe until the 19th century. Structured with lines of symbols, it marked significant astronomical events and celebrations, including solstices, equinoxes, and Christian holidays. These symbols were often etched onto parchment or carved into various materials such as wood, bone, or horn. One of the most esteemed examples of these calendars is Worm’s Norwegian runic calendar from 1643, renowned for its bone craftsmanship. Danish Antiquarian Ole Worm featured it in his book “Fasti Danici, universam tempora computandi rationem antiquitus in Dania et vicinis regionibus observatam libris tribus exhibentes.” Although he extensively detailed the winter months in his work, he omitted details regarding the summer season. Fortunately, supplementary insights are provided through ‘runstavs’ and ‘primstavs.’ ‘Runstavs’ served as runic sticks used in divination practices, while ‘primstavs’ were Norwegian wooden calendar sticks primarily employed for timekeeping and weather prediction. Read more. Posted on February 3, 2024February 3, 2024 BEYOND 65 DIGITS, Π SERVES NO PRACTICAL PURPOSE For spatial engineers’ highest accuracy calculations, used in interplanetary navigation, 3.141592653589793 is more than sufficient. Let’s understand why more decimals aren’t needed. Consider these examples: • Voyager 1, the farthest spacecraft from Earth, is about 14.7 billion miles away. Using π rounded to the 15th decimal, the circumference of a circle with a radius of 30 billion miles would be off by less than half an inch. • Earth’s circumference is roughly 24,900 miles. The discrepancy using limited π would be smaller than the size of a molecule, over 30,000 times thinner than a hair. • The radius of the universe is about 46 billion light years. To calculate the circumference of a circle with a radius of 46 billion light years to an accuracy equal to the diameter of a hydrogen atom, only 37 decimal places are necessary. • With just 65 decimal places, we could determine the size of the observable universe within a Planck length, the shortest measurable distance. While π’s digits are endless, for microscopic, macroscopic or cosmic endeavors, very few are necessary. Posted on January 31, 2024January 31, 2024 NEARLY RIGHT Did you know? When you calculate (π4+π5)/e6, you get around 1! This means a triangle with sides π2, e3, and √π5 is nearly a right triangle… Posted on January 23, 2024 BALANCE & UNITY: HEXAGONAL-HEPTAGONAL HARMONY This heptagonal radial tessellation with hexagonal tiles not only serves as an aesthetically pleasing visual creation but also stands as a testament to the harmonious coexistence of mathematical precision and artistic expression. POSTS NAVIGATION Page 1 Page 2 … Page 19 Next page SEARCH Search for: Search ABOUT ARCHIMEDES LAB Mental activities and tutorials that enhance critical and creative thinking skills. Our expertise lies in delivering engaging educational and entertaining content to book and magazine publishers. In addition, we specialize in creating innovative thinking games and visually appealing materials for various applications, including recreation, culture, and advertising. Buy us a coffee CATEGORIES Categories Select Category Animation Curiosity Equations Experiments Geometry History Humor Kinetics Kynetics Language Magic Mathematics Nature New Release Numbers Optical illusion Perception Puzzle Science Series Theorem Topology Tridimensional Uncategorized RECENT POSTS * The Origin of Modern Alphabets March 12, 2024 * Nested Penrose Triangles March 3, 2024 * Topological Oddity: A Picture-Hanging Puzzle March 3, 2024 * Illusory Structures February 27, 2024 * Logarithmic and Fibonacci Spirals in Plant Phyllotaxis February 7, 2024 * Sudoku for Dummies February 5, 2024 * The Fascinating World of Runic Calendars February 4, 2024 ARCHIVES Archives Select Month March 2024 February 2024 January 2024 December 2023 November 2023 October 2023 September 2023 August 2023 June 2023 May 2023 April 2023 March 2023 February 2023 January 2023 November 2022 October 2022 September 2022 August 2022 July 2022 April 2022 February 2022 January 2022 December 2021 October 2021 August 2021 July 2021 June 2021 May 2021 April 2021 January 2021 December 2020 November 2020 October 2020 September 2020 August 2020 July 2020 June 2020 May 2020 April 2020 March 2020 February 2020 January 2020 December 2019 November 2019 October 2019 September 2019 August 2019 July 2019 May 2019 April 2019 March 2019 January 2019 December 2018 November 2018 October 2018 September 2018 August 2018 May 2018 January 2018 December 2017 TAGS * 8 (2) * art (3) * circle (3) * circles (3) * cube (2) * cubes (3) * design (2) * dodecagon (2) * donut (2) * doughnut (2) * escher (3) * fibonacci (8) * fraction (2) * fractions (2) * gianni sarcone (4) * golden angle (2) * golden ratio (3) * hexagon (4) * illusion (2) * infinite (2) * Klein bottle (2) * knots (2) * Magic (4) * magic square (5) * numbers (3) * penrose (4) * pentagon (2) * phi (6) * Pi (8) * playing cards (2) * points (2) * prime (5) * prime number (2) * Puzzle (3) * right triangle (5) * Series (2) * spiral (2) * square (6) * square root (4) * squares (3) * sum of cubes (3) * theorem (7) * topology (5) * triangle (4) * two (2) OUR RECENT EDUCATIONAL BOOKS Eye Bogglers ISBN 1780970749 Ultimate Eye Twisters ISBN 1783124482 Fantastic Optical Illusions ISBN 178739235X Illusion d'Optique playing card deck Optical Illusions ISBN 1682973395 You can't possibly color this! ISBN 1633223515 Impossible Folding Puzzles ISBN 0486493512 Hidden Picture Puzzles ISBN 1623540380 How To Draw Incredible Illusions ISBN 1623540607 Amazing Optical Illusions ISBN 1787391639 CONTACT US contact@archimedes-lab.org ABOUT THIS SITE Mental activities and tutorials that enhance critical and creative thinking skills SEARCH Search for: Search SPONSORED POSTS * Facebook * Twitter * Youtube * Pinterest * Email Proudly powered by WordPress