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The Mathematical Playground – making learning more interactive and engaging than ever before, and FREE for everyone. Part of @amplify
mathigon.org

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Leonardo Da Vinci created these beautiful illustrations for a book by Luca Pacioli about polyhedra: https://t.co/nxVTCSPymL

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In 1915, Emmy Noether discovered an amazing correspondence between the symmetries of space (e.g. translations), and conservation laws in physics (e.g. energy and momentum). It shows how mathematics can explain even the most fundamental laws of nature. https://t.co/mK5X1YQJ9Y

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Regular pentagons don't tessellate, but some irregular ones do. There are just 15 different options, the last of which was discovered in 2015. https://t.co/u3eYG9rcjx

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Penrose tilings are examples of aperiodic tessellations – even though they only consist of a few different shapes, they never repeat themselves. https://t.co/IQKCeUTtvB

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It’s Can you solve these four new puzzles? https://t.co/0qMstJ5gEk

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Happy More than 2000 years ago, the Greek mathematician Eratosthenes found a way to measure the radius of Earth just using shadows, angles, and simple geometry: https://t.co/WhhzNXC4Cr

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This is an example of a Penrose tiling: a special kind of tessellation that is “non-periodic”. Even though it consists of just four different tiles, it never repeats itself. https://t.co/5zKarTm1gO

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