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Gnerd

posted Sep 24, 2025

Weird Geometries You Didn’t Learn in School

1Taxicab Geometry
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In this geometry, distance is measured like a taxi driving along city blocks instead of a straight line. That means “circles” look like tilted squares.

2Hyperbolic Tilings
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Patterns that fill an infinite curved space where tiles shrink forever at the edges. Made famous by M.C. Escher’s Circle Limit.

3Penrose Patterns
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A tiling discovered in the 1970s using just two shapes that never repeats, yet still looks symmetric and beautiful.

4Klein Bottle
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A bottle with no inside or outside — like a Möbius strip taken into 3D. It can’t truly exist without intersecting itself.

5Apollonian Gaskets
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Pack circles inside circles forever, and you get an infinite fractal pattern with no gaps.

6sample YouTube video

This is sample video