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How many panels on a soccer ball? - Numberphile

2014-05-13

[public] 223K views, 5.50K likes, 102 dislikes audio only

Applying the Euler Characteristic to a soccer ball (football).

More links & stuff in full description below ↓↓↓

See the Brussels Sprouts video: /youtube/video/OAss481FfAQ

Truncated Icosahedron: /youtube/video/4mEk7d8oRho

An extra bit: /youtube/video/QwfPTE7lEbE

Featuring Teena Gerhardt, Assistant Professor at Michigan State University.

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Vertices Edges and Faces
/youtube/video/Nyo3TjKyu_c?t=24.4
The Euler Characteristic
/youtube/video/Nyo3TjKyu_c?t=57.82
The Euler Characteristic Can Be Different for Different Shapes
/youtube/video/Nyo3TjKyu_c?t=110.439
Use the Euler Characteristic To Show that a Standard Soccer Ball Tiling Has To Have 12 Pentagon's and 20 Hexagons
/youtube/video/Nyo3TjKyu_c?t=461.26999