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Can One Line Visit All 60 Corners of a Soccer Ball?
曲線と幾何学

Can One Line Visit All 60 Corners of a Soccer Ball?

翻訳の準備中は英語の原文を表示しています。

作品について

Can one continuous line visit every corner of a soccer ball exactly once?

A soccer ball has the graph of a truncated icosahedron: 60 vertices connected by 90 edges. A Hamiltonian cycle orders all 60 vertices so the moving point follows real edges, visits every corner once, and returns to its starting point. The dim pentagon-and-hexagon cage remains visible as proof.

Artismathic turns equations into visual art—one function at a time.

Music: 'The Challenger' by The Soundings

#MathArt #Geometry #GraphTheory

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P(t)=(1−u)Vk+uVk+1P(t) = (1-u)Vₖ + uVₖ₊₁
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