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  • Hyperbolic Planar Tesselations

    Here are pictures of some regular tesselations of the hyperbolic plane. Each tesselation is represented by a Schlafli symbol of the form {p,q}, which means that q regular p-gons surround each vertex. There exists a hyperbolic tesselation {p,q} for every p,q such that (p-2)*(q-2) > 4. Each tesselation is shown in various stages of truncation. The dual of each tesselation or truncated tesselation is

    rikuo
    rikuo 2005/08/11
    理屈抜きで単純に美しい。エッシャーの「円の極限」みたい
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