步履蹒跚 发表于 2025-3-23 11:50:00

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我们的面粉 发表于 2025-3-23 14:17:08

Tiling Basics,rovisionally formalize these notions by stating that a set . of shapes . the plane if the union of all shapes in . is the entire plane, and that an . is a non-empty intersection between two tiles (in which case . has no overlaps if it consists of pairwise disjoint sets). Under this definition, the t

贫穷地活 发表于 2025-3-23 19:11:10

Symmetry,be surprising that there is a strong connection between symmetry and tilings—tilings of the plane typically feature some degree of repetition, and symmetry is a means of measuring that repetition. Planar symmetry groups have served as a powerful tool in understanding and classifying designs belongin

heterogeneous 发表于 2025-3-23 23:35:22

Isohedral Tilings, every tile plays an equivalent role relative to the whole. Despite that constraint, they still permit a wide range of expression. Decorative tilings developed without explicit mathematical knowledge are frequently isohedral. M.C. Escher developed his own “layman’s theory” for his regular divisions

GOUGE 发表于 2025-3-24 03:33:41

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FOLLY 发表于 2025-3-24 10:15:06

Tiling Basics,t, worthwhile mathematical objects. I will deliberately add more constraints than are strictly necessary mathematically, in order to arrive at a definition suitable for the kinds of tilings that we encounter in computer graphics. After formulating a practical definition, I explore some of the basic

信条 发表于 2025-3-24 11:14:42

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archenemy 发表于 2025-3-24 15:21:28

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ELUC 发表于 2025-3-24 22:10:12

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水土 发表于 2025-3-24 23:27:53

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查看完整版本: Titlebook: Introductory Tiling Theory for Computer Graphics; Craig S. Kaplan Book 2009 Springer Nature Switzerland AG 2009