论文标题
Tangram Pentagons的完整表征
The complete characterization of tangram pentagons
论文作者
论文摘要
当一个人要求所有满足特定几何特性的坦格拉姆人物时，中国拼图汤兰（Tangram）就会引起严重的数学问题。自1942年以来，所有$ 13 $凸形的丹格拉姆人物都闻名。它们包括唯一的三角形和所有六个四边形汤兰（Tangram）图。 $ n \ ge 6 $的所有$ n $ gonal Tangram人物的家庭都是无限或空的。在这里，我们表征了所有$ 53 $五角形坦格拉姆的数字，包括$ 51 $ non-convex五角大车和$ 31 $的五角星，其顶点不包含在同一正交晶格中。
The old Chinese puzzle tangram gives rise to serious mathematical problems when one asks for all tangram figures that satisfy particular geometric properties. All $13$ convex tangram figures are known since 1942. They include the only triangular and all six quadrangular tangram figures. The families of all $n$-gonal tangram figures with $n \ge 6$ are either infinite or empty. Here we characterize all $53$ pentagonal tangram figures, including $51$ non-convex pentagons and $31$ pentagons whose vertices are not contained in the same orthogonal lattice.
