About: Möbius–Kantor polygon

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In geometry, the Möbius–Kantor polygon is a regular complex polygon 3{3}3, , in . 3{3}3 has 8 vertices, and 8 edges. It is self-dual. Every vertex is shared by 3 triangular edges. Coxeter named it a Möbius–Kantor polygon for sharing the complex configuration structure as the Möbius–Kantor configuration, (83). Discovered by G.C. Shephard in 1952, he represented it as 3(24)3, with its symmetry, Coxeter called as 3[3]3, isomorphic to the binary tetrahedral group, order 24.

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  • In geometry, the Möbius–Kantor polygon is a regular complex polygon 3{3}3, , in . 3{3}3 has 8 vertices, and 8 edges. It is self-dual. Every vertex is shared by 3 triangular edges. Coxeter named it a Möbius–Kantor polygon for sharing the complex configuration structure as the Möbius–Kantor configuration, (83). Discovered by G.C. Shephard in 1952, he represented it as 3(24)3, with its symmetry, Coxeter called as 3[3]3, isomorphic to the binary tetrahedral group, order 24. (en)
  • 在幾何學中，莫比烏斯－坎特八邊形是一個複正多邊形，其位於複希爾伯特平面中由八個頂點和八個三元稜組成，是一個自身對偶的多邊形。考克斯特將其命名為莫比烏斯－坎特八邊形，用於共享結構，如。 這種形狀由於1952年發現，其將此形狀根據其對稱性以3(24)3表示，考克斯特將這種對稱性計為3[3]3，其與24階的同構。 (zh)
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  • In geometry, the Möbius–Kantor polygon is a regular complex polygon 3{3}3, , in . 3{3}3 has 8 vertices, and 8 edges. It is self-dual. Every vertex is shared by 3 triangular edges. Coxeter named it a Möbius–Kantor polygon for sharing the complex configuration structure as the Möbius–Kantor configuration, (83). Discovered by G.C. Shephard in 1952, he represented it as 3(24)3, with its symmetry, Coxeter called as 3[3]3, isomorphic to the binary tetrahedral group, order 24. (en)
  • 在幾何學中，莫比烏斯－坎特八邊形是一個複正多邊形，其位於複希爾伯特平面中由八個頂點和八個三元稜組成，是一個自身對偶的多邊形。考克斯特將其命名為莫比烏斯－坎特八邊形，用於共享結構，如。 這種形狀由於1952年發現，其將此形狀根據其對稱性以3(24)3表示，考克斯特將這種對稱性計為3[3]3，其與24階的同構。 (zh)
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  • Möbius–Kantor polygon (en)
  • 莫比烏斯－坎特八邊形 (zh)
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