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great ditrigonal icosidodecahedron : ウィキペディア英語版
great ditrigonal icosidodecahedron

In geometry, the great ditrigonal icosidodecahedron is a nonconvex uniform polyhedron, indexed as U47. It has extended Schläfli symbol a or c, as an ''altered great stellated dodecahedron'' or ''converted great icosahedron'', and Coxeter diagram . It has 4 Schwarz triangle equivalent constructions, for example Wythoff symbol 3 | 3/2 5, and Coxeter diagram File:Great ditrigonal icosidodecahedron cd.png.
Its circumradius is \frac times the length of its edge, a value it shares with the cube.
== Related polyhedra ==

Its convex hull is a regular dodecahedron. It additionally shares its edge arrangement with the small ditrigonal icosidodecahedron (having the triangular faces in common), the ditrigonal dodecadodecahedron (having the pentagonal faces in common), and the regular compound of five cubes.

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