In geometry, the truncated great dodecahedron is a nonconvex uniform polyhedron, indexed as U37. It has 24 faces (12 pentagrams and 12 decagons), 90 edges, and 60 vertices.[1] It is given a Schläfli symbol t{5,5/2}.
^Maeder, Roman. "37: truncated great dodecahedron". MathConsult.
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In geometry, the truncateddodecahedron is an Archimedean solid. It has 12 regular decagonal faces, 20 regular triangular faces, 60 vertices and 90 edges...
of truncation. The dual is a greatdodecahedron. The dodecadodecahedron is a rectification, where edges are truncated down to points. The truncated small...
In geometry, the greatdodecahedron is a Kepler–Poinsot polyhedron, with Schläfli symbol {5,5/2} and Coxeter–Dynkin diagram of . It is one of four nonconvex...
producing the great icosahedron. The truncatedgreat stellated dodecahedron is a degenerate polyhedron, with 20 triangular faces from the truncated vertices...
In geometry, a truncated icosidodecahedron, rhombitruncated icosidodecahedron, great rhombicosidodecahedron, omnitruncated dodecahedron or omnitruncated...
Great snub dodecicosidodecahedron Great snub icosidodecahedron Great stellated truncateddodecahedronGreattruncated cuboctahedron Greattruncated icosidodecahedron...
and the convex hull of both forms is a truncated icosidodecahedron. Kepler first named it in Latin as dodecahedron simum in 1619 in his Harmonices Mundi...
geometry, the great stellated truncateddodecahedron (or quasitruncated great stellated dodecahedron or great stellatruncated dodecahedron) is a nonconvex...
center of a truncation sequence between a small stellated dodecahedron and greatdodecahedron: The truncated small stellated dodecahedron looks like a...
crossed quadrilateral. It shares its vertex arrangement with the truncatedgreatdodecahedron and the uniform compounds of 6 or 12 pentagonal prisms. It additionally...
Archimedean truncated cuboctahedron. As such it is face-transitive but with irregular face polygons. It resembles an augmented rhombic dodecahedron. Replacing...
the small stellapentakis dodecahedron is a nonconvex isohedral polyhedron. It is the dual of the truncatedgreatdodecahedron. It has 60 intersecting triangular...
the great stellated dodecahedron. The truncatedgreat stellated dodecahedron is a degenerate polyhedron, with 20 triangular faces from the truncated vertices...
In geometry, the truncatedgreat icosahedron (or greattruncated icosahedron) is a nonconvex uniform polyhedron, indexed as U55. It has 32 faces (12 pentagrams...
the small stellated truncateddodecahedron (or quasitruncated small stellated dodecahedron or small stellatruncated dodecahedron) is a nonconvex uniform...
constructions of the rhombic dodecahedron are also space-filling, and as parallelotopes they are similar to variations of space-filling truncated octahedra. For example...
removal. The regular dodecahedron is the third in an infinite set of truncated trapezohedra which can be constructed by truncating the two axial vertices...
In geometry, the great disdyakis dodecahedron is a nonconvex isohedral polyhedron. It is the dual of the uniform greattruncated cuboctahedron. It has...
faces in common). The truncatedgreat stellated dodecahedron is a degenerate polyhedron, with 20 triangular faces from the truncated vertices, and 12 (hidden)...
edges and 60 vertices. It shares its vertex arrangement with the truncatedgreatdodecahedron and the uniform compounds of 6 or 12 pentagonal prisms. It additionally...
geometry, the great pentakis dodecahedron is a nonconvex isohedral polyhedron. It is the dual of the uniform small stellated truncateddodecahedron. The pentagonal...
5 Platonic solids are called a tetrahedron, hexahedron, octahedron, dodecahedron and icosahedron with 4, 6, 8, 12, and 20 sides respectively. The regular...
dual polyhedron is the regular dodecahedron {5, 3} having three regular pentagonal faces around each vertex. The great icosahedron is one of the four...
midpoints of their segments. Cuboctahedron Greattruncated icosidodecahedron Icosahedron Rhombicosidodecahedron Truncated icosidodecahedron Weisstein, Eric W...
the great stellapentakis dodecahedron (or great astropentakis dodecahedron) is a nonconvex isohedral polyhedron. It is the dual of the truncatedgreat icosahedron...
shares its vertex arrangement with the truncateddodecahedron. It additionally shares its edge arrangement with the great ditrigonal dodecicosidodecahedron...