In geometry, the Rhombicosidodecahedron is an Archimedean solid, one of thirteen convex isogonal nonprismatic solids constructed of two or more types of regular polygon faces. It has a total of 62 faces: 20 regular triangular faces, 30 square faces, 12 regular pentagonal faces, with 60 vertices, and 120 edges.

The rhombicosidodecahedron is created by either truncating (cutting off) the dodecahedron one half of the way into each side or by truncating the icosahedron one half of the way into each side. 62 total faces: 20 equilateral triangles, 30 squares and 12 regular pentagons. 60 vertices: 1 triangle, 2 squares and 1 pentagon. 120 edges

The term "rhombicosidodecahedron" is most commonly used (e.g., Wenninger 1989, p. 28; Maeder 1997. Model 27) to refer to the 62-faced Archimedean solid with faces 20{3}+30{4}+12{5}. Cundy and Rowlett (1989, p. 111) refer to that solid as the "(small)" rhombicosidodecahedron, and that convention is followed in this work, where it is termed the ...

3D model of a nonconvex great rhombicosidodecahedron. In geometry, the nonconvex great rhombicosidodecahedron is a nonconvex uniform polyhedron, indexed as U 67. It has 62 faces (20 triangles, 30 squares and 12 pentagrams), 120 edges, and 60 vertices. [1] It is also called the quasirhombicosidodecahedron. It is given a Schläfli symbol rr{5 ...

The great rhombicosidodecahedron is the 62-faced Archimedean solid with faces 30{4}+20{6}+12{10}. It is also known as the rhombitruncated icosidodecahedron, and is sometimes improperly called the truncated icosidodecahedron (Ball and Coxeter 1987, p. 143; Maeder 1997; Conway et al. 1999), a name which is inappropriate since truncation would ...

The (small) rhombicosidodecahedron (Cundy and Rowlett 1989, p. 111), sometimes simply called the rhombicosidodecahedron (Maeder 1997; Wenninger 1989, p. 27; Conway et al. 1999; Maeder 1997), is the 62-faced Archimedean solid with faces 20{3}+30{4}+12{5}.

The great rhombicosidodecahedron or grid, also commonly known as the truncated icosidodecahedron, is the most complex of the 13 Archimedean solids. It consists of 12 decagons, 20 hexagons, and 30 squares, with one of each type of face meeting per vertex.

a rhombicosidodecahedron is a shape that has 20 regular triangular faces, 30 square faces, 12 regular pentagonal faces, 60 vertices, and 120 edges. Johannes Kepler in Harmonices Mundi (1618) named this polyhedron a rhombicosidodecahedron, being short for truncated icosidodecahedral rhombus, with...

2023年1月11日 · The rhombicosidodecahedron, also known as the small rhombicosidodecahedron, is a 3D uniform polyhedron bounded by 62 polygons (20 triangles, 30 squares, and 12 pentagons), 120 edges, and 60 vertices.

The rhombicosidodecahedron is the semi-regular polyhedron made up of 12 pentagons, 20 triangles, and 30 squares. As you can see from the sketch on the right, the pentagons have a somewhat stronger visual impact than the other polygons.