The truncated pentakis dodecahedron is a convex polyhedron constructed as a truncation of the pentakis dodecahedron. It is Goldberg polyhedron GV(3,0), with pentagonal faces separated by an edge-direct distance of 3 steps.
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geometry, a pentakisdodecahedron or kisdodecahedron is a polyhedron created by attaching a pentagonal pyramid to each face of a regular dodecahedron; that...
– a dodecahedron shaped coccolithophore (a unicellular phytoplankton algae) Pentakisdodecahedron Roman dodecahedron Snub dodecahedronTruncated dodecahedron...
called a pentatruncated pentakisdodecahedron, a dodecahedron, with its vertices augmented by pentagonal pyramids, and then truncated the apex of those pyramids...
of truncation. The dual is a great dodecahedron. The dodecadodecahedron is a rectification, where edges are truncated down to points. The truncated small...
edges. Its dual is the pentakis icosidodecahedron. It is also called a truncated rhombic triacontahedron, constructed as a truncation of the rhombic triacontahedron...
The pentakis snub dodecahedron is a convex polyhedron with 140 triangular faces, 210 edges, and 72 vertices. It has chiral icosahedral symmetry. It comes...
vertex figure of a truncated icosahedron is 5 ⋅ 6 2 {\displaystyle 5\cdot 6^{2}} . The truncated icosahedron's dual is pentakisdodecahedron, a Catalan solid...
the small stellated truncateddodecahedron (or quasitruncated small stellated dodecahedron or small stellatruncated dodecahedron) is a nonconvex uniform...
the great pentakisdodecahedron is a nonconvex isohedral polyhedron. It is the dual of the uniform small stellated truncateddodecahedron. The pentagonal...
will be equilateral, but faces will be coplanar. Icosidodecahedron Pentakisdodecahedron is a slightly smaller Catalan solid which has 60 isosceles triangle...
pentagrams), 180 edges, and 60 vertices. Its stellation core is a truncatedpentakisdodecahedron. It also called a holosnub icosahedron, ß{3,5}. The 40 non-snub...
kI Pentakisdodecahedron kD Deltoidal hexecontahedron oD = oI Disdyakis triacontahedron mD = mI Pentagonal hexecontahedron gD = gI The truncated icosahedron...
inscribed in a dodecahedron so that each vertex of the cube is a vertex of the dodecahedron and each edge is a diagonal of one of the dodecahedron's faces; taking...
tetrahedral symmetry is the triakis tetrahedron (dual of the truncated tetrahedron). The rhombic dodecahedron and tetrakis hexahedron have octahedral symmetry, but...
triangular faces, 48 edges, and 18 vertices. It is a dual of the truncated rhombic dodecahedron. Its name comes from a topological construction from the cuboctahedron...
example, the icosahedron is {3,5+}1,0, and pentakisdodecahedron, {3,5+}1,1 is seen as a regular dodecahedron with pentagonal faces divided into 5 triangles...
to the 20 hexagons and 12 pentagons of the truncated icosahedron, the dual solid to the pentakisdodecahedron. Wenninger, Magnus (1983), Dual Models, Cambridge...
faces The pentakisdodecahedron is the Kleetope of the dodecahedron, formed by adding a pentagonal pyramid to each face of the dodecahedron. The base...
respective duals a triakis icosahedron, a rhombic triacontahedron, or a pentakisdodecahedron.[clarification needed] An elongated icosahedron is a common shape...
polyhedra: small stellated dodecahedron, great dodecahedron, and great icosahedron. They all have 30 edges. The regular dodecahedron can be faceted into one...
this design is not isohedral. 12 Rhombic dodecahedron Each face is a rhombus. 13 Truncated sphere A truncated sphere with thirteen landing positions. Note...
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