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Truncated triakis icosahedron information


Truncated triakis icosahedron
Truncated triakis icosahedron
Conway notation t10kI = dk10tD
Faces 12 decagons
60 pentagons
Edges 210
Vertices 140
Dual Decakis truncated dodecahedron
Vertex configuration 12 (5.5.5)
60 (5.5.10)
Symmetry group Ih
Properties convex

Net

The truncated triakis icosahedron, or more precisely an order-10 truncated triakis icosahedron, is a convex polyhedron with 72 faces: 10 sets of 3 pentagons arranged in an icosahedral arrangement, with 12 decagons in the gaps.

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Truncated triakis icosahedron

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The truncated triakis icosahedron, or more precisely an order-10 truncated triakis icosahedron, is a convex polyhedron with 72 faces: 10 sets of 3 pentagons...

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Triakis icosahedron

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geometry, the triakis icosahedron is an Archimedean dual solid, or a Catalan solid, with 60 isosceles triangle faces. Its dual is the truncated dodecahedron...

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Truncated triakis tetrahedron

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that truncation will be the triakis truncated tetrahedron. The dual of the order-6 Truncated triakis tetrahedron is called a hexakis truncated tetrahedron...

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Truncated triakis octahedron

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pyramids augmented to the faces. Truncated triakis tetrahedron Truncated tetrakis cube Truncated triakis icosahedron George Hart's Polyhedron generator...

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Truncated dodecahedron

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figure of a truncated dodecahedron is 3 ⋅ 10 2 {\displaystyle 3\cdot 10^{2}} . The dual of a truncated dodecahedron is triakis icosahedron, a Catalan solid...

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Great triakis icosahedron

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geometry, the great triakis icosahedron is a nonconvex isohedral polyhedron. It is the dual of the uniform great stellated truncated dodecahedron. Its faces...

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Truncated hexagonal tiling

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also applies to other triakis shapes like the triakis icosahedron and triakis octahedron. It is the dual tessellation of the truncated hexagonal tiling which...

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Dodecahedron

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hexagonal antiprism, D6d symmetry, order 24 Triakis tetrahedron – 12 isosceles triangles, dual of truncated tetrahedron, Td symmetry, order 24 Other less...

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Great stellated dodecahedron

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faces are broken into triangles, it is topologically related to the triakis icosahedron, with the same face connectivity, but much taller isosceles triangle...

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Truncated tetrakis cube

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hexagonal pyramids augmented. Truncated triakis tetrahedron Truncated triakis octahedron Truncated triakis icosahedron George Hart's Polyhedron generator...

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List of mathematical shapes

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dodecadodecahedron Truncated great dodecahedron Truncated great icosahedron Catalan solid Triakis tetrahedron Rhombic dodecahedron Triakis octahedron Tetrakis...

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Conway polyhedron notation

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sO icosidodecahedron aD = aI truncated dodecahedron tD truncated icosahedron tI rhombicosidodeca­hedron eD = eI truncated icosidodecahedron bD = bI snub...

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Octahedron

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octahedral number Spinning octahedron Stella octangula Triakis octahedron Hexakis octahedron Truncated octahedron Octahedral molecular geometry Octahedral...

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Capsid

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dodecahedron, an icosidodecahedron, or a truncated icosahedron and their respective duals a triakis icosahedron, a rhombic triacontahedron, or a pentakis...

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Compound of five truncated tetrahedra

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The compound of five truncated tetrahedra is a uniform polyhedron compound. It's composed of 5 truncated tetrahedra rotated around a common axis. It may...

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Deltahedron

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no 18-faced strictly convex deltahedron. However, the edge-contracted icosahedron gives an example of an octadecahedron that can either be made strictly...

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List of Wenninger polyhedron models

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36 24 6{4} + 8{6} 8 Truncated hexahedron triakis octahedron 2 3|4 3.8.8 Oh U09 K14 24 36 14 8{3} + 6{8} 9 Truncated icosahedron pentakis dodecahedron...

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Dice

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zodiac signs, and the third represents the 12 houses. A specialized icosahedron die provides the answers of the Magic 8 Ball, conventionally used to...

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Kleetope

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solids: The triakis tetrahedron is the Kleetope of a tetrahedron, the triakis octahedron is the Kleetope of an octahedron, and the triakis icosahedron is the...

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Cube

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and eight triangular ones. In particular we can get regular octagons (truncated cube). The rhombicuboctahedron is obtained by cutting off both corners...

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Catalan solid

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Catalan solid with genuine tetrahedral symmetry is the triakis tetrahedron (dual of the truncated tetrahedron). The rhombic dodecahedron and tetrakis hexahedron...

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Polytope compound

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(compound of icosahedron and great dodecahedron) and the great complex icosidodecahedron (compound of small stellated dodecahedron and great icosahedron). If...

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Ideal polyhedron

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include the rhombic dodecahedron and the triakis tetrahedron. Removing certain triples of vertices from the triakis tetrahedron separates the remaining vertices...

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Tetrahedral symmetry

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(S2) 8 × rotoreflection by 60° (S6) 3 × reflection in a plane (Cs) The Icosahedron colored as a snub tetrahedron has chiral symmetry. Octahedral symmetry...

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