In geometry, the truncated triangular trapezohedron is the first in an infinite series of truncated trapezohedra. It has 6 pentagon and 2 triangle faces...

geometry, an n-gonal truncated trapezohedron is a polyhedron formed by a n-gonal trapezohedron with n-gonal pyramids truncated from its two polar axis...

In geometry, the square truncated trapezohedron is the second in an infinite series of truncated trapezohedra. It has 8 pentagon and 2 square faces. This...

generally presumed to be a truncated triangular trapezohedron, a trigonal trapezohedron with two opposite vertices truncated, although its precise shape...

two equilateral triangle faces. Truncated triangular trapezohedron, also called Dürer's solid: Obtained by truncating two opposite corners of a cube or...

geometry, the truncated cube, or truncated hexahedron, is an Archimedean solid. It has 14 regular faces (6 octagonal and 8 triangular), 36 edges, and...

In geometry, an n-gonal trapezohedron, n-trapezohedron, n-antidipyramid, n-antibipyramid, or n-deltohedron, is the dual polyhedron of an n-gonal antiprism...

face-transitive and the dual of hexagonal prism. Hexagonal trapezohedron: a trapezohedron with twelve kites. It is face-transitive, the dual of hexagonal...

triangular prism Truncated rhombic dodecahedron Truncated trapezohedron Truncated triakis tetrahedron Tridyakis icosahedron Trigonal trapezohedron Regular skew...

dual polyhedron of the gyroelongated square bipyramid is a square truncated trapezohedron with eight pentagons and two squares as its faces. The gyroelongated...

trigonal trapezohedron fundamental domain, and Coxeter diagram . This lower symmetry can be extended by restoring one mirror as . The truncated cubic-octahedral...

triangular prism Truncated rhombic dodecahedron Truncated trapezohedron Truncated triakis tetrahedron Tridyakis icosahedron Trigonal trapezohedron Regular skew...

regular dodecahedron is a truncated trapezohedron because it is the result of truncating axial vertices of a pentagonal trapezohedron. It is also a Goldberg...

sets of 10 sides = 20). 10-sided trapezohedron (2 sets of 10 sides = 20). Several Johnson solids are icosahedra: Truncated icosahedron 600-cell Icosoku Icosahedral...

engraving Melencolia I depicts a frustrated thinker sitting by a truncated triangular trapezohedron and a magic square. These two objects, and the engraving as...

Albrecht Dürer's 1514 engraving Melencolia, with a truncated triangular trapezohedron and a magic square...

antiprism) (12 equilateral triangles and 2 trapezoids) Hexagonal truncated trapezohedron: (12 pentagons, 2 hexagons) Includes an optimal space-filling shape...

only other common non-cubical die is the 10-sided die, a pentagonal trapezohedron die, whose faces are ten kites, each with two different edge lengths...

k5A5 (A special gyroelongated dipyramid) D = t5dA5 (A special truncated trapezohedron) The regular Euclidean tilings can also be used as seeds: Q = Quadrille...

Hexagonal antiprism, Gyroelongated hexagonal pyramid Triangular cupola Truncated tetrahedron Truncated octahedron 4.4.4.4 Square icositetrahedron (Cube)...

pairs of triangles merged into rhombi, it can be seen as a trigonal trapezohedron. The other members can be constructed with isosceles triangles. Pentagonal...

vertices truncated, although Dürer's depiction of it is not in this form but rather as a truncated rhombohedron or truncated triangular trapezohedron. The...

diminished trapezohedron is a polyhedron in an infinite set of polyhedra, constructed by removing one of the polar vertices of a trapezohedron and replacing...

that is sort of a weld between half of an n-sided trapezohedron and a 2n-sided pyramid. The triangular, square, and pentagonal cupolae are the only non-trivial...

constructed by [(4,3,4,3*)], and represents a trigonal trapezohedron fundamental domain. The truncated forms (57 and 58) contain the faces of two regular...

sequence truncated, tdt{2,6} and alternated (snubbed), sdt{2,6}: The hexagonal bipyramid, dt{2,6}, can be in sequence rectified, rdt{2,6}, truncated, trdt{2...

honeycomb, constructed from hexagonal tiling, cube, and truncated octahedron cells, in a triangular antiprism vertex figure. It has a Coxeter diagram . A...

MR 1368518 Kolpakov, Alexander; Murakami, Jun (2013), "Volume of a doubly truncated hyperbolic tetrahedron", Aequationes Mathematicae, 85 (3): 449–463, arXiv:1203...

tetrahedra each, the 600-cell is obtained. The pentagonal antiprism can be truncated and alternated to form a snub antiprism: A crossed pentagonal antiprism...

flattened triangular tiling with half of the triangles removed as holes. It is dual to the truncated cubic honeycomb with octahedral and truncated cubic cells:...