In geometry, a hexagonal trapezohedron or deltohedron is the fourth in an infinite series of trapezohedra which are dual polyhedra to the antiprisms....

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

the truncated hexagonal trapezohedron is the fourth in an infinite series of truncated trapezohedra. It has 12 pentagon and 2 hexagon faces. It can be...

In geometry, a pentagonal trapezohedron is the third in an infinite series of face-transitive polyhedra which are dual polyhedra to the antiprisms. It...

Hexagonal bipyramid – 12 isosceles triangles, dual of hexagonal prism, D6h symmetry, order 24 Hexagonal trapezohedron – 12 kites, dual of hexagonal antiprism...

pentagonal trapezohedron or regular dodecahedron – 12 pentagonal faces, dual icosahedron Truncated hexagonal trapezohedron – 12 pentagons, 2 hexagons, dual...

In geometry, a tetragonal trapezohedron, or deltohedron, is the second in an infinite series of trapezohedra, which are dual to the antiprisms. It has...

In geometry, a trigonal trapezohedron is a polyhedron with six congruent quadrilateral faces, which may be scalene or rhomboid. The variety with rhombus-shaped...

A hexagonal bipyramid is a polyhedron formed from two hexagonal pyramids joined at their bases. The resulting solid has 12 triangular faces, 8 vertices...

represented by a trigonal trapezohedron fundamental domain, and a Coxeter diagram . The cyclotruncated octahedral-hexagonal tiling honeycomb is a compact...

semiregular polyhedron. A crossed hexagonal antiprism is a star polyhedron, topologically identical to the convex hexagonal antiprism with the same vertex...

Elongated square dipyramid, Metabidiminished icosahedron, Hexagonal bipyramid, Hexagonal trapezohedron, Triakis tetrahedron, Rhombic dodecahedron, Hendecagonal...

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

tetrahedron can be seen as a degenerate polyhedron, a uniform dual digonal trapezohedron, containing 6 vertices, in two sets of colinear edges. A truncation...

(Th). The second is a form of truncated hexagonal trapezohedron, a species of tetrakaidecahedron with two hexagonal and twelve pentagonal faces, in this...

Gyroelongated square dipyramid Heronian tetrahedron Hexagonal bifrustum Hexagonal truncated trapezohedron Hill tetrahedron Holyhedron Infinite skew polyhedron...

an envelope in the shape of a hexagonal prism. Six cells project onto rhombic prisms, which are laid out in the hexagonal prism in a way analogous to how...

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

be constructed with [(4,3,4,3*)] symmetry, represented by a trigonal trapezohedron fundamental domain, and Coxeter diagram . This lower symmetry can be...

triangular bipyramid Edge-contracted icosahedron Hexagonal prism Hexagonal antiprism, Gyroelongated hexagonal pyramid Triangular cupola Truncated tetrahedron...

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

trapezohedron and a 2n-sided pyramid. The above-mentioned three polyhedra are the only non-trivial convex cupolae with regular faces: The "hexagonal cupola"...

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

(a fullerene with 20 vertices) and the graph of the truncated hexagonal trapezohedron (a 24-vertex fullerene), which are the two types of cells in the...

become regular hexagons, and there are four more equilateral triangle faces where each tetrahedron vertex was truncated. Tetragonal trapezohedron: The eight...

quadrilaterals. The dual polyhedron of an n-gonal antiprism is an n-gonal trapezohedron. In his 1619 book Harmonices Mundi, Johannes Kepler observed the existence...

families including the pyramids, bipyramids, prisms, antiprisms, and trapezohedrons. Notes: Polyhedra with different names that are topologically identical...

honeycomb with each rhombic dodecahedron dissected into 4 trigonal trapezohedrons. Each rhombic dodecahedra can also be dissected with a center point...

compounds. 20-fullerene (dodecahedral graph) 24-fullerene (Hexagonal truncated trapezohedron graph) 26-fullerene graph 60-fullerene (truncated icosahedral...

Oblique rectangular prism Rectangular cuboid Square cuboid Trigonal trapezohedron Cube Right rhombic prism Bravais lattice Primitive Triclinic Primitive...