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

symmetry axes. The trigonal trapezohedron has one 3-fold symmetry axis, perpendicular to three 2-fold symmetry axes. The tetragonal trapezohedron has one 4-fold...

3-zonohedron. It is a regular square prism in three orientations, and a trigonal trapezohedron in four orientations. The cube is dual to the octahedron. It has...

faces. There are three special case geometries of the diminished trigonal trapezohedron. The simplest is a diminished cube. The Chestahedron, named after...

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

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

Rectangular cuboid (three pairs of rectangles) Trigonal trapezohedron (congruent rhombi) Trigonal trapezohedron (congruent quadrilaterals) Quadrilateral frustum...

rectangular faces. The parallelepiped with D3d symmetry is known as a trigonal trapezohedron, which has six congruent rhombic faces (also called an isohedral...

faces Isohedral Isohedral golden rhombi 2-isohedral 3-isohedral Trigonal trapezohedron Rhombic dodecahedron Rhombic triacontahedron Rhombic icosahedron...

Symmetry group Cube 6 congruent squares Oh, [4,3], (*432) order 48 Trigonal trapezohedron 6 congruent rhombi D3d, [2+,6], (2*3) order 12 Rectangular cuboid...

constructed by truncating two opposite vertices of a cube, of a trigonal trapezohedron (a convex polyhedron with six congruent rhombus sides, formed by...

Triangular prism Hexahedron Parallelepiped, Cuboid, Rhombohedron, Trigonal trapezohedron, Cube, Pentagonal pyramid, Triangular dipyramid, quadrilateral frustum...

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

D2, [2,2]+, (222) 24 4 4 4 6 V34 Platonic cube trigonal trapezohedron asymmetric trigonal trapezohedron Oh, [4,3], (*432) D3d, [2+,6] (2*3) D3 [2,3]+,...

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

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

has rhombohedral cells, with 6 congruent rhombic faces forming a trigonal trapezohedron[citation needed]: Lists of shapes More accurately, rhomboid is a...

now called isotoxal figures which he used in planar tilings. The trigonal trapezohedron, a topological cube with congruent rhombic faces, would also qualify...

diagrams: and . With D3d symmetry, it can be seen as an elongated trigonal trapezohedron. Other symmetry constructions of the rhombic dodecahedron are also...

tet + 1 oct 10 15 7 1 × 33 3 × 34 3 × 35 0 × 36 C3v, [3] 4 3 12 Trigonal trapezohedron Augmentation 2 tets + 1 oct 12 18 8 2 × 33 0 × 34 6 × 35 0 × 36...

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

obscured faces. Examples: 3.3.3.3.3.3 Rhombic prism Wedge Trigonal trapezohedron Gyroelongated trigonal pyramid Triangulated monorectified tetrahedron Elongated...

the trigonal trapezohedral honeycomb is a uniform space-filling tessellation (or honeycomb) in Euclidean 3-space. Cells are identical trigonal trapezohedra...

rhombic dodecahedron Truncated trapezohedron Truncated triakis tetrahedron Tridyakis icosahedron Trigonal trapezohedron Regular skew polyhedron Waterman...

in a set of uniform compound of two antiprisms. A facetting of a trigonal trapezohedron creates a compound of two right triangular pyramids with a triangular...

Cubic Unit cell Parallelepiped Rectangular cuboid Square cuboid Trigonal trapezohedron Cube Point group Order Rotation subgroup [ ], (*) Order 2 [ ]+,...

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

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

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

3*)], represented by Coxeter diagrams an index 6 subgroup with a trigonal trapezohedron fundamental domain ↔ , which can be extended by restoring one mirror...