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

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...

In geometry, a pentagonal trapezohedron is the third in the infinite family of trapezohedra, face-transitive polyhedra. Its dual polyhedron is the pentagonal...

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

constructed by taking a tetragonal trapezohedron and truncating the polar axis vertices. The kite faces of the trapezohedron become pentagons. The vertices...

a special type of parallelepiped called a trigonal trapezohedron. An orientation of the tetragonal disphenoid honeycomb can be obtained by starting with...

equilateral triangle faces where each tetrahedron vertex was truncated. Tetragonal trapezohedron: The eight faces are congruent kites. Gyrobifastigium: Two uniform...

fish-shaped self-intersecting equilateral pentagonal faces. A tetartoid (also tetragonal pentagonal dodecahedron, pentagon-tritetrahedron, and tetrahedric pentagon...

tetrahemihexahedron Octahedron Hexagonal prism, Truncated tetrahedron, Tetragonal trapezohedron Enneahedron Octagonal pyramid, Heptagonal prism Decahedron Octagonal...

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

triangular bipyramid Trapezohedron A polyhedron with 2n kite faces around an axis, with half offsets tetragonal trapezohedron Cone Tapers smoothly from...

gyrobicupola (J29): 8 triangles, 10 squares. Its dual is the elongated tetragonal trapezohedron D5d [2+,10] 2*5 Pentagonal gyrobicupola (J31): 10 triangles, 10...

8], (2*4), order 16 Rotation group D4, [4,2]+, (442), order 8 References U77(b) Dual Tetragonal trapezohedron Properties convex Vertex figure 3.3.3.4...

deltoidal icositetrahedron (or trapezoidal icositetrahedron, tetragonal icosikaitetrahedron, tetragonal trisoctahedron, strombic icositetrahedron) is a Catalan...

crystal forms include trapezohedron, truncated trapezohedron with cubic faces, and more rarely either as a truncated trapezohedron, or the crystals can...

generation of meshes of specific small configurations, such as the tetragonal trapezohedron. Because of the difficulty of this problem, the existence of combinatorial...

expanded Triangular prism or triangular bipyramid Square antiprism or tetragonal trapezohedron Cuboctahedron or rhombic dodecahedron Icosidodecahedron or rhombic...

Trigonal trapezohedron Cube Right rhombic prism Bravais lattice Primitive Triclinic Primitive Monoclinic Primitive Orthorhombic Primitive Tetragonal Primitive...

tetrahedron tetragonal disphenoid rhombic disphenoid Td, [3,3], (*332) D2d, [2+,2], (2*) D2, [2,2]+, (222) 24 4 4 4 6 V34 Platonic cube trigonal trapezohedron asymmetric...

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...

10], (2*5), order 20 Rotation group D5, [5,2]+, (522), order 10 References U77(c) Dual Pentagonal trapezohedron Properties convex Vertex figure 3.3.3.5...

12], (2*6), order 24 Rotation group D6, [6,2]+, (622), order 12 References U77(d) Dual Hexagonal trapezohedron Properties convex Vertex figure 3.3.3.6...

concave bipyramid has a concave polygon base, and one example is a concave tetragonal bipyramid or an irregular concave octahedron. A bipyramid with an arbitrary...

Truncated octahedrille (Bitruncated cubic honeycomb) Tetragonal disphenoid Oblate tetrahedrille Tetragonal disphenoid J17 A18 W13 G25 t0,1,2δ4 nc [4,3,4] n-tCO-trille...

the dodecahedral crystal habit, but are also commonly found in the trapezohedron habit as well as the hexoctahedral habit. They crystallize in the cubic...