- are
equilateral triangles.
Twisted trigonal, tetragonal, and
hexagonal trapezohedra (with six, eight, and
twelve twisted congruent kite faces)
exist as crystals;...
-
identical rhombic faces can
construct two
configurations of
trigonal trapezohedra. The
acute or
prolate form has
three acute angle corners of the rhombic...
- } The
duals of the
prismatic compound of
antiprisms are
compounds of
trapezohedra: For
compounds of
three digonal antiprisms, they are
rotated 60 degrees...
- Set of n-gonal
truncated trapezohedra Example:
pentagonal truncated trapezohedron (regular dodecahedron)
Faces 2 n-sided polygons, 2n
pentagons Edges 6n...
-
tessellation (or honeycomb) in
Euclidean 3-space.
Cells are
identical trigonal trapezohedra or rhombohedra. Conway, Burgiel, and Goodman-Strauss call it an oblate...
- vertex-transitive, i.e. isogonal. The
Catalan solids, the bipyramids, and the
trapezohedra are all isohedral. They are the
duals of the (isogonal)
Archimedean solids...
- trapezohedron, or deltohedron, is the
second in an
infinite series of
trapezohedra,
which are dual to the antiprisms. It has
eight faces,
which are congruent...
-
Pentagonal trapezohedron Type
trapezohedra Conway dA5
Coxeter diagram Faces 10
kites Edges 20
Vertices 12 Face
configuration V5.3.3.3
Symmetry group D5d...
-
triangular trapezohedron is the
first in an
infinite series of
truncated trapezohedra. It has 6
pentagon and 2
triangle faces. This
polyhedron can be constructed...
- the
duals of the 13
Archimedean solids: 12, 24, 30, 48, 60, 120
sides Trapezohedra, the
duals of the
infinite set of antiprisms, with kite faces: any even...