- 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...
-
single main axis of symmetry.
These include the pyramids, bipyramids,
trapezohedra, cupolae, as well as the
semiregular prisms and antiprisms.
Regular polyhedra...
- Set of n-gonal
truncated trapezohedra Example:
pentagonal truncated trapezohedron (regular dodecahedron)
Faces 2 n-sided polygons, 2n
pentagons Edges 6n...
-
Pentagonal trapezohedron Type
trapezohedra Conway dA5
Coxeter diagram Faces 10
kites Edges 20
Vertices 12 Face
configuration V5.3.3.3
Symmetry group D5d...
- 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...
-
antiprisms are
generally not
considered Archimedean solids,
bipyramids and
trapezohedra are
generally not
considered Catalan solids,
despite being face-transitive...
-
Family of n-gonal
trapezohedra Trapezohedron name
Digonal trapezohedron (Tetrahedron)
Trigonal trapezohedron Tetragonal trapezohedron Pentagonal trapezohedron...
- and
tilings appear twice,
under two
different face configurations. The
trapezohedra are
another family of
polyhedra that have
congruent kite-shaped faces...
-
solids are
called the
Catalan solids.
Together with the
bipyramids and
trapezohedra,
these are the face-uniform
solids with
regular vertices. The snub cube...
