- In geometry, a
disphenoid (from Gr**** sphenoeides 'wedgelike') is a
tetrahedron whose four
faces are
congruent acute-angled triangles. It can also be described...
- In geometry, the snub
disphenoid is a
convex polyhedron with 12
equilateral triangles as its faces. It is an
example of
deltahedron and
Johnson solid....
- 3-orthoscheme is not a
disphenoid,
because its
opposite edges are not of
equal length. It is not
possible to
construct a
disphenoid with
right triangle or...
- The
tetragonal disphenoid tetrahedral honeycomb is a space-filling
tessellation (or honeycomb) in
Euclidean 3-space made up of
identical tetragonal disphenoidal...
- In geometry, the 5-cell is the
convex 4-polytope with Schläfli
symbol {3,3,3}. It is a 5-vertex four-dimensional
object bounded by five
tetrahedral cells...
- faces,
including the snub
disphenoid as a
deltahedron with all
equilateral triangles.
However the dual of the snub
disphenoid is not space-filling because...
-
called a
disphenoid tetrahedral honeycomb.
Although a
regular tetrahedron can not
tessellate space alone, this dual has
identical disphenoid tetrahedron...
- of the
triangular tiling, but
whereas 3D
Simplex uses the
tetragonal disphenoid honeycomb, 3D
OpenSimplex uses the tetrahedral-octahedral honeycomb. OpenSimplex...
- triangles, 5 squares, 1 pentagon, 1 decagon, C5v symmetry,
order 10 Snub
disphenoid – 12 triangles, D2d,
order 8
Elongated square dipyramid – 8 triangles...
-
triangular antiprisms) and two
kinds of
tetrahedra (tetragonal
disphenoids and
digonal disphenoids). The
vertex figure is an
octakis square cupola.
Vertex figure...
