- 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...
- 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....
- The
tetragonal disphenoid tetrahedral honeycomb is a space-filling
tessellation (or honeycomb) in
Euclidean 3-space made up of
identical tetragonal disphenoidal...
- faces,
including the snub
disphenoid as a
deltahedron with all
equilateral triangles.
However the dual of the snub
disphenoid is not space-filling because...
- 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...
-
called a
disphenoid tetrahedral honeycomb.
Although a
regular tetrahedron can not
tessellate space alone, this dual has
identical disphenoid tetrahedron...
- The (red) side
edges of
tetragonal disphenoid represent a
regular zig-zag skew quadrilateral...
-
icosahedron Johnson solids:
triangular bipyramid,
pentagonal bipyramid, snub
disphenoid,
triaugmented triangular prism,
gyroelongated square dipyramid Catalan...
- triangles, 5 squares, 1 pentagon, 1 decagon, C5v symmetry,
order 10 Snub
disphenoid – 12 triangles, D2d,
order 8
Elongated square dipyramid – 8 triangles...
