- In geometry, a Schläfli
orthoscheme is a type of simplex. The
orthoscheme is the
generalization of the
right triangle to
simplex figures of any number...
- an
orthoscheme are also
orthoschemes (just as the
elements of a
regular simplex are also
regular simplexes). Each
tetrahedral cell of a 4-
orthoscheme is...
- tessellation. Some
tetrahedra that are not regular,
including the Schläfli
orthoscheme and the Hill tetrahedron, can tessellate.
Given that the
regular tetrahedron...
-
facets of its
orthoscheme. The
orthoscheme occurs in two
chiral forms which are
mirror images of each other. The
characteristic orthoscheme of a regular...
-
characteristic k-
orthoscheme, and also a
characteristic (k-1)-
orthoscheme. A
regular 4-polytope has a
characteristic 5-cell (4-
orthoscheme) into
which it...
- mathematics: Can
every simplex be
dissected into a
bounded number of
orthoschemes? (more
unsolved problems in mathematics) In geometry, it is an unsolved...
-
Euclidean simplex in
terms of its
dihedral angles, and the Schläfli
orthoscheme, a
special simplex with a path of right-angled dihedrals, come from Schläfli's...
- turns), the
characteristic feature of a 4-
orthoscheme. The 4-
orthoscheme has five
dissimilar 3-
orthoscheme facets. The
reflecting surface of a (3-dimensional)...
- turns), the
characteristic feature of a 4-
orthoscheme. The 4-
orthoscheme has five
dissimilar 3-
orthoscheme facets. The
reflecting surface of a (3-dimensional)...
-
necessary to
contain the
original Hadwiger's
conjecture on
dissection into
orthoschemes Hadwiger–Nelson
problem on the
chromatic number of unit
distance graphs...
