- In geometry, a
shape is said to be
anisohedral if it
admits a tiling, but no such
tiling is
isohedral (tile-transitive); that is, in any
tiling by that...
- this
polyhedron is isohedral. Such
anisohedral tiles were
found by Karl
Reinhardt in 1928, but
these anisohedral tiles all tile
space periodically. In...
- no such
tiling is isohedral, then the
prototile is
called anisohedral and
forms anisohedral tilings. A
regular tessellation is a
highly symmetric, edge-to-edge...
-
admit an
isohedral (tile-transitive) tiling. Such
tiles are now
known as
anisohedral. In
asking the
problem in
three dimensions,
Hilbert was
probably ****uming...
-
Ludwig Bieberbach) 1910 (b) Is
there a
polyhedron that
admits only an
anisohedral tiling in
three dimensions? Resolved. Result: Yes (by Karl Reinhardt)...
- 8F: 215–218 (1960), MR 0125489 Sakano, Yudai; Akama,
Yohji (2015), "
Anisohedral spherical triangles and
classification of
spherical tilings by congruent...
- 4-dimensional
figure is isochoric, i.e. cell-transitive. Edge-transitive
Anisohedral tiling McLean, K.
Robin (1990), "Dungeons, dragons, and dice", The Mathematical...
-
hexagonal tiling, parallelogon, §9.2 non-convex
polygon tilings, §9.3
anisohedral tiling, §9.4 polyomino, heptomino, polyiamond, polyhex, §9.5 Voderberg...
-
tiling Euclidean 3-space, such that no
tiling by it is
isohedral (an
anisohedral tile). The
problem as
stated was
solved by Karl
Reinhardt in 1928, but...
