- In mathematics, a
prototile is one of the
shapes of a tile in a tessellation. A
tessellation of the
plane or of any
other space is a
cover of the space...
-
problem asks
about the
existence of a
single prototile that by
itself forms an
aperiodic set of
prototiles; that is, a
shape that can
tessellate space...
- tile
shapes that
cannot form a
repeating pattern (an
aperiodic set of
prototiles). A
tessellation of space, also
known as a
space filling or honeycomb...
- only a
finite number of shapes.
These shapes are
called prototiles, and a set of
prototiles is said to
admit a
tiling or tile the
plane if
there is a...
- A set of
prototiles is
aperiodic if
copies of the
prototiles can be ****embled to
create tilings, such that all
possible tessellation patterns are non-periodic...
- 0.86603a^{3}.} The Schmitt–Conway–Danzer
biprism (also
called a SCD
prototile) is a
polyhedron topologically equivalent to the gyrobifastigium, but...
-
regular octagon. The Ammann–Beenker
tiling is a
nonperiodic tesselation of
prototiles that
feature prominent octagonal silver eightfold symmetry, that is the...
-
arbitrarily large periodic regions or patches. A set of tile-types (or
prototiles) is
aperiodic if
copies of
these tiles can form only non-periodic tilings...
- In geometry, an
Ammann A1
tiling is a
tiling from the 6
piece prototile set
shown on the right. They were
found in 1977 by
Robert Ammann.
Ammann was inspired...
- 5, 6, 7, 8, 9, and 13
allow parametric possibilities with
nonconvex prototiles.
Periodic tilings are
characterised by
their wallpaper group symmetry...
