- some m < k). ("1-isohedral" is the same as "isohedral".) A
monohedral polyhedron or
monohedral tiling (m = 1) has
congruent faces,
either directly or reflectively...
- A
monohedral tiling is a
tessellation in
which all
tiles are congruent; it has only one prototile. A
particularly interesting type of
monohedral tessellation...
- dodecahedron.
Fifteen types of
convex pentagons are
known to tile the
plane monohedrally (i.e. with one type of tile). The most
recent one was
discovered in 2015...
-
topologically identical to the
hexagonal tiling.)
There are 3
types of
monohedral convex hexagonal tilings. They are all isohedral. Each has parametric...
- the
number of
prototiles is well defined. A
tessellation is said to be
monohedral if it has
exactly one prototile. A set of
prototiles is said to be aperiodic...
- {\frac {\pi }{15}}} is
expressible in
terms of
square roots.
There are 15
monohedral convex pentagonal tilings, with
eight being edge-to-edge.
There are 15...
- made by
regular polygons.
There are 15
classes of
pentagons that can
monohedrally tile the plane. None of the
pentagons have any
symmetry in general, although...
-
Regular polygons Sides Basic polygon (monoform)
Monohedral tessellation Polyform Applications 3
equilateral triangle Deltille Polyiamonds: moniamond, diamond...
-
tiling is
called a
monohedral tiling, and the
shape of the
tiles is
called the
prototile of the tiling. The
binary tilings are
monohedral tilings of the hyperbolic...
- ****ng, covering,
toplogical disk, §1.2 prototile,
regular tiling,
monohedral tiling, k-isohedral
tiling (face-transitive), §1.3 symmetry, isometry...
