- geometry, a
polytope (for example, a
polygon or a polyhedron) or a
tiling is
isotoxal (from Gr**** τόξον 'arc') or edge-transitive if its
symmetries act transitively...
-
intersecting edges that do not
generate new vertices, and the
other one to the
isotoxal concave simple polygons.
Polygrams include polygons like the pentagram...
- Cnv, of
order 2n. An
isotoxal right (symmetric) di-n-gonal
bipyramid is a
right (symmetric) 2n-gonal
bipyramid with an
isotoxal flat
polygon base: its...
- (face-transitive) and
isotoxal (edge-transitive); this
implies that
every face is the same kind of
regular polygon. Quasi-regular if it is also
isotoxal (edge-transitive)...
- by
seven mirrors which can
alternate long and
short edges, and p14, an
isotoxal tetradecagon,
constructed with
equal edge lengths, but
vertices alternating...
- 2{6} 3{4} 4{3} 6{2} An
isotoxal polygon has two
vertices and one edge type
within its
symmetry class.
There are 5
isotoxal dodecagram star with a degree...
- the
decorative motifs in
girih tiles. An
isotoxal polygon has two
vertices and one edge.
There are
isotoxal decagram forms,
which alternates vertices...
- and vice versa. The dual of an
isotoxal polyhedron (one in
which any two
edges are
equivalent [...]) is also
isotoxal.
Duality is
closely related to polar...
- (i.e. isogonal,
isotoxal, and isohedral). A form that is isohedral, has
regular vertices, and is also edge-transitive (i.e.
isotoxal) is said to be a...
- "uniform" tiling. Also, the
outlines of
certain non-regular
isotoxal star
polygons are
nonconvex isotoxal (simple)
polygons with as many (shorter)
sides and alternating...
