- In geometry, a
polytope (e.g. a
polygon or polyhedron) or a
tiling is
isogonal or vertex-transitive if all its
vertices are
equivalent under the symmetries...
-
Isogonal, a
mathematical term
meaning "having
similar angles", may
refer to:
Isogonal figure or polygon, polyhedron,
polytope or
tiling Isogonal trajectory...
- In geometry, the
isogonal conjugate of a
point P with
respect to a
triangle △ABC is
constructed by
reflecting the
lines PA, PB, PC
about the
angle bisectors...
-
called isogonal lines, will also have
interesting properties. For instance, if
three cevians of a
triangle intersect at a
point P, then
their isogonal lines...
-
equal (that is, if it is also equilateral) then it is a
regular polygon.
Isogonal polygons are
equiangular polygons which alternate two edge lengths. For...
- not lie on any of the
extended sides BC, CA, AB, and let P −1
denote the
isogonal conjugate of P. The
pedal triangle of P is
homothetic to the antipedal...
-
truncations of the
regular pentadecagon and
pentadecagrams can
produce isogonal (vertex-transitive)
intermediate star
polygon forms with
equal spaced vertices...
- vertex-transitive, i.e.
isogonal. The
Catalan solids, the bipyramids, and the
trapezohedra are all isohedral. They are the
duals of the (
isogonal)
Archimedean solids...
-
tilings are
isogonal and monohedral. A semi-regular (or Archimedean)
tessellation uses more than one type of
regular polygon in an
isogonal arrangement...
-
rhombicosidodecahedron is an
Archimedean solid, one of
thirteen convex isogonal nonprismatic solids constructed of two or more
types of
regular polygon...
