Editing Isogonal figure (section)

==Isogonal polygons and apeirogons==
{| class=wikitable align=right
|[[File:Uniform apeirogon.png|200px]]
|-
|[[File:isogonal_apeirogon_linear.png|200px]]
|-
!Isogonal [[apeirogon]]s
|-
|[[File:isogonal_apeirogon.png|200px]]
|-
|[[File:Isogonal_apeirogon2.png|200px]]
|-
|[[File:Isogonal_apeirogon2a.png|200px]]
|-
|[[File:Isogonal_apeirogon2b.png|200px]]
|-
|[[File:Isogonal_apeirogon2c.png|200px]]
|-
|[[File:Isogonal_apeirogon2d.png|200px]]
|-
!Isogonal [[skew apeirogon]]s
|}
All [[regular polygons]], [[apeirogon]]s and [[regular star polygon]]s are ''isogonal''. The [[Dual polygon|dual]] of an isogonal polygon is an [[isotoxal polygon]].

Some even-sided polygons and [[apeirogon]]s which alternate two edge lengths, for example a [[rectangle]], are ''isogonal''.

All planar isogonal 2''n''-gons have [[dihedral symmetry]] (D<sub>''n''</sub>, ''n''&thinsp;=&thinsp;2,&thinsp;3,&thinsp;...) with reflection lines across the mid-edge points.
{| class=wikitable width=560
!D<sub>2</sub>
!D<sub>3</sub>
!D<sub>4</sub>
!D<sub>7</sub>
|-
|[[File:Crossed rectangles.png|200px]]<BR>Isogonal [[rectangle]]s and [[crossed rectangle]]s sharing the same [[vertex arrangement]]
|[[File:Regular truncation 3 0.75.svg|120px]]<BR>Isogonal [[hexagram#Other hexagrams|hexagram]] with 6 identical vertices and 2 edge lengths.<ref>Coxeter, The Densities of the Regular Polytopes II, p54-55, "hexagram" vertex figure of h{5/2,5}.</ref>
|[[File:Vertex-transitive-octagon.svg|140px]]<BR>Isogonal convex [[octagon]] with blue and red radial lines of reflection
|[[File:Regular polygon truncation 7 3.svg|150px]]<BR>Isogonal "star" [[tetradecagon]] with one vertex type, and two edge types<ref>''The Lighter Side of Mathematics: Proceedings of the Eugène Strens Memorial Conference on Recreational Mathematics and its History'', (1994), ''Metamorphoses of polygons'', [[Branko Grünbaum]], Figure 1. Parameter ''t''=2.0</ref>
|}
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