Editing Regular polygon (section)

=={{anchor|Skew regular polygons}}Regular skew polygons==
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|[[File:Cube petrie polygon sideview.svg|160px]]<br>The [[cube]] contains a skew regular [[hexagon]], seen as 6 red edges zig-zagging between two planes perpendicular to the cube's diagonal axis.
|[[File:Antiprism17.jpg|240px]]<br>The zig-zagging side edges of a ''n''-[[antiprism]] represent a regular skew 2''n''-gon, as shown in this 17-gonal antiprism.
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A ''regular [[skew polygon]]'' in 3-space can be seen as nonplanar paths zig-zagging between two parallel planes, defined as the side-edges of a uniform [[antiprism]]. All edges and internal angles are equal.
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|[[File:Petrie polygons.png|480px]]<br>The [[Platonic solid]]s (the [[tetrahedron]], [[cube]], [[octahedron]], [[dodecahedron]], and [[icosahedron]]) have Petrie polygons, seen in red here, with sides 4, 6, 6, 10, and 10 respectively.
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More generally ''regular skew polygons'' can be defined in ''n''-space. Examples include the [[Petrie polygon]]s, polygonal paths of edges that divide a [[regular polytope]] into two halves, and seen as a regular polygon in orthogonal projection.

In the infinite limit ''regular skew polygons'' become skew [[apeirogon]]s.
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