View source for Helix

{{Infobox polytope
| rank = 2
| dim = 3
| type = [[Regular]]
| schlafli = <math>\{\infty\}\#\{n\}</math>
| stype = {{Schlink|inf|cat=yes}}
| verf = [[Line segment]], <math>2\sin\left(\frac{\pi(n-2)}{2n}\right)</math> < edge length < 2
| edges = <math>N</math>
| vertices = <math>N</math>
| flags = <math>2N</math>
| netcount = 1
| dual = '''Helix'''
| orientable = Yes
| convex = No
| orbits = 1
| dv = (1,1)
}}
A '''helix''' is a [[regular]] [[skew]] [[apeirotope|apeirogon]] in 3-dimensional [[Euclidean space]]. Helices can be constructed by [[Blending (skew polytopes)|blending]] a polygon with a planar [[apeirogon]].

== As a Petrie polygon ==
[[File:Muoctahedron Petrie polygon.png|380px|thumb|left|A triangular helix (highlighted in red) as the Petrie polygon of the [[muoctahedron]].]]
Helices appear as [[Petrie polygon]]s of several Euclidean [[honeycomb]]s, such as the [[cubic honeycomb]] and [[bitruncated cubic honeycomb]]. They also appear as Petrie polygons in the pure apeirohedra; the [[mucube]], the [[muoctahedron]], and the [[mutetrahedron]].

== As a facet ==
Helices appear as the [[facet]]s of several [[regular skew polyhedra]]. This includes the Petrials of the [[Petrial mucube|mucube]], [[Petrial muoctahedron|muoctahedron]], and [[Petrial mutetrahedron|mutetrahedron]], but also the [[trihelical square tiling]] and the [[tetrahelical triangular tiling]].

== Related polygons ==
=== Zigzags ===
The [[zigzag]] is a planar skew apeirogon which can be viewed as a [[digon]]al helix.

== External links ==
* {{Wikipedia|Infinite skew polygon}}

{{Regular polygon}}
[[Category:Nonconvex regular polygons|&infin;-{{PAGENAME}}]]
[[Category:Regular skew polygons in 3 dimensions]]