Helix

A helix is a regular skew apeirogon in 3-dimensional Euclidean space.

As a Petrie polygon
Helices appear as Petrie polygons of several polyhedra, in particular in Euclidean honeycombs, 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 facets of several regular skew polyhedra. This includes the Petrials of the mucube, muoctahedron, and mutetrahedron, but also the trihelical square tiling and the tetrahelical triangular tiling.

Zigzags
The zigzag is a planar skew apeirogon which can be viewed as a digonal helix.