# Twisted Pyramid

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A regular pyramid is the result of connecting a regular polygon with an apex point directly above the center of the polygon. If you twist a regular pyramid, its lateral faces are no longer triangles but curved surfaces.

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Contributed by: Erik Mahieu (March 2015)

Open content licensed under CC BY-NC-SA

## Snapshots

## Details

A regular -gon has polar equation , where is the radius of the circumcircle, is the number of sides, is the angular offset, and is the polar angle.

Based on this, a regular -gonal prism has the parametric equation , with parameters and .

To get an -gonal pyramid, replace the circumradius in by , where is the height of the pyramid.

To twist the pyramid, replace the angular offset by , where is the total axial twist over the height of the pyramid.

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