Editing Antiprism (section)

===Cartesian coordinates===
[[Cartesian coordinates]] for the vertices of a [[#Right antiprism|right]] {{mvar|n}}-antiprism (i.e. with regular {{mvar|n}}-gon bases and {{math|2''n''}} isosceles triangle side faces, circumradius of the bases equal to 1) are:
:<math>\left( \cos\frac{k\pi}{n}, \sin\frac{k\pi}{n}, (-1)^k h \right)</math>

where {{math|0 ≤ ''k'' ≤ 2''n'' – 1}};

if the {{mvar|n}}-antiprism is uniform (i.e. if the triangles are equilateral), then:
<math display=block>2h^2 = \cos\frac{\pi}{n} - \cos\frac{2\pi}{n}.</math>