WOLFRAM|DEMONSTRATIONS PROJECT

Star Dipyramid

​
number of points
height of center
radius of point
sphere size
zoom
show other star
show pole
Consider an
n
-pointed star. Elevate the center of the star polygon above and below the plane of the star to form a star dipyramid. Make two intersecting star dipyramids by rotating a copy of the original by 90 degrees. For
n=6
, such a star polyhedron is at the top of the spire of a Lutheran church in the village of Felpéc, Hungary. In the case
n=8
, such a star polyhedron can be seen at the top of some of the obelisks in Rome, for instance, in the Piazza San Pietro or in the Piazza del Popolo.