The {5/2}, {5,2} Duoprism

This is a projection of a rotating duoprism, a four-dimensional figure, with bases which are all star pentagons. This polytope’s faces include ten of these pentagrams, and twenty-five squares. Its three-dimensional cells are ten pentagrammic prisms. I made it using Stella 4d, a program which you can try, for free, at Here is this duoprism’s three-dimensional net.

A Faceted Icosidodecahedron with 48 Faces

Faceted Icosidodeca golden rectangles dodecagons and star pentagons

The 48 faces of this faceted icosidodecahedron are:

  • 6 green regular decagons (difficult to see, because they pass through the figure’s center)
  • 30 golden rectangles, shown in yellow, and each interpenetrating other faces
  • 12 blue star pentagons

Software called Stella 4d was used to make this, and it is available (with a free trial download available) at this website.