Polyhedron Featuring 242 Faces

Polyhedron Featuring 242 Faces

The 242 faces are:

  • sixty irregular heptagons
  • sixty rectangles
  • sixty isosceles trapezoids
  • thirty irregular octagons
  • twenty hexagons which are equiangular but not quite equilateral
  • twelve regular pentagons

Created using Stella 4d, available at http://www.software3d.com/Stella.php.

About RobertLovesPi

I go by RobertLovesPi on-line, and am interested in many things, a large portion of which are geometrical. Welcome to my little slice of the Internet. The viewpoints and opinions expressed on this website are my own. They should not be confused with the views of my employer, nor any other organization, nor institution, of any kind.
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2 Responses to Polyhedron Featuring 242 Faces

  1. Dave Smith says:

    Robert – you seem to have made some complex models using a lot of peculiar shapes and yet the 4pentagon/4trapezoid solid was problematic? Please explain.


    • In this particular case, if I recall correctly, I used a lot of augmentation and the creation of convex hulls to produce this polyhedron. The 4 pentagon / 4 trapezoid solid was difficult because Stella was not set up with it in mind — I think. Stella won’t allow you to simply input a net, and give you a polyhedron as output, but it does allow a great many different transformations to be made on a large number of possible starting polyhedra.


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