A Zonohedron with 3540 Faces, Together with Its Dual

Zonohedrified Poly 3540 faces

Zonohedra are polyhedra made completely of faces which are zonogons. A zonogon is a polygon which:

  • Has an even number of sides,
  • Has opposite sides congruent, and
  • Has opposite sides parallel.

Parallelograms are the simplest zonogons.

Here is the dual of the zonohedron above; it has 3542 faces. Although zonohedra-duals do have distinctive appearances, they do not, as a class, have a name of their own, to the best of my knowledge. They are definitely not zonohedra, themselves.

Zonohedrified Poly 3540 faces dual with 3542 faces

Both of these polyhedra were created with Stella 4d, software you may try for yourself, right here.

About RobertLovesPi

I go by RobertLovesPi on-line, and am interested in many things. The majority of these things 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 A Zonohedron with 3540 Faces, Together with Its Dual

  1. Kathryn McAuley says:

    Far out and way groovy

    Liked by 1 person

  2. Zen says:

    The colors, the patterns, the movement – like so often, a spherical mandala for soothe-needy eyes 😍

    Liked by 1 person

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