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Imagine, Geometry -- inside haptihedron, QTVRs

{Wholeo Online} ~ {Trips} ~ {Imagine} ~ {Geometry} ~ {Haptihedron}

These pages are to give flight to your imagination.

haptihedron Two tetrahedrons form a cube. The cube expands into a haptihedron. Sometimes I call it a movey. These are my pet names for the uniform polyhedron technically called a rhombicuboctahedron. This is a form I envisioned and investigated intensively. (See the story in Light Body.) So far, I haven't found references to it elsewhere. It is the inverse of the Vector Equilibrium (cubooctahedron), a form of great importance to Buckminster Fuller.

In terms of sacred geometry, this form is a transition to the dodecahedron and icoshedron. I'm focused on details of the transition. How can I picture the change? The haptihedron has six great circles arranged orthogonally around the three dimensions of a cube. That is x, y, and z axes or horizontal, vertical, and depth oriented. What makes one circle migrate to make a form with six axes? How does the process of change look from the inside?

Here are 2 QTVRs. 1. Haptihedron outline with three sets of opposing faces: red, yellow, and blue. These faces show the expanded cube. (That is the one on this page.) 2. Haptihedron with a circle ringing each side of a set of opposing faces: rings of orange, green, and purple. The cube has 3 circles. The haptihedron has 6 circles.

<a href="images/">[View QuickTime VR]</a>
See QuickTime for information and a listing of all the QTVRs here.
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© Caroling 1998, 2000 All rights reserved. Last Modified: Feb 17 2000