{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# The E-module in Tetravolumes\n", "#### by D. Koski & K. Urner, June 2018\n", "\n", "The E-module has long been a standard module, starting with Synergetics and persisting through the writings and research of several students of polyhedral dissections.\n", "\n", "The E is 1/120th of the Rhombic Triacontahedron with:\n", "\n", "* radius = 1 (from center to surface face center)\n", "* surface face diagonals of 1/Ø and (1/Ø)(1/Ø)\n", "\n", "In Synergetics, our unit of volume is the regular tetrahedron of edges D, where D is the diameter of a CCP sphere in densest packing, with twelve-around-one at any interior vertex or node. D may be set at 1 or 2, in which case R (radius) will be 0.5 or 1 respectively.\n", "\n", "\n", "\n", "