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| Describe interact/geometry here. | = Sage Interactions - Geometry = goto [[interact|interact main page]] <<TableOfContents>> == Intersecting tetrahedral reflections == by Marshall Hampton. Inspired by a question from Hans Schepker of Glass Geometry. {{{ p1 = Polyhedron(vertices = [[1,1,1],[1,1,0],[0,1,1],[1,0,1]]) p2 = Polyhedron(vertices = [[1/3,1/3,1/3],[1,1,0],[0,1,1],[1,0,1]]) p12 = p1.union(p2) p3 = Polyhedron(vertices = [[0,0,1],[0,0,0],[0,1,1],[1,0,1]]) p4 = Polyhedron(vertices = [[2/3,2/3,1/3],[0,0,0],[0,1,1],[1,0,1]]) p34 = p3.union(p4) p5 = Polyhedron(vertices = [[1,0,0],[1,0,1],[0,0,0],[1,1,0]]) p6 = Polyhedron(vertices = [[1/3,2/3,2/3],[1,0,1],[0,0,0],[1,1,0]]) p56 = p5.union(p6) p7 = Polyhedron(vertices = [[0,1,0],[0,0,0],[1,1,0],[0,1,1]]) p8 = Polyhedron(vertices = [[2/3,1/3,2/3],[0,0,0],[1,1,0],[0,1,1]]) p78 = p7.union(p8) pti = p12.intersection(p34).intersection(p56).intersection(p78) }}} |
Sage Interactions - Geometry
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Intersecting tetrahedral reflections
by Marshall Hampton. Inspired by a question from Hans Schepker of Glass Geometry.
p1 = Polyhedron(vertices = [[1,1,1],[1,1,0],[0,1,1],[1,0,1]]) p2 = Polyhedron(vertices = [[1/3,1/3,1/3],[1,1,0],[0,1,1],[1,0,1]]) p12 = p1.union(p2) p3 = Polyhedron(vertices = [[0,0,1],[0,0,0],[0,1,1],[1,0,1]]) p4 = Polyhedron(vertices = [[2/3,2/3,1/3],[0,0,0],[0,1,1],[1,0,1]]) p34 = p3.union(p4) p5 = Polyhedron(vertices = [[1,0,0],[1,0,1],[0,0,0],[1,1,0]]) p6 = Polyhedron(vertices = [[1/3,2/3,2/3],[1,0,1],[0,0,0],[1,1,0]]) p56 = p5.union(p6) p7 = Polyhedron(vertices = [[0,1,0],[0,0,0],[1,1,0],[0,1,1]]) p8 = Polyhedron(vertices = [[2/3,1/3,2/3],[0,0,0],[1,1,0],[0,1,1]]) p78 = p7.union(p8) pti = p12.intersection(p34).intersection(p56).intersection(p78)