Curtis Palmer
As a teen I skimmed Plato enough to acquaint me with the icosahedron. In my 20's I made physical models with paper, glue, sticks and ties and candle hot, pin welded straws. In the 1980's I began to digitize icosahedra as test cases for a laser cutting operation. The 90's offered up 1 steel and 1 gilt brass icosahedron and sets of 2D spline curves mappings that I call cyclons. In The 2000's I pursued 3d printing and ray traced rendering. In the 2010's it's rigorous blocking of orthoschemes, so I may efficiently animate my database of icosahedra. These 3 prints are the hypotenuses of 60 right handed icosahedral orthoschemes. They are self referentially textured by an icosahedral cyclon. As a whole - a domain of a point, a brane? - CLP
Icosahedral digitization version x. Sixty triangular faces defined by the origin, vertices and mid-faces of the icosahedron. The hypotenuse with texture map (colour, transparency and bump) derived from a spline curve map (cyclon) of an icosahedron, edge on . Camera is above an icosahedron's mid-face. 3 fold symmetry is made visible.
Icosahedral digitization version x. Sixty triangular faces defined by the origin, vertices and mid-faces of the icosahedron. The hypotenuse with texture map (colour, transparency and bump) derived from a spline curve map (cyclon) of an icosahedron, edge on. Camera is above an icosahedron's mid-edge. 2 fold symmetry is made visible.
Icosahedral digitization version x. Sixty triangular faces defined by the origin, vertices and mid-faces of the icosahedron. The Hypotenuse with texture map (colour, transparency and bump) derived from a spline curve map (cyclon) of an icosahedron, edge on. Camera is above an icosahedron's vertex. 5 fold symmetry made visible.