Curtis L Palmer
A method for kaleidoscopically painting an Icosahedron is
illustrated by two clips. In each, an array of icosahedral simplex
components is painted with an icosahedral Cyclon in rotation (cf.
Palmer Bridges past). The Cylon used as a texture map is reproduced
as the end frame of my movie. Colours have been modified. With 3,600
frames (0.1 degree rotation per frame) produces a smooth full
rotation that will loop with no cusp. Images in each row of Clip 1
are aligned to the icosahedron's axes of symmetry: Edge, Face
Vertex. They are the behind the scenes components of icosahedral
symmetry simplexes. What I call: circumsphere, screens, altitudes,
bases and hypoteni are surfaces produced by cutting along the planes
of symmetry. Clip 2 shows a rotated close up of clip 1, the
spherical icosahedra paired with their 'screens' counterpart. The
corona virus's capsids have icosahedral symmetry. "What immortal
hand or eye could frame thy fearful symmetry?" Blake.