The Lehman Sculpture
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Focus shifted to the vertex where 8 2F cubes meet. This could be the locus of a new penta-matrix -- with 2F cube corners at the centers of those currently displayed. |
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The spheres shown belong to an IVM with more spheres at all the 2F cube mid-edges (the vertices of the cuboctahedra). IVM = 2F cube centers + 2F cube mid-edges. |
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2F cubes with nuclear spheres inscribed in rhombic dodecahedra (volume 6). The centered yellow cuboctahedron indicates where spheres of an alternate IVM would be: at cube mid-faces, as well as wherever 8 2F cubes meet. Alternate IVM = 2F cube corners + 2F cube mid-faces.
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The red octahedra (volume 4) appear as the long diagonals of rhombic dodecahedra. The alternate IVM with a sphere at the center of the yellow cuboctahedron would have additional spheres at the ends of all of these long diagonals (i.e 2F cube mid-faces). |
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Same as above but with the octahedra in wireframe, and with inscribed icosahedra.
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For further reading: |