The Lehman Sculpture


Focus shifted to the vertex where 8 2F cubes meet. This could be the locus of a new pentamatrix  with 2F cube corners at the centers of those currently displayed. 

The spheres shown belong to an IVM with more spheres at all the 2F cube midedges (the vertices of the cuboctahedra). IVM = 2F cube centers + 2F cube midedges. 

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 midfaces, as well as wherever 8 2F cubes meet. Alternate IVM = 2F cube corners + 2F cube midfaces.


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 midfaces). 

Same as above but with the octahedra in wireframe, and with inscribed icosahedra.


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