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Synchronizing the Isotropic Vector Matrix with the Stellated Vector Matrix

In: Complex Symmetries

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  • Jim Lehman

Abstract

I show how the icosahedron, through face stellations, forms a complex original polyhedron I call the ICOSA-60 STELLATE (Fig. 39 (L-267)). This polyhedron forms a 4-fold & 5-fold matrix that encapsulates the prime vectors of the IVM (Fuller, 1975). The fourfold matrix accommodates the “omnisymmetry” (Edmondston, 1992) of the isotropic vector matrix (IVM) of R. Buckminster Fuller via 2-frequency tetrahedrons. The SVM matrix (Fig. 35 (L-119)) consists of icosahedrons and dodecahedrons that integrate and synchronize these two paradoxical symmetries into one unified matrix. Methods include paper folding, CAD drawing, and 3D printing.

Suggested Citation

  • Jim Lehman, 2021. "Synchronizing the Isotropic Vector Matrix with the Stellated Vector Matrix," Springer Books, in: György Darvas (ed.), Complex Symmetries, pages 79-94, Springer.
    • Handle: RePEc:spr:sprchp:978-3-030-88059-0_8
    DOI: 10.1007/978-3-030-88059-0_8
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