NEW DISCOVERY: The Grant Projection Theorem: Complete Generation of 3D Polyhedral Structure from 2D Harmonic Right Triangles Including Analysis of the 31 Uniform Polyhedra, Harmonic Solids, Grant Polytopes, and the Inner 120-Cell (see IG Profile for Paper Link) Key Conclusions (Short Form) • Three-dimensional polyhedral structure is generated, not assumed, from a single right triangle. • Euler’s formula emerges automatically as a consequence, not an axiom. • All known convex uniform polyhedra fo
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Robert Edward Grant on Instagram: "NEW DISCOVERY: (12.12.25) December 12, 2025 — “Orion’s Gate” "Geometry is the QR Code for the subconscious mind"--REGrant The Alphahedron is a newly identified polyhedral structure discovered using the Orion Octave Cubes Omnidirectional Projection method, a geometric framework I recently discovered that enables exploration of higher-order (dimensional) symmetry, curvature conservation, and non-uniform polyhedral families. Unlike classical Platonic or Archimedea
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