"Geometry is a 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 discovered that enables exploration of higher-order symmetry, curvature conservation, and non-uniform polyhedral families. Unlike classical Platonic or Archimedean solids, the Alphahedron is not defined by uniform faces or vertices, but by a conserved angular structure across a fixed combinatorial topology. It is best understood not as a single rigid solid, but as a continuous one-parameter family of valid three-dimensional embeddings. Within this family, curvature is free to migrate between edge classes…

