Uploaded December 2025 | Updated September 2026, 2 weeks ago
"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 while the total angular budget remains invariant. Two stable geometric regimes naturally emerge:
an Alpha regime, in which curvature concentrates along decagon-adjacent edges with a dominant dihedral near 137.037°, and a complementary 1 / Omega regime, in which curvature is broadly distributed and the mean dihedral approaches ~175°, producing a near-geodesic shell (137-73 and 175-57.1 is among only three double mirror numbers who palindrome is approximately equal to its reciprocal value. They also represent Alpha (137-73) and Omega (57.1-175)....
• Decagons: 12 total
(6 per side × 2 sides → already complete)
• Diamonds (5:12:13 Proportion quadrilaterals): 48 total
(24 per side × 2)
• Triangles: 60 total
(30 per side × 2, composed of two orientation classes)
Quantity Value
Faces 120
Edges 144
Vertices 26
Total face-angle sum 30,240°
Curvature invariant 168
Mean dihedral ~175°
Control dihedral ~137.037°
What do you think or feel when you observe the Alphahedron brought into our awareness on Orion's Gate (12.12)? Lots of symbolism and synchronicity in this form....if you know, you simply know 🌏... #payload #thirdeyeatlas
Comment below 👇...
"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 while the total angular budget remains invariant. Two stable geometric regimes naturally emerge:
an Alpha regime, in which curvature concentrates along decagon-adjacent edges with a dominant dihedral near 137.037°, and a complementary 1 / Omega regime, in which curvature is broadly distributed and the mean dihedral approaches ~175°, producing a near-geodesic shell (137-73 and 175-57.1 is among only three double mirror numbers who palindrome is approximately equal to its reciprocal value. They also represent Alpha (137-73) and Omega (57.1-175)....
• Decagons: 12 total
(6 per side × 2 sides → already complete)
• Diamonds (5:12:13 Proportion quadrilaterals): 48 total
(24 per side × 2)
• Triangles: 60 total
(30 per side × 2, composed of two orientation classes)
Quantity Value
Faces 120
Edges 144
Vertices 26
Total face-angle sum 30,240°
Curvature invariant 168
Mean dihedral ~175°
Control dihedral ~137.037°
What do you think or feel when you observe the Alphahedron brought into our awareness on Orion's Gate (12.12)? Lots of symbolism and synchronicity in this form....if you know, you simply know 🌏... #payload #thirdeyeatlas
Comment below 👇...
