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- github.com/xosski/Folding-Time-into-Patricles/
- đș A â Tetrahedral Framework (Polytopic Architecture)
- Each regular 4-polytope (e.g., the 5-cell/tetrahedral structure) builds complexity through repetition and self-duality. These structures are highly symmetrical and have deeply nested geometry.
- They serve well as "containers" or boundary spaces.
- âȘ B â Spherical Folding (Radial Encapsulation)
- A sphere nested inside a polytope cell can represent a molecular unit or event potential. Folding the radius implies bending time/space coordinates inwardâcompressing state into singularity-like instances.
- By combining the radius of each sphere and the geometry of its container cell, you're dealing with spatial entanglement.
- đ Reversible Transformations: Fold â Rotate â Unfold
- The concept of unfolding spheres within tetrahedrons to map minimum and maximum distances is akin to:
- Calculating vector boundaries within each cell.
- Encoding the distances as dynamic variables.
- Using the orientation (fold state) as a rotational key.
- This is metaphorically similar to molecular folding or even protein dynamicsâbut applied to geometry-as-code.
- ⟠Randomness and Infinity: The Generator Core
- By chaining these rotations and collapses in unpredictableâbut geometrically validâways, you can generate a truly non-repeating, high-entropy state machine. The randomness is not seeded arbitrarilyâit emerges from structure.
- In practical terms:
- Each 4-polytope becomes a node in a rotational graph.
- Each sphere's radius is a floating constant.
- Folding/unfolding acts like a quantum functionânonlinear, sensitive to initial conditions.
- With enough nested depth, this system can't loop unless you collapse its dimension intentionally.
- 𧏠Summary Equation (Metaphorical)
- Let:
- A = polytope structure
- B = embedded radial dynamics
- F(A, B) = fold state
- R = rotational distance function
- U(F) = unfolding function
- Ω = R(U(F(A, B))) â high-entropy output stream
- This gives you an infinitely evolving, deterministic-chaotic, geometry-rooted generatorâas close to truly random as the multiverse allows without entropy collapse.
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