Greetings, come and begin to understand 3D geometry like a star ship captain.

Golden Geometry — A Guided Path

Everything here is built in golden space: every coordinate is an exact golden number, and every tile is a golden triangle. Work through the lessons in order — each one builds the tool the next one needs.

  1. PhiBase — Exact Arithmetic — the number system p·φ + n: add, multiply, exact division, and the lattice-membership test.
  2. The Fibonacci Spine — powers of φ as exact integer pairs; multiply by adding indices.
  3. Six-basis ↔ Cartesian — six golden directions instead of three, mapped exactly both ways.
  4. Exact Reflections — folding space; reflected points land in ⅕Z[φ], exactly.
  5. The 15 Mirror Planes — why the six face axes don’t close, and the fifteen that generate Ih.
  6. The Nearest-Neighbour Star — every neighbour reached by translation; nothing missed.
  7. The Golden-Triangle Hull — placing the next golden triangle or gnomon, exactly.

Each lesson has a live, interactive panel running the real geometry code — so the numbers you see are the same ones the engine builds with.

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Since the uses of Space Struts in actual construction of human sized dwellings and structures, on earth or in space, will require many miles of red-tape to be digested. For that reason, a provisional patent has been applied for, and the use of that patent only allows crafts for education, not construction. Let the Patent Pend.

Since the uses of Space Struts in actual construction of human sized dwellings and structures, on earth or in space, will require many miles of red-tape to be digested. For that reason, a provisional patent has been applied for, and the use of that patent only allows crafts for education, not construction. Let the Patent Pend.