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TiredofSleep/README.md

Tired of Sleep

Brayden Ross Sanders · 7SiTe LLC · Hot Springs, Arkansas

A new way to teach higher mathematics

The integers 0 to 9 as the shapes they are forced to take: the void, a point, a segment, a triangle, a tetrahedron, a tetrahedron with its centre, an octahedron, an octahedron with its centre, a cube, a cube with its centre.

Read the integers as shapes. The void is the centre, the fullest point. Equal distances build the segment, the triangle and the tetrahedron, until the fourth point lifts into space. The cube casts two shadows. Rotation is i, growth is e, and √2 is the seam where counting cannot measure.

Each of these shapes points up a tower of higher mathematics. On every floor there is a coin: a flip with two sides and an edge, where the paradox lives. The method is to classify paradoxes, not to resolve them.

  • 📖 The Shape of Understanding — the book. A staircase from gumdrops to undergraduate mathematics; every picture is checked against the real proof.

  • 🪙 Two Sides and an Edge — the book's companion unit: flips, fixed points and four kinds of paradox, from a coin in your pocket to Cantor's diagonal.

  • 🏛️ Trinity Infinity Geometry — the flagship:

    • the base — the integers 0–9 as the most symmetric arrangements of points;
    • the towers of higher mathematics they point up to;
    • the coin, including four kinds of paradox classified.

    It is machine-checked, one command per part.

  • ✍️ What survived — an essay on auditing two years of AI-assisted research: three gates every result must pass, what passed, and what we would tell anyone doing research with AI.

The workstation

⚙️ ck — the full working trail of the earlier program, including the Coherence Keeper software. The table-based "TIG" program built there was retired in September 2026, after an audit found that no result specific to its tables survives. Nothing was deleted. RETIRED.md says what was retired and what was salvaged.

Built with Claude (Anthropic). © 2026 Brayden Sanders / 7SiTe LLC

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