Explore topology,
play with non-orientable ideas

Explore New Worlds
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M³: Interactive Manifold Explorer
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Papers: Dive into New Worlds and Theory
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Unravel non-orientable spaces, test the Mayo Manifold Machine, and play with topology tools. Learn, experiment, and collaborate—no advanced math required.

Explore topology. Play with ideas.

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Research

FlipZip compression breakthrough

Discover how FlipZip achieves up to 68% data compression using non-orientable topology. See real results and interactive demos.

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Games

Interactive topology puzzles

Solve Möbius, Rubik’s, and wormhole games that make advanced math intuitive. Save progress and challenge your perspective.

Feed your curiosity. Shape your world.

Topology, reimagined for everyone

Explore non-orientable spaces, compression breakthroughs, and interactive math—made accessible for all curious minds.

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What is non-orientable topology?

Non-orientable topology studies shapes like Möbius strips and Klein bottles—surfaces with only one side. These structures challenge our intuition and reveal new ways to understand space, symmetry, and orientation.

How does FlipZip compression work?

FlipZip leverages topological insights to compress data. It identifies 'seams'—hidden patterns in data—using the universal constant k*≈0.721, achieving efficient storage without loss.

What is the Mayo Manifold Machine?

The Mayo Manifold Machine (M³) is a framework for visualizing and manipulating complex geometric spaces. It powers interactive games and tools that make advanced math concepts hands-on and intuitive.

Why does k*≈0.721 matter?

The constant k*≈0.721 appears across topology, compression, and physics. It marks the optimal point for seam placement, unlocking new efficiencies and revealing deep connections between math and the real world.