Knot Explorer

Topological Knots Visualizer

$9.99

Apple Vision

Explore the wonderful world of knots! Knot Explorer is a fun and engaging app for visualising and manipulating topological knots. A topological knot is a closed loop in space that is entangled or knotted, and cannot be unentangled without cutting. Picture a piece of string. Tie it in a knot in whatever way you like, and glue the ends together. This is what a topologist calls a knot. Two such knots are considered to be the same only if you can manipulate one to look like the other, without cutting. Knot theory has unexpected applications in many areas of science, from Quantum Field Theory to the structure of DNA. To study knots is to see the hidden patterns in the fabric of reality itself! Knot Explorer is your guide. Knot Explorer includes a catalogue of all knots up to 8 crossings, with hand-crafted projections and elegant 3D-embeddings. These knots can be viewed in 3d, rotated in space, and they can be manipulated and deformed. In addition to the knot catalogue, Knot Explorer can make all torus knots. A torus is a doughnut shape, with a big hole in the middle. A torus knot is a knot that can be drawn on the surface of a torus by winding around it multiple times. But wait, there's more! Knot Explorer can make satellite knots. A satellite knot is a knot tied in a knot. We take a knot drawn on the surface of a torus (or inside), and we tie the torus in a knot. In this way Knot Explorer can generate many beautifully complex knots. Unlock the fascinating world of knots with Knot Explorer!

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Knot Explorer can now generate satellite knots. Bug fixes and improvements to rendering and performance.

Version 1.1

The developer, DAVID CROOKS SOFTWARE DEVELOPMENT LIMITED, indicated that the app’s privacy practices may include handling of data as described below. For more information, see the developer’s privacy policy .

  • Data Not Collected

    The developer does not collect any data from this app.

    Privacy practices may vary, for example, based on the features you use or your age. Learn More

    Accessibility

    The developer has not yet indicated which accessibility features this app supports. Learn More

    Information

    • Seller
      • DAVID CROOKS SOFTWARE DEVELOPMENT LIMITED
    • Size
      • 6.9 MB
    • Category
      • Education
    • Compatibility
      Requires visionOS 1.0 or later.
      • Apple Vision
        Requires visionOS 1.0 or later.
    • Languages
      • English
    • Age Rating
      4+
    • Copyright
      • © David Crooks
  • Privacy Policy

    • Supports

    • Family Sharing

      Up to six family members can use this app with Family Sharing enabled.

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