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icosindexer's Introduction

Pointerless Icosahedron Indexing Algorithm

Adapted from:

Lee, Michael and Samet, Hanan. (April 2000). Navigating through Triangle Meshes Implemented as Linear Quadtrees. ACM Transactions on Graphics, Vol. 19, No. 2. Retrieved from https://pdfs.semanticscholar.org/a5c8/8b53174405e5ff512ff5ffa8a56df3c8e2df.pdf

Indices:

       /\\        \\--------------/
      /  \\        \\ 01  /\\ 11 /
     / 00 \\        \\   /  \\  /
    /------\\        \\ / 10 \\/
   /\\ 10 / \\        \\------/
  /  \\  /   \\        \\ 00 /
 / 01 \\/ 11  \\        \\  /
/--------------\\        \\/

  /\\    /\\    /\\    /\\    /\\
 /  \\  /  \\  /  \\  /  \\  /  \\
/ 00 \\/ 01 \\/ 02 \\/ 03 \\/ 04 \\
-----------------------------------
\\ 05 /\\ 06 /\\ 07 /\\ 08 /\\ 09 /\\
 \\  /  \\  /  \\  /  \\  /  \\  /  \\
  \\/ 10 \\/ 11 \\/ 12 \\/ 13 \\/ 14 \\
   ------------------------------------
    \\ 15 /\\ 16 /\\ 17 /\\ 18 /\\ 19 /
     \\  /  \\  /  \\  /  \\  /  \\  /
      \\/    \\/    \\/    \\/    \\/

Future Work

See https://gist.github.com/shanewholloway/8987507c06583ff5a5f33012fa10ab9d for an improved version.

Complete icosahedral 3D lib to come...

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