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fabric-o-matic's Issues

Base math of curve

  • model of curve as spline
  • reverse projecting of a curve segment
  • texture mapping on cylinder surface
  • bump mapping of elevation
  • normal mapping of the cylinder surface

develop math of fibers

construct procedural texture of twisted yarn:

  • affects UV coordinates and can be applied recursively
  • twists in any direction (S or Z)
  • twists any number of strands (of equal thickness)
  • twists with constant period of 1 (it can be customized by mangling input parameters)

math of knitting

  • construct single knot of 2 arcs
  • construct semi-loop of 2 knots
  • align with neighbors

Knot types:

  • knit-w
  • knit-e
  • purl-w
  • purl-e

Combinations of half-loops:

  • knit-w + knit-e
  • purl-w + purl-e

Combinations of neighbors
{knot,purl} ร— {S, N, E, W} ร— {knot, purl}

In total: 32 combinations (of semi-loops)

math of weaving

  • construct single knot
  • align with neighbors

Knot types:

  • weft-facing
  • warp-facing

Neighbours: 4 (S, N, E, W)

In total: 32 = 2 * 16 combinations

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