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Search results for "dist:Math-PlanePath WIGGLY"

Math::PlanePath::Flowsnake - self-similar path through hexagons River stage one • 3 direct dependents • 4 total dependents

This path is an integer version of the flowsnake curve by William Gosper. A single arm of the curve fills 1/3 of the plane, spiralling around anti-clockwise ever fatter and with jagged self-similar edges....

KRYDE/Math-PlanePath-129 - 19 Jan 2021 06:32:01 UTC

Math::PlanePath::QuadricCurve - eight segment zig-zag River stage one • 3 direct dependents • 4 total dependents

This is a self-similar zig-zag of eight segments, 18-19 5 | | 16-17 20 23-24 4 | | | | 15-14 21-22 25-26 3 | | 11-12-13 29-28-27 2 | | 2--3 10--9 30-31 58-59 ... 1 | | | | | | | 0--1 4 7--8 32 56-57 60 63-64 <- Y=0 | | | | | | 5--6 33-34 55-54 61-62 ...

KRYDE/Math-PlanePath-129 - 19 Jan 2021 06:32:01 UTC

Math::PlanePath::QuintetCurve - self-similar "plus" shaped curve River stage one • 3 direct dependents • 4 total dependents

This path is Mandelbrot's "quartet" trace of spiralling self-similar "+" shape. Benoit B. Mandelbrot, "The Fractal Geometry of Nature", W. H. Freeman and Co., 1983, ISBN 0-7167-1186-9, section 7, "Harnessing the Peano Monster Curves", pages 72-73. 12...

KRYDE/Math-PlanePath-129 - 19 Jan 2021 06:32:01 UTC

Math::PlanePath::GosperIslands - concentric Gosper islands River stage one • 3 direct dependents • 4 total dependents

This path is integer versions of the Gosper island at successive levels, arranged as concentric rings on a triangular lattice (see "Triangular Lattice" in Math::PlanePath). Each island is the outline of a self-similar tiling of the plane by hexagons,...

KRYDE/Math-PlanePath-129 - 19 Jan 2021 06:32:01 UTC

Math::PlanePath::QuintetCentres - self-similar "plus" shape centres River stage one • 3 direct dependents • 4 total dependents

This a self-similar curve tracing out a "+" shape like the "QuintetCurve" but taking the centre of each square visited by that curve. 92 12 / | 124-... 93 91--90 88 11 | \ \ / \ 122-123 120 102 94 82 89 86--87 10 \ / | / | / / | | 121 119 103 101-100...

KRYDE/Math-PlanePath-129 - 19 Jan 2021 06:32:01 UTC

Math::PlanePath::FlowsnakeCentres - self-similar path of hexagon centres River stage one • 3 direct dependents • 4 total dependents

This path is a variation of the flowsnake curve by William Gosper which follows the flowsnake tiling the same way but the centres of the hexagons instead of corners across. The result is the same overall shape, but a symmetric base figure....

KRYDE/Math-PlanePath-129 - 19 Jan 2021 06:32:01 UTC
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