Math::PlanePath Points on a path through the 2-D plane
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Perl module perl 2D plane 2-D plane plane path

Math::PlanePath Description

Points on a path through the 2-D plane Math::PlanePath is the Perl class for some mathematical paths which turn an integer position $n into coordinates $x,$y in the plane. The current classes include SquareSpiral four-sided spiral PyramidSpiral square base pyramid TriangleSpiral equilateral triangle TriangleSpiralSkewed equilateral skewed for compactness DiamondSpiral four-sided spiral, looping faster PentSpiralSkewed five-sided spiral, compact HexSpiral six-sided spiral HexSpiralSkewed six-sided spiral skewed for compactness HeptSpiralSkewed seven-sided spiral, compact OctagramSpiral eight pointed star KnightSpiral an infinite knight's tour GreekKeySpiral spiral with Greek key motif SacksSpiral quadratic on an Archimedean spiral VogelFloret seeds in a sunflower TheodorusSpiral unit steps at right angles ArchimedeanChords chords on an Archimedean spiral MultipleRings concentric circles PixelRings concentric circles by pixels Hypot points by distance HypotOctant first octant points by distance TriangularHypot points by triangular lattice distance PythagoreanTree primitive triples by tree PeanoCurve self-similar base-3 quadrant traversal HilbertCurve self-similar base-2 quadrant traversal ZOrderCurve replicating Z shapes KochCurve replicating triangular notches KochPeaks stacked replicating notches KochSnowflakes concentric snowflake rings Rows fixed-width rows Columns fixed-height columns Diagonals diagonals down from the Y to X axes Staircase stairs down from the Y to X axes Corner expanding stripes around a corner PyramidRows expanding rows pyramid PyramidSides along the sides of a 45-degree pyramidThe paths are object oriented to allow parameters, though only a few subclasses have any parameters. See examples/numbers.pl for a cute way to print samples of all the paths.The classes are generally based on integer $n positions and those designed for a square grid turn an integer $n into integer $x,$y. Usually they give in-between positions for fractional $n too. Classes not on a square grid, like SacksSpiral and VogelFloret, are designed for a unit circle at each $n but they too can give in-between positions on request.In general there's no parameters for scaling, or an offset for the 0,0 origin, or reflection up or down. Those things are thought better done by a general coordinate transformer that might expand or invert for display. Even clockwise instead of counter-clockwise spiralling can be had just by negating $x (or negate $y to stay starting at the right), or a quarter turn with -$y,$x. Try Transform::Canvas for scaling/shifting, and Geometry::AffineTransform for rotating too.SYNOPSIS use Math::PlanePath; # only a base class, see the subclasses for actual operation Requirements: · Perl

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