Math::PlanePath::QuintetCentres - self-similar "plus" shape centres

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...

/Math-PlanePath-128 - 27 Sep 2020 12:53:43 UTC

Math::PlanePath::KochSnowflakes - Koch snowflakes as concentric rings

This path traces out concentric integer versions of the Koch snowflake at successively greater iteration levels. 48 6 / \ 50----49 47----46 5 \ / 54 51 45 42 4 / \ / \ / \ 56----55 53----52 44----43 41----40 3 \ / 57 12 39 2 / / \ \ 58----59 14----13...

/Math-PlanePath-128 - 27 Sep 2020 12:53:43 UTC

Math::PlanePath::PythagoreanTree - primitive Pythagorean triples by tree

This path enumerates primitive Pythagorean triples by a breadth-first traversal of one of three ternary trees, "UAD" Berggren, Barning, Hall, and others "FB" Firstov and Price "UMT" Firstov Each X,Y point is a pair of integer A,B sides of a right tri...

/Math-PlanePath-128 - 27 Sep 2020 12:53:43 UTC

Math::PlanePath::FactorRationals - rationals by prime powers

This path enumerates rationals X/Y with no common factor, based on the prime powers in numerator and denominator, as per Kevin McCrimmon, "Enumeration of the Positive Rationals", American Math. Monthly, Nov 1960, page 868. <http://www.jstor.org/stabl...

/Math-PlanePath-128 - 27 Sep 2020 12:53:43 UTC

Math::PlanePath::FlowsnakeCentres - self-similar path of hexagon centres

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....

/Math-PlanePath-128 - 27 Sep 2020 12:53:43 UTC

Math::PlanePath::SierpinskiTriangle - self-similar triangular path traversal

This path is an integer version of Sierpinski's triangle from Waclaw Sierpinski, "Sur une Courbe Dont Tout Point est un Point de Ramification", Comptes Rendus Hebdomadaires des Séances de l'Académie des Sciences, volume 160, January-June 1915, pages ...

/Math-PlanePath-128 - 27 Sep 2020 12:53:43 UTC

Math::SymbolicX::ParserExtensionFactory - Generate parser extensions

This module provides a simple way to extend the Math::Symbolic parser with arbitrary functions that return any valid Math::Symbolic tree. The return value of the function call is inserted into the complete parse tree at the point at which the functio...

/Math-SymbolicX-ParserExtensionFactory-3.02 - 04 Mar 2009 17:32:25 UTC

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