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Search results for "dist:Math-PlanePath FRACTAL"

Math::PlanePath::FibonacciWordFractal - turns by Fibonacci word bits River stage one • 3 direct dependents • 4 total dependents
2 ++

This is an integer version of the Fibonacci word fractal Alexis Monnerot-Dumaine, "The Fibonacci Word Fractal", March 2009. <https://hal.archives-ouvertes.fr/hal-00367972/>...

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

Math::NumSeq::PlanePathN - sequence of N values from PlanePath module River stage one • 3 direct dependents • 4 total dependents
2 ++

This module presents N values from a "Math::PlanePath" as a sequence. The default is the X axis, or the "line_type" parameter (a string) can choose among "X_axis" X axis (positive part) "Y_axis" Y axis (positive part) "X_neg" X negative axis "Y_neg" ...

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

Math::NumSeq::PlanePathTurn - turn sequence from PlanePath module River stage one • 3 direct dependents • 4 total dependents
2 ++

This is a tie-in to present turns from a "Math::PlanePath" module in the form of a NumSeq sequence. The "turn_type" choices are "Left" 1=left, 0=right or straight "Right" 1=right, 0=left or straight "Straight" 1=straight, 0=left or right "NotStraight...

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

Math::NumSeq::PlanePathDelta - sequence of changes and directions of PlanePath coordinates River stage one • 3 direct dependents • 4 total dependents
2 ++

This is a tie-in to present coordinate changes and directions from a "Math::PlanePath" module in the form of a NumSeq sequence. The "delta_type" choices are "dX" change in X coordinate "dY" change in Y coordinate "AbsdX" abs(dX) "AbsdY" abs(dY) "dSum...

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

Math::PlanePath - points on a path through the 2-D plane River stage one • 3 direct dependents • 4 total dependents
2 ++

This is a base class for some mathematical paths which map an integer position $n to and from coordinates "$x,$y" in the 2D plane. The current classes include the following. The intention is that any "Math::PlanePath::Something" is a PlanePath, and s...

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

Math::PlanePath::CCurve - Levy C curve River stage one • 3 direct dependents • 4 total dependents
2 ++

This is an integer version of the "C" curve by Lévy. "Les Courbes Planes ou Gauches et les Surfaces Composée de Parties Semblables au Tout", Journal de l'École Polytechnique, July 1938 pages 227-247 and October 1938 pages 249-292 <http://gallica.bnf....

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

Math::PlanePath::Flowsnake - self-similar path through hexagons River stage one • 3 direct dependents • 4 total dependents
2 ++

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::KochCurve - horizontal Koch curve River stage one • 3 direct dependents • 4 total dependents
2 ++

This is an integer version of the self-similar Koch curve, Helge von Koch, "Une Méthode Géométrique Élémentaire pour l'Étude de Certaines Questions de la Théorie des Courbes Planes", Acta Arithmetica, volume 30, 1906, pages 145-174. <http://archive.o...

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

Math::PlanePath::GosperSide - one side of the Gosper island River stage one • 3 direct dependents • 4 total dependents
2 ++

This path is a single side of the Gosper island, in integers ("Triangular Lattice" in Math::PlanePath). 20-... 14 / 18----19 13 / 17 12 \ 16 11 / 15 10 \ 14----13 9 \ 12 8 / 11 7 \ 10 6 / 8---- 9 5 / 6---- 7 4 / 5 3 \ 4 2 / 2---- 3 1 / 0---- 1 <- Y=0...

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

Math::PlanePath::KochelCurve - 3x3 self-similar R and F River stage one • 3 direct dependents • 4 total dependents
2 ++

This is an integer version of the Kochel curve by Herman Haverkort, "Recursive Tilings and Space-Filling Curves with Little Fragmentation", Journal of Computational Geometry, volume 2, number 1, 2011, pages 92-127. <http://jocg.org/index.php/jocg/art...

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

Math::PlanePath::DragonCurve - dragon curve River stage one • 3 direct dependents • 4 total dependents
2 ++

This is the dragon or paper folding curve by Heighway, Harter, et al....

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
2 ++

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
2 ++

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::ComplexMinus - i-1 and other complex number bases i-r River stage one • 3 direct dependents • 4 total dependents
2 ++

This path traverses points by a complex number base i-r for given integer r. The default is base i-1 as per Solomon I. Khmelnik "Specialized Digital Computer for Operations with Complex Numbers" (in Russian), Questions of Radio Electronics, volume 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
2 ++

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::KochSnowflakes - Koch snowflakes as concentric rings River stage one • 3 direct dependents • 4 total dependents
2 ++

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...

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

Math::PlanePath::QuadricIslands - quadric curve rings River stage one • 3 direct dependents • 4 total dependents
2 ++

This path is concentric islands made from four sides each an eight segment zig-zag (per the "QuadicCurve" path). 27--26 3 | | 29--28 25 22--21 2 | | | | 30--31 24--23 20--19 1 | 4--3 | 34--33--32 | 16--17--18 <- Y=0 | 1--2 | 35--36 7---8 15--14 -1 | ...

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

Math::PlanePath::TerdragonCurve - triangular dragon curve River stage one • 3 direct dependents • 4 total dependents
2 ++

This is the terdragon curve by Davis and Knuth, Chandler Davis and Donald Knuth, "Number Representations and Dragon Curves -- I", Journal Recreational Mathematics, volume 3, number 2 (April 1970), pages 66-81 and "Number Representations and Dragon Cu...

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