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Search results for "distribution:Math-PlanePath Math::Complex"

Math::PlanePath::ComplexPlus - points in complex base i+r River stage one • 3 direct dependents • 4 total dependents
2 ++

This path traverses points by a complex number base i+r for integer r>=1. The default is base i+1 30 31 14 15 5 28 29 12 13 4 26 27 22 23 10 11 6 7 3 24 25 20 21 8 9 4 5 2 62 63 46 47 18 19 2 3 1 60 61 44 45 16 17 0 1 <- Y=0 58 59 54 55 42 43 38 39 -...

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::ComplexRevolving - points in revolving complex base i+1 River stage one • 3 direct dependents • 4 total dependents
2 ++

This path traverses points by a complex number base i+1 with turn factor i (+90 degrees) at each 1 bit. This is the "revolving binary representation" of Knuth's Seminumerical Algorithms section 4.1 exercise 28....

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::PlanePathCoord - sequence of coordinate values from a PlanePath module River stage one • 3 direct dependents • 4 total dependents
2 ++

This is a tie-in to make a "NumSeq" sequence giving coordinate values from a "Math::PlanePath". The NumSeq "i" index is the PlanePath "N" value. The "coordinate_type" choices are as follows. Generally they have some sort of geometric interpretation o...

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::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::CellularRule - cellular automaton points of binary rule River stage one • 3 direct dependents • 4 total dependents
2 ++

This is the patterns of Stephen Wolfram's bit-rule cellular automatons <http://mathworld.wolfram.com/ElementaryCellularAutomaton.html> Points are numbered left to right in rows so for example rule => 30 51 52 53 54 55 56 57 58 59 60 61 62 9 44 45 46 ...

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

Math::PlanePath::ImaginaryBase - replications in four directions River stage one • 3 direct dependents • 4 total dependents
2 ++

This is a simple pattern arising from complex numbers expressed in a base i*sqrt(2) or other i*sqrt(r) base. Or equivalently by negabinary encoded X,Y digits interleaved. The default radix=2 is 38 39 34 35 54 55 50 51 5 36 37 32 33 52 53 48 49 4 46 4...

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
2 ++

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::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

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

This is the midpoint of each segment of the dragon curve of Heighway, Harter, et al, per Math::PlanePath::DragonCurve. 17--16 9---8 5 | | | | 18 15 10 7 4 | | | | 19 14--13--12--11 6---5---4 3 | | 20--21--22 3 2 | | 33--32 25--24--23 2 1 | | | | 34 3...

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

Math::PlanePath::SquareReplicate - replicating squares River stage one • 3 direct dependents • 4 total dependents
2 ++

This path is a self-similar replicating square, 40--39--38 31--30--29 22--21--20 4 | | | | | | 41 36--37 32 27--28 23 18--19 3 | | | 42--43--44 33--34--35 24--25--26 2 49--48--47 4-- 3-- 2 13--12--11 1 | | | | | | 50 45--46 5 0-- 1 14 9--10 <- Y=0 | ...

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

Math::PlanePath::GosperReplicate - self-similar hexagon replications River stage one • 3 direct dependents • 4 total dependents
2 ++

This is a self-similar hexagonal tiling of the plane. At each level the shape is the Gosper island. 17----16 4 / \ 24----23 18 14----15 3 / \ \ 25 21----22 19----20 10---- 9 2 \ / \ 26----27 3---- 2 11 7---- 8 1 / \ \ 31----30 4 0---- 1 12----13 <- Y...

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

Math::PlanePath::R5DragonMidpoint - R5 dragon curve midpoints River stage one • 3 direct dependents • 4 total dependents
2 ++

This is midpoints of the R5 dragon curve by Jorg Arndt, 31--30 11 | | 32 29 10 | | 51--50 35--34--33 28--27--26 9 | | | | 52 49 36--37--38 23--24--25 8 | | | | 55--54--53 48--47--46 41--40--39 22 7 | | | | 56--57--58 63--64 45 42 19--20--21 6 | | | |...

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

Math::PlanePath::QuintetReplicate - self-similar "+" tiling River stage one • 3 direct dependents • 4 total dependents
2 ++

This is a self-similar tiling of the plane with "+" shapes. It's the same kind of tiling as the "QuintetCurve" (and "QuintetCentres"), but with the middle square of the "+" shape centred on the origin. 12 3 13 10 11 7 2 14 2 8 5 6 1 17 3 0 1 9 <- Y=0...

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

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

This is midpoints of an integer version of the terdragon curve by Davis and Knuth. 30----29----28----27 13 \ / 31 26 12 \ / 36----35----34----33----32 25 11 \ / 37 41 24 10 \ / \ / 38 40 42 23----22----21 9 \ / \ / 39 43 20 8 \ / 48----47----46----45...

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