Search results for "dist:Math-PlanePath Math::Complex"
Math::PlanePath::ComplexPlus - points in complex base i+r
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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