Math-PlanePath

This spot of Perl code calculates various mathematical paths through a 2-D X,Y plane.

            13
         14  3 12 ...
      15  4  1  2 11 28
   16  5  6  7  8  9 10 27
17 18 19 20 21 22 23 24 25 26

Math-PlanePath is free software (free as in freedom), published under the terms of the GNU General Public License (v3 or higher).

Download version 103 here, either just the .pm file, the full source here or from CPAN, or a Debian package here or from my repo.

Math-PlanePath-103.tar.gz (1020k, and sig)
libmath-planepath-perl_103-0.1_all.deb (1271k, and sig)

Math-PlanePath-Toothpick-8.tar.gz (143k, and sig)
libmath-planepath-toothpick-perl_8-0.1_all.deb (109k, and sig)

The sig files are Gnu PG ascii armoured signatures generated from my key. There's a SIGNATURE file inside the .tar.gz for cpansign too. Older sources can be found at backpan.

Paths

There's no drawing in Math-PlanePath, just coordinate calculations (see math-image for drawing), but here's some samples. Click each for its section in the gallery (PNG format images, total about 285 kbytes).

• Square numbering of Ulam's spiral
• Hexagonal spirals
• Pentagonal, heptagonal, anvil and octagram spirals
• Diamond spiral and rings
• Triangle spirals
• Diagonals, corner, and staircases
• Pyramid side and rows, M peaks
• Cellular automaton patterns
• Infinite knight's tour and Cretan labyrinth
• Greek Key motif
• Multi-arm spirals
• Peano, Hilbert, Z-order, Gray code
• Wunderlich serpentine and meander, Beta-Omega, AR2W2, Kochel curves
• Dekking and Cinco curves
• Imaginary base, cubic base, corner replicate, square replicate
• L tiling, digit groups
• Fibonacci word fractal
• Vogel's sunflower floret
• Sacks' quadratic spiral
• Spiral of Theodorus and Archimedean Chords
• Pixellated, filled, and circular rings
• Flowsnake and Gosper islands
• Quintet
• Koch curve and snowflakes
• Quadric curve and islands
• Sierpinski triangle and arrowhead
• Sierpinski curve and H-indexing
• Dragon paper-folding and alternate paper folding, and their midpoints
• Terdragon curve, rounded, and midpoints
• R5dragon curve and midpoints
• C-Curve
• Complex i+/-r (including twindragon i-1), and revolving i+1
• Points by hypotenuse distance square or triangular
• Pythagorean triples tree
• Rationals diagonal, factors, GCD, Cfrac digits
• Rationals, fractions, and Chan trees
• Coprime and divisible columns
• Ulam-Warburton cellular
• Wythoff and power arrays

And in the separate Math-PlanePath-Toothpick distribution.

• Toothpick, LCorner, One of Eight

See math-image to display various values on these these paths.

This page Copyright 2010, 2011, 2012, 2013 Kevin Ryde, except for the GPLv3 logo which is Copyright Free Software Foundation and used here in accordance with its terms.

Imagine this page spiralling.
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