NAME

App::MathImage::PlanePath::Flowsnake -- self-similar path traversal

SYNOPSIS

 use App::MathImage::PlanePath::Flowsnake;
 my $path = App::MathImage::PlanePath::Flowsnake->new;
 my ($x, $y) = $path->n_to_xy (123);

DESCRIPTION

This path ...

FUNCTIONS

$path = App::MathImage::PlanePath::Flowsnake->new ()

Create and return a new path object.

($x,$y) = $path->n_to_xy ($n)

Return the X,Y coordinates of point number $n on the path. Points begin at 0 and if $n < 0 then the return is an empty list.

Fractional positions give an X,Y position along a straight line between the integer positions. Integer positions are always just 1 apart either horizontally or vertically, so the effect is that the fraction part appears either added to or subtracted from X or Y.

$n = $path->xy_to_n ($x,$y)

Return an integer point number for coordinates $x,$y. Each integer N is considered the centre of a unit square an $x,$y within that square returns N.

SEE ALSO

Math::PlanePath, Math::PlanePath::HilbertCurve Math::PlanePath::PeanoCurve Math::PlanePath::ZOrderCurve

Guiseppe Peano, "Sur une courbe, qui remplit toute une aire plane", Mathematische Annalen, volume 36, number 1, 1890, p157-160

    DOI 10.1007/BF01199438
    http://www.springerlink.com/content/w232301n53960133/

HOME PAGE

http://user42.tuxfamily.org/math-image/index.html

LICENSE

Math-Image is Copyright 2010, 2011 Kevin Ryde

Math-Image is free software; you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation; either version 3, or (at your option) any later version.

Math-Image is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details.

You should have received a copy of the GNU General Public License along with Math-Image. If not, see <http://www.gnu.org/licenses/>.