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lib/Math/PlanePath.pm  view on Meta::CPAN

L<Math::PlanePath::Rows>,
L<Math::PlanePath::Columns>,
L<Math::PlanePath::Diagonals>,
L<Math::PlanePath::DiagonalsAlternating>,
L<Math::PlanePath::DiagonalsOctant>,
L<Math::PlanePath::Staircase>,
L<Math::PlanePath::StaircaseAlternating>,
L<Math::PlanePath::Corner>
L<Math::PlanePath::CornerAlternating>

L<Math::PlanePath::PyramidRows>,
L<Math::PlanePath::PyramidSides>,
L<Math::PlanePath::CellularRule>,
L<Math::PlanePath::CellularRule54>,
L<Math::PlanePath::CellularRule57>,
L<Math::PlanePath::CellularRule190>,
L<Math::PlanePath::UlamWarburton>,
L<Math::PlanePath::UlamWarburtonQuarter>

L<Math::PlanePath::DiagonalRationals>,
L<Math::PlanePath::FactorRationals>,
L<Math::PlanePath::GcdRationals>,
L<Math::PlanePath::RationalsTree>,
L<Math::PlanePath::FractionsTree>,
L<Math::PlanePath::ChanTree>,
L<Math::PlanePath::CfracDigits>,
L<Math::PlanePath::CoprimeColumns>,
L<Math::PlanePath::DivisibleColumns>,
L<Math::PlanePath::WythoffArray>,
L<Math::PlanePath::WythoffPreliminaryTriangle>,
L<Math::PlanePath::PowerArray>,
L<Math::PlanePath::File>

=for my_pod see_also end

L<Math::PlanePath::LCornerTree>,
L<Math::PlanePath::LCornerReplicate>,
L<Math::PlanePath::ToothpickTree>,
L<Math::PlanePath::ToothpickReplicate>,
L<Math::PlanePath::ToothpickUpist>,
L<Math::PlanePath::ToothpickSpiral>,
L<Math::PlanePath::OneOfEight>,
L<Math::PlanePath::HTree>

L<Math::NumSeq::PlanePathCoord>,
L<Math::NumSeq::PlanePathDelta>,
L<Math::NumSeq::PlanePathTurn>,
L<Math::NumSeq::PlanePathN>

L<math-image>, displaying various sequences on these paths.

F<examples/numbers.pl>, to print all the paths.

=head2 Other Ways To Do It

L<Math::Fractal::Curve>,
L<Math::Curve::Hilbert>,
L<Algorithm::SpatialIndex::Strategy::QuadTree>

PerlMagick (module L<Image::Magick>) demo scripts F<lsys.pl> and F<tree.pl>

=head1 HOME PAGE

L<http://user42.tuxfamily.org/math-planepath/index.html>

L<http://user42.tuxfamily.org/math-planepath/gallery.html>

=head1 LICENSE

Copyright 2010, 2011, 2012, 2013, 2014 Kevin Ryde

This file is part of Math-PlanePath.

Math-PlanePath 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-PlanePath 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-PlanePath.  If not, see <http://www.gnu.org/licenses/>.

=cut


#------------------------------------------------------------------------------
# Maybe:
#
# ($x,$y) = $path->xy_start()   x,y at n_start

# ($depth,$offset) = $path->tree_n_to_depth_and_offset
#
# $bool = $path->rect_to_n_range_is_always_exact()
# $bool = $path->tree_n_to_subheight_is_infinite()
#    identifying the infinite spines only
#
# tree_n_ordered_children() $n and undefs
#   SierpinskiTree,ToothpickTree left and right
#   OneOfEight 3 from horiz, 5 from diag
#
# gcdxy_minimum
# gcdxy_maximum
# mulxy_minimum
# trsquared_minimum
# trsquared_minimum
#
# ring_to_n_range()   2^(k-1) to 2^k-1  koch peaks
# ($x1,$y1, $x2,$y2) = n_to_rect($n)     integer points
# ($s1,$s1, $d2,$d2) = n_to_diamond($n)     integer points
#      cf fractional part Diagonals outside integer area
# n_to_figure_boundary
# n_to_hull_boundary
# n_to_hull_area
# n_to_enclosed_area
# n_to_enclosed_boundary
# n_to_right_enclosed_boundary