Abstract: Various properties of finite iterations of the alternate paperfolding curve, including coordinates, boundary, area, twin alternate, area tree, and some fractionals.
Read draft 4,
"Draft" here means believed correct as far as it goes but with variable quality in places and more to come. The LaTeX source uses PGF for pictures.
Document copyright 2017 Kevin Ryde. Permission is granted for anyone to make a copy for the purpose of reading it. The PDF rendition contains fonts which are Copyright American Mathematical Society and licensed under the open font license.
.tar.gz includes various generator and development
programs which are all
GPLv3 up. They're
mostly Perl and a bit rough. Modules variously used include
Graph (some debs
in my repo). The document has self-tests with
Pari/GP and my
functions are extracted to a
devel/alternate-defines.gp which is
highly specific to the document but might be of interest for experimenting.
(Needs GP 2.9 up for some things.)
See Math::PlanePath::AlternatePaper for Perl code implementing curve coordinate calculations. The corresponding AlternatePaper section of the PlanePath image gallery has some pictures.
This page Copyright 2017 Kevin Ryde.
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