Various results on the terdragon curve, including coordinates, area, boundary, enclosure sequence, convex hull, centroid, moment of inertia, some trees, fractionals, and some results on the alternate terdragon curve.
Read draft 15,
"Draft" here means believed correct as far as it goes but the quality a little variable and more material to be added. Section numbers and theorem numbers will change. The LaTeX source uses PGF for the pictures.
Document copyright 2014, 2015, 2016, 2017, 2018, 2019, 2020, 2021 Kevin Ryde. Permission is granted for anyone to make a copy for the purpose of reading it. Permission is granted for anyone to make a full complete verbatim copy, nothing added, nothing removed, nothing overlaid, for any purpose. The PDF rendition contains fonts which are Copyright American Mathematical Society and licensed under the Open Font License.
.tar.gz includes generator and development programs
which are all GPLv3
up. They're mostly Perl and a bit rough. The document has some
self-tests in Pari/GP and its
functions are extracted to a
devel/terdragon-defines.gp which is
highly specific to the document but might be of interest for experimenting.
See Math::PlanePath::TerdragonCurve for Perl code implementing curve coordinate calculations. The corresponding TerdragonCurve section of the PlanePath image gallery has some pictures.
This page Copyright 2014, 2015, 2016, 2017, 2018, 2019, 2021 Kevin Ryde.
(Back to the sitemap.)