Various results on the R5 dragon curve, including coordinates, area, boundary, enclosure sequence, convex hull, centroid, moment of inertia, area trees, and some fractionals. Also some results on the quartet curve and tree which are a similar base.
Read draft 10,
"Draft" here means believed correct as far as it goes but with variable quality and more to come. The LaTeX source uses PGF for pictures.
Document copyright 2014, 2015, 2016, 2017, 2018, 2019, 2020 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 various generator and development
programs which are all
GPLv3 up. They're
mostly Perl and a bit rough. Modules variously used include
(some debs in my repo). The document has
self-tests with Pari/GP and my
functions are extracted to a
devel/r5dragon-defines.gp which is
highly specific to the document but might be of interest for experimenting.
(Needs GP 2.9 up for some things.)
QuintetCurve for Perl code
implementing curve coordinate calculations. The corresponding
sections of the PlanePath image gallery have some pictures.
(And yes, "Quintet" in the module name
QuintetCurve was a mistake
calls Quartet, even if quintet may better hint at the base-5 nature.)
This page Copyright 2014, 2015, 2016, 2017, 2018, 2019, 2020 Kevin Ryde.
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