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New Zealand Mathematics Colloquium 2000
November 26-29, 2000
Dept of Mathematics, University of Waikato
Hamilton, New Zealand |
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Organizers
Kevin Broughan, Rua Murray, Ernie Kalnins, Stephen Joe
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Computer Approach to Ornamental Plaitwork
by
Tomaz Pisanski
University of Ljubljana
\bf Computer Approach to Ornamental Plaitwork
Computer Approach to Ornamental Plaitwork
Tomaz Pisanski
1
IMFM/TCS, University of Ljubljana
Jadranska 19, 1000 Ljubljana, SLOVENIJA
Tomaz.Pisanski@fmf.uni-lj.si
Abstract
Roman mosaics throughout the ancient world from Britain to Israel,
Celtic ornaments in the form of illuminated letters and stone crosses,
knotted ornaments of the 9-12th century found in Croatia, Slovenia
and other places in Europe, all share the same discrete structure
which we call a plaitwork. Such plaitworks were used as a
frame or a fill-in of various geometrical figures such as
rectangles, crosses etc. A computer program has been written that
enables us to generate sophisticated plaitwork structures by suitably
combining smaller plaitworks. Some generalizations and some interesting
mathematical questions will be discussed.
Footnotes:
1Supported in part by ``Ministrstvo za znanost in
tehnologijo Slovenije'', proj. no. J1-8901-0101-99 and
J2-8549-0101-99.
Part of computer programming was conducted while the
author was visiting Mathematics Department at the University of
Auckland, New Zealand.
Date received: September 28, 2000
Copyright © 2000 by the author(s).
The author(s) of this document and the organizers of the conference
have granted their consent to include this abstract in
Atlas Conferences Inc.
Document # caek-39.