We prove that Platonic and some Archimedean polyhedra have the fixed point property in a non-classical sense.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ba61-3-8,
author = {Dariusz Miklaszewski},
title = {Fixed Points of Maps of Sets of Polyhedra into the Disc},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
volume = {61},
year = {2013},
pages = {263-275},
zbl = {1293.55002},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba61-3-8}
}
Dariusz Miklaszewski. Fixed Points of Maps of Sets of Polyhedra into the Disc. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 61 (2013) pp. 263-275. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba61-3-8/