FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2005, VOLUME 11, NUMBER 4, PAGES 203-211

**Wild tiles in $$****R**^{3} with
spherical boundaries

T.-M. Tang

Abstract

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Wildly embedded tiles in $$**R**^{3} with
spherical boundary are discussed.
The construction of the topologically complicated, crumpled cube tiles
is reviewed.
We construct an infinite family of wildly embedded, cellular tiles
with Fox--Artin-type wild points.
Finally, a condition on the set of wild points on a cellular
tile is given to show that certain wild cells cannot be tiles.
Several observations are recorded for further investigations.

Location: http://mech.math.msu.su/~fpm/eng/k05/k054/k05416h.htm

Last modified: November 25, 2005