**
Journal for Geometry and Graphics, Vol. 5, No. 2, pp. 133-144 (2001)
**

#
Periodic and Aperiodic Figures on the Plane by Higher Dimensions

##
Emil Molnar, Tilman Schulz, Jenö Szirmai

Department of Geometry, Budapest University of Technology and

Economics, Egry Jozsef ut 1, H.22.,

H-1111 Budapest XI, Hungary

emails: emolnar@mail.bme.hu, tilman@momo.math.rwth-aachen.de

**Abstract:** We extend de Bruijn's idea of constructing Penrose's non-periodic tilings of the plane to higher-dimensional analogons. On the base of $d$-dimensional space groups we can draw nice aperiodic coloured plane tilings with the aid of computers, especially interesting ones if d+1 is prime. Our proposed probabilistic method seems to produce attractive pictures, in particular.

**Keywords:** higher-dimensional space groups, two-dimensional projection, aperiodic tiling

**Classification (MSC2000):** 52C22; 52C23

**Full text of the article will be available in mid of 2003.**

[Previous Article] [Next Article] [Contents of this Number]

*
© 2002 ELibM for
the EMIS Electronic Edition
*