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.