%0 Journal Article %T Fundamental domains for properly discontinuous affine groups %A Ilia Smilga %J Mathematics %D 2013 %I arXiv %R 10.1007/s10711-013-9895-5 %X We construct a fundamental region for the action on the $2d+1$-dimensional affine space of some free, discrete, properly discontinuous groups of affine transformations preserving a quadratic form of signature $(d+1, d)$, where $d$ is any odd positive integer. %U http://arxiv.org/abs/1303.3766v2