The book is divided into two parts. The first part is a translation into English of A.V. Shubnikov's book Symmetry and antisymmetry of finite figures (Russian: Симметрия и антисимметрия конечных фигур) originally published in 1951. As the editor says in his preface, this book rekindled interest in the field of antisymmetry after a break of 20 years. The book defines symmetry elements, operations and groups; it then introduces the concept of antisymmetry, and derives the full set of dichromatic three-dimensional point groups. A paper entitled Antisymmetry of textures is appended to part 1; it analyzes the antisymmetry of groups containing infinity-fold axes.