A Primer of Higher Space

Builds squares, pentagons, conic sections and regular polyhedra using nothing but folded paper. The exercises make the constructions physical, which is why the book keeps getting reprinted.

T. Sundara Row

Books X to XIII in Heath's translation, ending with the construction of the five Platonic solids and the proof that there are no others. Heath's commentary explains every step and its history.

Euclid, translated by Thomas L. Heath

Ball's classic gathering of puzzles, constructions and mathematical curiosities, with chapters on polyhedra, magic squares, the geometry of chessboards and the history of squaring the circle.

W. W. Rouse Ball