Does anybody know of a book containing "all you want to know about the tetrahedron"? What you want to know should include basic geometry of the tetrahedron, study of orthocentric tetrahedra, the Monge point, various volume / edge length / face area formulae, volume via the Cayley-Menger determinant, the regular tetrahedron, etc.


The wikipedia page for "tetrahedron" is fairly interesting, but it will never treat things with the same level of detail as a textbook.



Book on the tetrahedron
Asking Math Reviews for books with "tetrahedr\*" in the title turned up a couple of possibilities. 


Anđelko Marić, Tetrahedron. Definitions, theorems, formulas, problems. Translated by Juraj Šiftar. Publishing House ELEMENT, Zagreb, 2010. 176 pp. ISBN: 978-953-197-580-3, MR2963754. 


Kesiraju Satyanarayana, Angles and in- and ex-elements of triangles and tetrahedra. Studies in coordinate geometry with introductory results on determinants, linear equations, change of reference simplex, tetrahedra, etc. Bangalore Press, Bangalore City 1962 xiii+135 pp, MR0157268 (28 #504).


Also, this, but with no further information given: 


Dov Jarden, The tetrahedron: A collection of papers. Published by the author, Jerusalem 1963 41 pp, MR0149341 (26 #6831). 


