The original paper (long forgotten) is here:

**Ju.D. Burago, V.A. Zalgaller**, *Polyhedral embedding of a net*
(in Russian), Vestnik Leningrad. Univ. **15** (1960), 66-80.

A recent relatively simple solution:

**H. Maehara**, *Acute triangulations of polygons*,
European J. Combin. **23** (2002), 45-55.

I have my own solution, which is simpler than both of these but slightly more technical. Interestingly enough, if one allows right triangles there exit a plentiful literature:

**B.S. Baker, E. Grosse, and C.S. Rafferty**,
*Nonobtuse triangulation of polygons*,
Discrete Comput. Geom. **3** (1988), 147-168.

**M. Bern, D. Eppstein**, *Polynomial-size nonobtuse
triangulation of polygons*,
Internat. J. Comput. Geom. Appl. **2** (1992),
241-255; Errata 449-450.

**M. Bern, S. Mitchell, and J. Ruppert**,
*Linear-size nonobtuse triangulation of polygons*,
Discrete Comput. Geom. **14** (1995), 411-428.

**Note:** The last four papers are available on the
web. Try MathSciNet
and Google Scholar.

**P.S.** There are some attempts to generalize this results
to higher (well, 3...) dimension. In this case one would like
to make triangulations into tetrahedra with acute dihedral angles.
Unfortunately, the results are not strong enough to list them here.

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*Last updated 9/24/2005*