A Bowtie Symmetrohedron Featuring Twelve Decagons and Twenty Equilateral Triangles

Created using software you can try at http://www.software3d.com/stella.php.

Later edit:  I found this same polyhedron on another website, one that has been online longer than my blog, so I now for, for certain, that this was not an original discovery of my own. At http://www.cgl.uwaterloo.ca/~csk/projects/symmetrohedra/, it is named the “alternate bowtie dodecahedron” by Craig Kaplan and George W. Hart.