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What's the advantage of ${\displaystyle 5+{\frac {1}{4}}{\sqrt {1900+490{\sqrt {5}}+210{\sqrt {75+30{\sqrt {5}}}}}}}$ over ${\displaystyle 5+{\frac {15}{4}}{\sqrt {3}}+{\frac {7}{4}}{\sqrt {25+10{\sqrt {5}}}}}$ ? — Tamfang ( talk) 03:00, 26 July 2010 (UTC) reply

The difference [from the orthocupolarotunda] is that in this solid, the two halves are rotated 36 degrees with respect to one another.

Rotated from what? What's the natural alignment of two dissimilar bodies? I'm guessing that it's about whether the two pentagons on the axis of rotation are parallel or antiparallel; if so, let's say so. — Tamfang ( talk) 22:02, 30 September 2014 (UTC) reply