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There are at least 15 classes of convex pentagonal tilings, as illustrated above. The first five were discovered during investigations of German mathematician Karl Reinhardt ...
A cupola adjoined to a rotunda.
A gyrobicupola is a bicupola in which the bases are in opposite orientations.
A birotunda in which the bases are in opposite orientations.
A cupolarotunda in which the bases are in opposite orientations.
A bicupola in which the bases are in the same orientation.
A cupolarotunda in which the bases are in the same orientation.
The property of being the only possible solution (perhaps modulo a constant, class of transformation, etc.).
The cross polytope beta_n is the regular polytope in n dimensions corresponding to the convex hull of the points formed by permuting the coordinates (+/-1, 0, 0, ..., 0). A ...
"Escher's solid" is the solid illustrated on the right pedestal in M. C. Escher's Waterfall woodcut (Bool et al. 1982, p. 323). It is obtained by augmenting a rhombic ...
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