The classic kaleidoscope is made from two mirrors, inclined at pi/3 or pi/4; but
the general kaleidoscope can take many forms. Given a (horizontal) right
triangle of angles pi/2, pi/3, and pi/6 (90, 60, and 30 degrees), place
vertical mirrors upon the three sides.This "trihedral" kaleidoscope induces an
infinite tessellation, actually, quite a number of regular and semi-regular
tessellations can arise. In this image, triangular base has a spiral pattern,
and one cylinder lies upon the hypotenuse of the base.

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