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A cupolarotunda in which the bases are in opposite orientations.

Johnson solid J_(24).

Johnson solid J_(47).

Johnson solid J_(23).

Johnson solid J_(44).

The vectors +/-a_1, ..., +/-a_n in a three-space form a normalized eutactic star iff Tx=x for all x in the three-space.

A curve and its polar reciprocal with regard to the fixed conic have the same Halphen transformation.

A system of variables which can be written in the form of Hamilton's equations.

The rules for the multiplication of quaternions.

Objects which are identical except for a mirror reflection are said to display handedness and to be chiral.