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An element of order 2 in a group (i.e., an element A of a group such that A^2=I, where I is the identity element).

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.

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.

The sporadic group HJ, also denoted J_2.