Оригінал: https://www.math.stonybrook.edu/~tony/bintet/vertices.html

Елементи шостого порядку: +/-a, +/-a^2, +/-b, +/-b^2, +/-c, +/-c^2, +/-d, +/- d^2, де

a = (1/2) ( 1- i- j- k),
b = (1/2) ( 1- i+ j+ k),
c = (1/2) ( 1+ i- j+ k),
d = (1/2) ( 1+ i+ j- k).

Елементами четвертого порядку є +/- i, +/- j, +/- k;
1 і - 1 завершують список з 24 елементів.

(Див. Кватерніонне представлення бінарної групи тетраедра для виведення цих елементів із симетрій тетраедра.)

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