The rest can be got by " obvious cyclic symmetry "-this looks simpler.
2.
Rotational circular symmetry has all cyclic symmetry, Z " n " as subgroup symmetries.
3.
Cyclic symmetries in the middle column are labeled as "'g "'for their central gyration orders.
4.
The Cremona Richmond configuration also has a one-parameter family of realizations in the plane with order-five cyclic symmetry.
5.
The group type is one of the three symmetry group types in 3D without any pure rotational symmetry, see cyclic symmetries with " n " = 1.
6.
There are four series with no other axes of rotational symmetry ( see cyclic symmetries ) and three with additional axes of 2-fold symmetry ( see dihedral symmetry ).
7.
The length of the bisector from vertex A is 2 * b * c * cos ( A / 2 ) / ( b + c ), the others having an obvious cyclic symmetry . cos ( A / 2 ) can be found in terms of a, b and c, of course.
8.
The dihedral symmetries are divided depending on whether they pass through vertices ( "'d "'for diagonal ) or edges ( "'p "'for perpendiculars ) Cyclic symmetries in the middle column are labeled as "'g "'for their central gyration orders.
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