Strange rotope (no ontology)

From Hi.gher. Space

A strange rotope is a rotope which has more than one group inside any group in the group notation definition of the rotope, or has a group following a superscript letter inside any group.

Primary strange rotopes are marked by red lines on the rotope construction chart. Secondary strange rotopes are rotopes constructed from another strange rotope, and are not marked by red lines unless they are also primarily strange as well (a phenomenon that will only occur in six dimensions or higher).

Strange rotopes are often missed in finding lists of rotopes, due to their behaviour (and hence the name); the rotope construction chart on this wiki was revised about four times due to neglected strange rotopes.

It can be difficult to find systematic names for the more complex strange rotopes. For example, Rotope 115 has yet to be assigned a name, since the current method of forming a systematic name for a strange rotope breaks down when it is made up of multi-word roots (in this case, "triangle" and "triangular tor" would give a systematic name of "duotriangular torinder" which is completely wrong; the shape is not a torinder, nor is it constructed from the Cartesian product of two triangles (and this shape is not even a rotope). The duotriangular torinder is actually a six-dimensional shape which is not a rotope and has the CSG notation of (LT*LT)QE).

Strange rotopes always appear in pairs: one ending with the suffix "-inder", and one ending with the suffix "-intigroid". The "-intigroid" of a pair always has a rotopic index of one higher than the "-inder" of that pair.

The lowest-dimensional strange rotopes are the two pairs: cyltrianglinder and cyltrianglintigroid, and duocylinder and tiger, the tiger having a non-systematic name and also being the root of the "-intigroid" suffix.