Tapertopic notation (InstanceTopic, 3)

From Hi.gher. Space

Revision as of 19:52, 22 November 2009 by Hayate (Talk | contribs)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

Tapertopic notation is a notation developed to represent tapertopes. Each digit represents a hypersphere, square brackets represent a Cartesian product, and a superscript n indicates n consecutive taperings. Unlike rotopic digit and group notations, superscripts apply only to the group or digit immediately preceding them, not to the entire string up to that point. This simplifies the necessary groupings and enables the string to be rearranged in any order.

In common with rotopic digit notation, the sum of the numbers in a shape's notation is equal to the shape's dimensionality. All rotatopes have the same string for their tapertopic notation and rotopic digit notation.