Ambiguous rotope (no ontology)
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The lowest-dimensional ambiguous rotopes are the four-dimensional [[triangular toric pyramid]] and [[toric pyramid]]. | The lowest-dimensional ambiguous rotopes are the four-dimensional [[triangular toric pyramid]] and [[toric pyramid]]. | ||
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Revision as of 18:40, 18 June 2007
An ambiguous rotope is a rotope which is tapered after attaining a nonzero genus. In other words, if, in the group notation definition of the rotope, there is a superscript letter after a level 2 or higher nested group, the rotope is ambiguous.
The genus of an ambiguous rotope cannot be determined. The apex of an ambiguous rotope is both included and excluded from the set of points defining the rotope. If the apex is included, the genus is zero, but if it is excluded, the genus is one. Additionally, some ambiguous rotopes can have multiple apexes, and the problem gets more severe still.
The lowest-dimensional ambiguous rotopes are the four-dimensional triangular toric pyramid and toric pyramid.
