The Gordian complex of theta-curves
Keyword(s):
In this paper, we study the Gordian metric on the set of all theta-curves and give a lower bound of it. We define the Gordian complex of theta-curves, which is a simplicial complex whose vertices consist of all theta-curves in the 3-dimensional Euclidean space [Formula: see text]. We show that for any given theta-curve [Formula: see text], there exists an infinite family of theta-curves containing [Formula: see text] such that the Gordian distance between any two distinct members of this family is equal to one.
1991 ◽
Vol 31
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pp. 181-191
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2019 ◽
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pp. 245-250
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1967 ◽
Vol 30
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pp. 121-127
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2006 ◽
Vol 21
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pp. 165-175
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2021 ◽
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Vol 37
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IEE Proceedings A Physical Science Measurement and Instrumentation Management and Education Reviews
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1986 ◽
Vol 133
(3)
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pp. 139
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