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This article is cited in 6 scientific papers (total in 6 papers)
Classification of closed minimal networks on tetrahedra
I. V. Ptitsyna
Abstract:
A complete description is obtained of the closed locally minimal networks on quasiregular tetrahedra. It is shown that on quasiregular tetrahedra the sets of closed locally minimal networks have the same structure as on flat 2-dimensional tori.
The paper describes the set of all quasiregular tetrahedra on which there exist closed locally minimal networks of a specified type. In the other direction, it describes the set of all closed minimal networks on a given quasiregular tetrahedron.
Received: 20.07.1993
Citation:
I. V. Ptitsyna, “Classification of closed minimal networks on tetrahedra”, Mat. Sb., 185:5 (1994), 119–138; Russian Acad. Sci. Sb. Math., 82:1 (1995), 101–116
Linking options:
https://www.mathnet.ru/eng/sm899https://doi.org/10.1070/SM1995v082n01ABEH003554 https://www.mathnet.ru/eng/sm/v185/i5/p119
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Abstract page: | 348 | Russian version PDF: | 117 | English version PDF: | 11 | References: | 58 | First page: | 1 |
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