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An Embedded Flexible Polyhedron with Nonconstant Dihedral Angles. / Alexandrov, V. A.; Volokitin, E. P.

In: Siberian Mathematical Journal, Vol. 65, No. 6, 11.2024, p. 1259-1280.

Research output: Contribution to journal › Article › peer-review

Harvard

Alexandrov, VA & Volokitin, EP 2024, 'An Embedded Flexible Polyhedron with Nonconstant Dihedral Angles', Siberian Mathematical Journal, vol. 65, no. 6, pp. 1259-1280. https://doi.org/10.1134/S003744662406003X

APA

Alexandrov, V. A., & Volokitin, E. P. (2024). An Embedded Flexible Polyhedron with Nonconstant Dihedral Angles. Siberian Mathematical Journal, 65(6), 1259-1280. https://doi.org/10.1134/S003744662406003X

Vancouver

Alexandrov VA, Volokitin EP. An Embedded Flexible Polyhedron with Nonconstant Dihedral Angles. Siberian Mathematical Journal. 2024 Nov;65(6):1259-1280. doi: 10.1134/S003744662406003X

Author

Alexandrov, V. A. ; Volokitin, E. P. / An Embedded Flexible Polyhedron with Nonconstant Dihedral Angles. In: Siberian Mathematical Journal. 2024 ; Vol. 65, No. 6. pp. 1259-1280.

BibTeX

@article{45b06bda2fd043a4aa66710726b3bb2b,
title = "An Embedded Flexible Polyhedron with Nonconstant Dihedral Angles",
abstract = "We construct some sphere-homeomorphic flexible self-intersection-free polyhedronin Euclidean 3-space whose all dihedral angles change during some flex.The polyhedron has 26 vertices, 72 edges, and 48 faces.To study the properties of the polyhedron, we use traditional geometric constructions andreasoning as well as symbolic calculations in the Wolfram Mathematica software system.",
keywords = "514.1, Euclidean 3-space, dihedral angle, flexible polyhedron, segment-triangle intersection algorithm, short diagonal",
author = "Alexandrov, {V. A.} and Volokitin, {E. P.}",
year = "2024",
month = nov,
doi = "10.1134/S003744662406003X",
language = "English",
volume = "65",
pages = "1259--1280",
journal = "Siberian Mathematical Journal",
issn = "0037-4466",
publisher = "MAIK NAUKA/INTERPERIODICA/SPRINGER",
number = "6",

}

RIS

TY - JOUR

T1 - An Embedded Flexible Polyhedron with Nonconstant Dihedral Angles

AU - Alexandrov, V. A.

AU - Volokitin, E. P.

PY - 2024/11

Y1 - 2024/11

N2 - We construct some sphere-homeomorphic flexible self-intersection-free polyhedronin Euclidean 3-space whose all dihedral angles change during some flex.The polyhedron has 26 vertices, 72 edges, and 48 faces.To study the properties of the polyhedron, we use traditional geometric constructions andreasoning as well as symbolic calculations in the Wolfram Mathematica software system.

AB - We construct some sphere-homeomorphic flexible self-intersection-free polyhedronin Euclidean 3-space whose all dihedral angles change during some flex.The polyhedron has 26 vertices, 72 edges, and 48 faces.To study the properties of the polyhedron, we use traditional geometric constructions andreasoning as well as symbolic calculations in the Wolfram Mathematica software system.

KW - 514.1

KW - Euclidean 3-space

KW - dihedral angle

KW - flexible polyhedron

KW - segment-triangle intersection algorithm

KW - short diagonal

UR - https://www.scopus.com/record/display.uri?eid=2-s2.0-85209387676&origin=inward&txGid=fe89343b961f1eb6b3160024e2432e7e

UR - https://www.mendeley.com/catalogue/41da9101-2c06-30fe-b1f6-249db3e3c9bc/

U2 - 10.1134/S003744662406003X

DO - 10.1134/S003744662406003X

M3 - Article

VL - 65

SP - 1259

EP - 1280

JO - Siberian Mathematical Journal

JF - Siberian Mathematical Journal

SN - 0037-4466

IS - 6

ER -

ID: 61105264