Publications in Scientific Journals:
O. Karpenkov, C. Müller:
"Geometric criteria for realizability of tensegrities in higher dimensions";
SIAM Journal on Discrete Mathematics,
35
(2021),
2;
637
- 660.
English abstract:
In this paper we study a classical Maxwell question on the existence of self-stresses for frameworks, which are called tensegrities. We give a complete answer on geometric conditions of at most $(d+1)$-valent tensegrities in $d$-dimensional space both in terms of discrete multiplicative 1-forms and in terms of "join" and "intersection" operations in projective geometry.
"Official" electronic version of the publication (accessed through its Digital Object Identifier - DOI)
http://dx.doi.org/10.1137/19M1281903
Electronic version of the publication:
https://arxiv.org/pdf/1907.02830.pdf
Created from the Publication Database of the Vienna University of Technology.