Published June 27, 2019 | Version v1
Conference paper Open

Animated Motions of Exceptional Flexible Instances of Generically Rigid Graphs

Creators

  • 1. Johann Radon Institute for Computational and Applied Mathematics (RICAM), Austrian Academy of Sciences
  • 2. Research Institute for Symbolic Computation (RISC), Johannes Kepler University Linz

Description

In this paper we use a recent algorithm for finding flexible realizations of graphs. In particular we consider generically rigid graphs that have special non-generic instances in which edge lengths can be found such that we get a continuous motion. The graphs we present have a symmetric structure and allow flexible unit distance realizations.

Notes

This entry contains the paper (see below the preview) and animations in svg file format collected in a zip file.

Original publication available at https://archive.bridgesmathart.org/2019/bridges2019-255.html

Files

Animations.zip

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Additional details

Related works

Is part of
Book: 978-1-938664-30-4 (ISBN)
1099-6702 (ISSN)

Funding

The Algebra of Motions in 3-Space P 31061
FWF Austrian Science Fund
Computational Mathematics: Numerical Analysis and Symbolic Computation W 1214
FWF Austrian Science Fund
Realizations of Rigid Graphs P 31888
FWF Austrian Science Fund
ARCADES – Algebraic Representations in Computer-Aided Design for complEx Shapes 675789
European Commission