Henneberg moves on mechanisms

Bill Jackson, Tibor Jordán, Brigitte Servatius, Herman Servatius


A bar-and-joint framework in the plane with degree of freedom 1 is called a mechanism. It is well-known that the operations of 0-extension and 1-extension, the so called Henneberg moves, can always be performed on a framework so that its degree of freedom is preserved. It was conjectured by the first and second author in 2012 that for a mechanism in generic position these operations can be performed without restricting its motion. In this note we provide a counterexample.

Bibtex entry:

AUTHOR = {Jackson, Bill and Jord{\'a}n, Tibor and Servatius, Brigitte and Servatius, Herman},
TITLE = {Henneberg moves on mechanisms},
NOTE= {{\tt}},
INSTITUTION = {Egerv{\'a}ry Research Group, Budapest},
YEAR = {2014},
NUMBER = {TR-2014-04}

Last modification: 13.3.2018. Please email your comments to Tamás Király!