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making frameworks rigid
Posted:
Sep 27, 1994 4:23 PM


I want to pose a question to subscribers. There is a lovely theorem in graph theory about the number and positions of braces required to make rigid a planar framework of squares. Construct a bipartitie graph whose partite sets are rows and the columns of the framework. Each brace becomes an edge. If the resulting graph is connected, then the framework is rigid. My question is about 3 and higher dimension frameworks. Is the space diagonal brace of a cubical framework enough to make it rigid? For a reference, see page 46 of the MAA paperback Graphs and Their Uses by Ore and Wilson. Thanks. Harold Reiter
Harold B. Reiter, Dept. of Math., UNCCharlotte, 28223 internet: fma00hbr@unccvm.uncc.edu; phone 7045474561 fax 7045473218;



