In these lectures we have discussed the rigidity of random and self-organized networks. We find that there is a single transition from floppy to rigid in random networks, but an intermediate phase intervenes in the self-organized networks. This intermediate phase is rigid but contains no redundant bonds and so is stress-free. These idealized models of glassy networks can give us insights into real glasses, and this is discussed at length by P. Boolchand in his lectures. It should be remembered that adding the weaker interactions that we have ignored will round out any second order phase transitions. We should like to thank D.J. Jacobs for his many contributions to the "pebble game" algorithm and to the US National Science Foundation for support under grant numbers DMR-9632182 and CHE-9224102.
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