This thesis is mainly concerned with problems associated with the generation of new mobile solutions for multiloop networks, especially Kempe's linkages and their derivatives, both in the plane and in space. Chapter 1 is an introduction to the whole work. It gives a brief review of the I would like to thank all who have helped me in completing this work. In particular, I am grateful to my supervisor, Associate Professor J. Eddie Baker, for his invaluable guidance, helpful advice and

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... t throughout this work, and to Mr. D.J.S. Mudge, my acting supervisor when Professor Baker was on leave, for his valuable suggestions and help. My sincere thanks are extended to Associate Professor Jack Phillips of The Uni versity of Sydney, for his kind help and advice, and for allowing me to use his laboratory to make the physical models. Thanks are also to the staff of the School workshop for their assistance in fabri cating the models. I would as well like to express my special appreciation to the Chinese government. Without its financial assistance, it would have been impossible for me to carry out this study.