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24 J. S. Hanan. PLANTWORKS: A software system for realistic plant modelling. Master's thesis, University of Regina, 1988. 25 J. S. Hanan. Parametric L-systems and their application to the modelling and visualization of plants. PhD thesis, University of Regina, June 1992. 26 G. T. Herman and W. H. Liu. The daughter of CELIA, the French ag, and the ring squad. Simulation, 21:33 41, 1973. 27 G. T. Herman and G. Rozenberg. Developmental systems and languages. North-Holland, Amsterdam, 1975. 28 G. T.

Productions p3 to p7 specify the mechanism of the tree's response to pruning. P x; y; z, and creates pruning signal T . Next, p4 removes the last internode of the pruned branch and initiates bud-activating signal S , which is propagated basipetally by productions p5 and p6. Px,y,z. 27 Figure 25: A model of the topiary garden at Levens Hall, England 28 Figure 26: A simple model of a climbing plant The parameter value assigned by production p7 to apex A is derived as follows. According to production p2 , both parameters associated with a newly created bud B  are set to the age of the tree at the time of bud creation expressed as the the number of derivation steps.

1 INTRODUCTION Computer modeling and visualization of plant development can be traced back to 1962, when Ulam applied cellular automata to simulate the development of branching patterns, thought of as an abstract representation of plants [53]. ca) j mayer proposed the formalism of L-systems as a general framework for plant modeling [38, 39], and Honda introduced the first computer model of tree structures [32]. From these origins, plant modeling emerged as a vibrant area of interdisciplinary research, attracting the efforts of biologists, applied plant scientists, mathematicians, and computer scientists.

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