Allometric relations in plant growth
Allometric relations Y = aXb are shown to exist in phyllotaxis, under the form r = k log R = p (β)(m + n)−2 , where r = Y is the normalized internode distance in the cylindrical representation of phyllotaxis and R is the plastochrone ratio in the centric representation, p(β)=a is a constant for every angle of intersection β of the opposed parastichies of the visible pair (m, n), for every m and n, and for all possible limit divergence angles corresponding to the Fibonacci-type sequences..., m−n, n, m, m + n=X, 2m + n, ..., and where b=−2. Richards' phyllotaxis index will be deduced.