386 | 35 RADIOlARIA: VAlIDATING THE TURING THEORy
figure 35.4 Circogonia icosahedra
with twelve spines and twenty faces.
Reproduced from Bernard Richards, ‘The
morphogenesis of Radiolaria’, MSc Thesis,
University of Manchester, 1954, with thanks
to Dr Richard Banach. Original image taken
from Ernst Haeckel, Report of the Scientific
Results of the Voyage of H.M.S. Challenger
During the Years 1873–76, Volume 18.figure 35.5 Circorrhegma
dodecahedra with twenty spines and
twelve faces.
Reproduced from Bernard Richards, ‘The
morphogenesis of Radiolaria’, MSc Thesis,
University of Manchester, 1954, with thanks
to Dr Richard Banach. Original image taken
from Ernst Haeckel, Report of the Scientific
Results of the Voyage of H.M.S. Challenger
During the Years 1873–76, Volume 18.The part played by the manchester computer
Once I had obtained a mathematical solution for Turing’s equation, the next step was to dis-
cover what three-dimensional shape the solution represented. This is not an easy thing to
do, because the equation giving the shape in three dimensions involves three coordinates, r
(the distance), θ (the latitude), and φ (the longitude), and one could not visualize the shape