Radiolarians are unicellular predatory
protists encased in elaborate globular shells (or "capsules"), usually made of silica and pierced with holes. Their name comes from the Latin for "radius". They catch prey by extending parts of their body through the holes. As with the silica frustules of diatoms, radiolarian shells can sink to the ocean floor when radiolarians die and become preserved as part of the ocean sediment. These remains, as
microfossils, provide valuable information about past oceanic conditions. File:Mikrofoto.de-Radiolarien 6.jpg|Like diatoms, radiolarians come in many shapes File:Theocotylissa ficus Ehrenberg - Radiolarian (34638920262).jpg|Also like diatoms, radiolarian shells are usually made of silicate File:Acantharian radiolarian Xiphacantha (Haeckel).jpg|However
acantharian radiolarians have shells made from
strontium sulfate crystals File:Spherical radiolarian 2.jpg|Cutaway schematic diagram of a spherical radiolarian shell File:Cladococcus abietinus.jpg|
Cladococcus abietinus {{Quote box |title = |quote = So I set to work on seeking a solution to the Morphogenesis Equations on a sphere. The theory was that a spherical organism was subject to diffusion across its surface membrane by an alien substance, eg sea-water. The Equations were: :\frac{\partial \mathbf{U}}{\partial t} = \phi(\nabla^2) \mathbf{U} + G \mathbf{U}^2 - H\mathbf{U}V, :V = \mathbf{U}^2 The function \mathbf{U}, taken to be the radius vector from the centre to any point on the surface of the membrane, was argued to be representable as a series of normalised
Legendre functions. The algebraic solution of the above equations ran to some 30 pages in my Thesis and are therefore not reproduced here. They are written in full in the book entitled "Morphogenesis" which is a tribute to Turing, edited by P. T. Saunders, published by North Holland, 1992. The algebraic solution of the equations revealed a family of solutions, corresponding to a parameter n, taking values 2, 4. 6. When I had solved the algebraic equations, I then used the computer to plot the shape of the resulting organisms. Turing told me that there were real organisms corresponding to what I had produced. He said that they were described and depicted in the records of the voyages of HMS Challenger in the 19th Century. I solved the equations and produced a set of solutions which corresponded to the actual species of Radiolaria discovered by
HMS Challenger in the 19th century. That expedition to the Pacific Ocean found eight variations in the growth patterns. These are shown in the following figures. The essential feature of the growth is the emergence of elongated "spines" protruding from the sphere at regular positions. Thus the species comprised two, six, twelve, and twenty, spine variations. |source =
Bernard Richards, 2006 |align = right |width = 450px |border = }}
Diversity and morphogenesis Bernard Richards worked under the supervision of
Alan Turing (1912–1954) at Manchester as one of Turing's last students, helping to validate
Turing's theory of
morphogenesis. "Turing was keen to take forward the work that
D'Arcy Thompson had published in
On Growth and Form in 1917". File:Cromyatractus tetracelyphus.jpg|
Cromyatractus tetracelyphus with 2 spines File:Circopus sexfurcus.jpg|
Circopus sexfurcus with 6 spines File:Circopurus octahedrus.jpg|
Circopurus octahedrus with 6 spines and 8 faces File:Circogonia icosahedra.jpg|
Circogonia icosahedra with 12 spines and 20 faces File:Circorrhegma dodecahedra.jpg|
Circorrhegma dodecahedra with 20 (incompletely drawn) spines and 12 faces File:Cannocapsa stethoscopium.jpg|
Cannocapsa stethoscopium with 20 spines The gallery shows images of the radiolarians as extracted from drawings made by the German zoologist and polymath
Ernst Haeckel in 1887. • •
Richards, Bernard (2005-2006) "Turing, Richards and Morphogenesis",
The Rutherford Journal, Volume 1. ==Fossil record==