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Regularity in irregular echinoids. (English) Zbl 0993.92003
Summary: Using the mathematical concept of eutactic star, we prove that it is possible to define a morphospace for irregular echinoids by using a single parameter. In particular, we have found an extraordinary geometric property in the flower-like patterns of the five ambulacral petals of these animals. This property is fulfilled with great accuracy for a large collection of fossil specimens and provides new insights in the study of the viable skeletal designs of extinct and/or living organisms.

MSC:
92B99 Mathematical biology in general
52B99 Polytopes and polyhedra
92C15 Developmental biology, pattern formation
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