Abstract
The spatially periodic, steady-state solutions to systems of partial differential equations (PDE) are calledplanforms. There already exists a partial classification of the planforms for Euclidean equivariant systems of PDE inR2 (see [6, 7]), In this article we attempt to give such a classification for Euclidean equivariant systems of PDE inR3. Based on the symmetry and spatial periodicity of each planform, 59 different planforms are found.
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