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Acta Cryst. (2008). A64, C149
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The (n,d)-dimensional superspace crystallography is extended to include n-dimensional crystallographic point groups and not only those isomorphic to finite subgroups of the orthogonal group O(d), with d the physical dimension.

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The architecture of four protein cages (bacterio ferritin, human mitochondrial ferritin, sulfur oxygenase reductase and small heat-shock protein) are compared top-to-bottom, starting from polyhedra with vertices at cubic lattice points enclosing the cage down to indexed polyhedral forms of single monomers.

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The structural elements of four octahedral holoenzymes (bacterio and mitochondrial ferritins, small heat-shock protein and sulfur oxygenase reductase) are considered in a bottom-to-top approach. The vertices of the monomeric enclosing forms at points of a cubic lattice, ordered according to the primary structure, appear to delimit the secondary structural elements and play a role in the ternary structure. Connectivity models of these indexed forms suggest possible self-assembly processes in the formation of the quaternary structure.
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