1954
DOI: 10.2307/3039634
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Critics and Criticism.

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Cited by 33 publications
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“…It relies on the following fundamental theorem on subgroups of a space group is known as Hermann's theorem (see Ref. 26).…”
Section: Computing Subgroupsmentioning
confidence: 99%
“…It relies on the following fundamental theorem on subgroups of a space group is known as Hermann's theorem (see Ref. 26).…”
Section: Computing Subgroupsmentioning
confidence: 99%
“…Indeed, every infinite discrete subgroup of E (3) which leaves a line invariant must be isomorphic to a quotient group N/F since any cylindrical pattern on which is acts transitively can be unfolded to a periodic transitive pattern in the plane, and every transitive cylindrical pattern must be a "quotient pattern." These "one-dimensional" subgroups of E(3) are known as rod groups; they were first investigated by Hermann [12]. They are usually described as extensions of Z by a finite subgroup of 0(3); in our formulation they are extension of Z x Ck by a cyclic or dihedral group P (see Section 4).…”
Section: The Discrete Rod Graphs and Cylindrical Patternsmentioning
confidence: 99%