# Complete scheme of four-dimensional crystallographic symmetry groups

@article{Palistrant2012CompleteSO, title={Complete scheme of four-dimensional crystallographic symmetry groups}, author={A. F. Palistrant}, journal={Crystallography Reports}, year={2012}, volume={57}, pages={471-477} }

One of the main problems of four-dimensional geometric crystallography is considered; i.e., the complete scheme of four-dimensional crystallographic symmetry groups is presented, and the number of symmetry groups characterizing the 12 different categories entering this scheme is indicated for each of these categories.

## 3 Citations

### Spatio-temporal symmetry - crystallographic point groups with time translations and time inversion.

- MathematicsActa crystallographica. Section A, Foundations and advances
- 2018

The crystallographic symmetry of time-periodic phenomena has been extended to include time inversion and one representative group from each of the 343 types has been tabulated.

### Investigation of 5D point symmetry groups with an invariant 3D plane and immobile point on it

- Mathematics
- 2013

To reveal the structure of 5D point symmetry groups with an invariant 3D plane and immobile point on it, we review in detail the catalog of 1208 3D point groups of ten rosette P-symmetries at P ≅…

### Relativistic spacetime crystals

- PhysicsActa crystallographica. Section A, Foundations and advances
- 2021

By appropriate reformulation of relativistic spacetime geometry, a direct mapping to Euclidean space crystals is shown and hidden symmetries in relativist spacetime crystals are uncovered.

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