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arXiv · 1804.06577

Fundamental domains for rhombic lattices with dihedral symmetry of order 8

Joseph Ray Clarence G. Damasco·Dirk Frettlöh·Manuel Joseph C. Loquias
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Abstract

We show by construction that every rhombic lattice $Γ$ in $\mathbb{R}^{2}$ has a fundamental domain whose symmetry group contains the point group of $Γ$ as a subgroup of index $2$. This solves the last open case of a question raised in [3] on fundamental domains for planar lattices whose symmetry groups properly contain the point groups of the lattices.

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Joseph Ray Clarence G. Damasco, Dirk Frettlöh, Manuel Joseph C. Loquias. 2019-06-06. Fundamental domains for rhombic lattices with dihedral symmetry of order 8. https://arxiv.org/abs/1804.06577

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