On the enumeration of the combinatorial types of primitive parallelohedra in Ed, 2 ≤ d ≤ 6

Baburin, I.A.; Engel, P.

doi:10.1107/S0108767313015572

On the enumeration of the combinatorial types of primitive parallelohedra in E^d, 2 ≤ d ≤ 6

The cone of positive-definite quadratic forms is subdivided into subcones of combinatorial types of primitive parallelohedra in E^d, 2 ≤ d ≤ 6. A new algorithm is described and recent results on the enumeration are given.

Keywords: parallelohedra; cone of positive-definite quadratic forms; subdivision.

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On the enumeration of the combinatorial types of primitive parallelohedra in Ed, 2 ≤ d ≤ 6

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On the enumeration of the combinatorial types of primitive parallelohedra in E^d, 2 ≤ d ≤ 6