Bravais lattices in four-dimensional space

In four dimensions, there are 52 Bravais lattices. Of these, 21 are primitive and 31 are centered.

Mackay AL and Pawley GS (1963). "Bravais Lattices in Four-dimensional Space". Acta. cryst. 16: 11–19. doi:10.1107/S0365110X63000037