Lozenges and Löschian numbers
These pictures come from the recent paper A lozenge triangulation of the plane with integers by Raghavendra N. Bhat, Cristian Cobeli, and Alexandru Zaharescu. The key property of the tilings is that in any lozenge-shaped cluster of four numbers, the two numbers on the long diagonal add up to one more than the two numbers on the short diagonal. For examp…
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