Math

Circle packing

Compare square and staggered lattices in finite squares. Counts include only discs entirely inside the boundary. The infinite-lattice density is a reference, not a claim of optimal finite packing.

By Mykhailo Makarov

Actual application image

What happens

Compare square and staggered lattices in finite squares. Counts include only discs entirely inside the boundary. The infinite-lattice density is a reference, not a claim of optimal finite packing. Click an outlined slot in either tray or in the top view. Add a few disks, then complete both layouts. Change L and compare their boundary losses. Right drag rotates; the wheel zooms.

Try this

Click an outlined slot in either tray or in the top view. Add a few disks, then complete both layouts. Change L and compare their boundary losses. Right drag rotates; the wheel zooms.

Equations used in the module

Equations
η∞ = π/(2√3)

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