Inputs

Set the geometry

Choose a unit, set the geometry, then calculate. The tool compares several non-overlapping layout families.

Changing unit converts all dimensions; calculate to refresh the result.

Spacing input
Edge gap and pitch measurement diagram Two equal circles showing pitch measured from center to center, edge gap measured between witness lines at the nearest circle edges, and diameter measured through a circle center. Pitch p Gap g Diameter d p = d + g
Pitch p is measured center-to-center. Edge gap g is the clear edge-to-edge distance between neighboring circles.
d
mm

g
mm

Clear edge-to-edge distance.

D
mm

z
mm

Radial no-placement band; 0 means none.

Pitch = diameter + gap. The selected gap applies between small circles. Deadzone z is an unusable ring inside the big circle. No small circle may enter it. Usable diameter = D − 2z; enter 0 for no deadzone.

Ready to calculate.

Packing view

Packing result

No calculation submitted yet.

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Select Calculate packing to draw the layout.
No layout to display.
Circles —
Pitch —
Area filled —
Boundary clearance —

Calculate a valid result to enable PNG export.

Maximum found. The tool selects the highest valid count found across translated triangular and square lattices, concentric rings, and ring-plus-lattice hybrids. This numerical search does not prove the unrestricted global optimum.