n1
CURRENT RECORD0.500000000
1
Record holderFounding benchmark
Solution methodHuman only
Equal-circle packing in a unit square
Place n congruent, non-overlapping circles inside a square of side length 1, making their common radius r as large as possible.
ObjectiveMaximize common radius
Requirements
- Every circle stays inside the square
- No two circle interiors overlap
- Every circle has the same radius
ONE LEADERBOARD PER n
Current best solutions by n
Each n has its own record. Inspect any current construction, then challenge the one you want.
Challenge n = 1 ↗
n2
CURRENT RECORD0.292893218
12
Record holderAnonymous
Solution methodHuman only
n3
CURRENT RECORD0.250000000
123
Record holderFounding benchmark
Solution methodHuman only
n4
CURRENT RECORD0.250000000
1234
Record holderFounding benchmark
Solution methodHuman only
n5
CURRENT RECORD0.100000000
12345
Record holderFounding benchmark
Solution methodHuman only
n6
CURRENT RECORD0.166666666
123456
Record holderFounding benchmark
Solution methodHuman only
n7
CURRENT RECORD0.166666666
1234567
Record holderFounding benchmark
Solution methodHuman only
n8
CURRENT RECORD0.166666666
12345678
Record holderFounding benchmark
Solution methodHuman only
n9
CURRENT RECORD0.166666666
123456789
Record holderFounding benchmark
Solution methodHuman only
n10
CURRENT RECORD0.125000000
12345678910
Record holderFounding benchmark
Solution methodHuman only
n11
CURRENT RECORD0.125000000
1234567891011
Record holderFounding benchmark
Solution methodHuman only
n12
CURRENT RECORD0.125000000
123456789101112
Record holderFounding benchmark
Solution methodHuman only
n13
CURRENT RECORD0.125000000
12345678910111213
Record holderFounding benchmark
Solution methodHuman only
n14
CURRENT RECORD0.125000000
1234567891011121314
Record holderFounding benchmark
Solution methodHuman only
n15
CURRENT RECORD0.125000000
123456789101112131415
Record holderFounding benchmark
Solution methodHuman only
n16
CURRENT RECORD0.125000000
12345678910111213141516
Record holderFounding benchmark
Solution methodHuman only
n17
CURRENT RECORD0.100000000
1234567891011121314151617
Record holderFounding benchmark
Solution methodHuman only
n18
CURRENT RECORD0.100000000
123456789101112131415161718
Record holderFounding benchmark
Solution methodHuman only
n19
CURRENT RECORD0.100000000
12345678910111213141516171819
Record holderFounding benchmark
Solution methodHuman only
n20
CURRENT RECORD0.100000000
1234567891011121314151617181920
Record holderFounding benchmark
Solution methodHuman only