What-is-the-maximum-number-of-points-to-be-distributed-within-a-3-6-to-ensure-that-there-are-no-two-points-whose-distance-apart-is-less-than-2-

Question Number 113353 by Aina Samuel Temidayo last updated on 12/Sep/20

What is the maximum number

of points to be distributed within

a 3 \times 6 to ensure that there are no two

points whose distance apart is less

than \sqrt{2} ?

Answered by mr W last updated on 13/Sep/20

Commented by mr W last updated on 13/Sep/20

Commented by mr W last updated on 13/Sep/20

p o i n t s o n g r i d \sqrt{2}

b o a r d 3 \times 6 c a n c o v e r a t m o s t 13 p o i n t s .

i . e . o n e c a n p u t a t m o s t 13 p o i n t s

s u c h t h a t n o t w o p o i n t s a r e n o t l e s s

t h a n \sqrt{2} a p a r t .

Commented by Aina Samuel Temidayo last updated on 13/Sep/20

Thanks .