2.8 lines

    Keywords: Theory

Two point eight lines - somewhat amazingly, no more than that is needed to cover half of a 19x19 board along the edges:


[Diagram]

180.5 points (s is shared)



The remaining part in the center is equally big.


Calculation

 180.5 points = 72.0 a + 64.0 b + 44.0 c + 0.5 s


We have to mark the entire first line (72.0 points), then the entire second line (64.0 points), and finally, ca. 0.8 times the third line (0.794643.. * 56.0 points).

 (1st) 72.0 / 72.0 = 1.0 
(2nd) 64.0 / 64.0 = 1.0
(3rd) 44.5 / 56.0 = 0.794643..
----------
(sum) 2.794643..

So we get quite exactly 2.8 lines, all in all.



See also


This is a copy of the living page "2.8 lines" at Sensei's Library.
(OC) 2007 the Authors, published under the OpenContent License V1.0.
[Welcome to Sensei's Library!]
StartingPoints
ReferenceSection
About