Little math problems July 2019

[John Keith]

Diagonal case, even sizes assuming that all squares bordering the 4 center squares are considered to be a distance of 1 or √2 from the center:

Code:


\<< \-> n
  \<< 0 n 
    FOR x 0 n 
      FOR y x SQ y SQ + \v/
      NEXT
    NEXT n 1 + SQ \->LIST \GSLIST EVAL 8 * EVAL
  \>>
\>>

4: '16+8*√2' ~27.313
6: '48+24*√2+16*√5' ~117.72

...etc. Expressions are the same as for size n-1 except for the additive term being doubled.