Friday, April 20, 2018

mathematics - Peaceable Bishops on a 10x10 grid version 2


Can you place 42 bishops with 6 bishops for each of the 7 colors on a 10x10 grid, such that no two bishops of different colors attack each other?



Here are some similar questions:


Peaceable Bishops on an 8x8 grid


Peaceable Bishops on an 10x10 grid



Answer



This was probably not the most exciting question. Anyway there are many solutions. Here are some examples:




723...5617
2.23456..1
32.......6

.3......65
.4......5.
.5......4.
.6.......4
.1.....7.3
171654...2
71....4327

512...3.65
1.124.7.56

21....6...
.2.....673
.4........
.3......4.
37......24
7.........
6..7342.51
5673..4.15

12.3..4671

21.5346..7
.........6
35......64
.3......4.
..........
467....253
...7..2..5
71.6..5..2
17.4..3521


Interestingly one cannot add a single other bishop of any color.


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