Can you give a position for 53 ‘bounds’?
Here
Then the clarification mentioned in a comment:
“the 16 white pieces” can be mixed colors, doesn’t matter.
is false, because by turning the pawn of the second row, and the first pawn of the third row into black pieces, we go up to 55 connections from 53.
Makes no sense to me what you said. Can you please clarify?
I mean that the following position:
achieves 55 connections, by using mixed colors. Unless my arithmetic is failing me again.
Edit to add: And unless arithmetic is failing me again, the following has 56 connections:
Yes, I know now what you mean. It is a bit different puzzle now. The color of a piece maters this way
Do you think your solution is optimal?
I meant that with mixed colors, we can have the following:
which unless my arithmetic fails me again, is 55 connections.
Can you give a position for 53 ‘bounds’?
Here
Then the clarification mentioned in a comment:
is false, because by turning the pawn of the second row, and the first pawn of the third row into black pieces, we go up to 55 connections from 53.
Makes no sense to me what you said. Can you please clarify?
I mean that the following position:
achieves 55 connections, by using mixed colors. Unless my arithmetic is failing me again.
Edit to add: And unless arithmetic is failing me again, the following has 56 connections:
Yes, I know now what you mean. It is a bit different puzzle now. The color of a piece maters this way
Do you think your solution is optimal?
I meant that with mixed colors, we can have the following:
which unless my arithmetic fails me again, is 55 connections.