abaddon
Penultimate Amazing
Altered Initial condition 1)
The grid consists of a chess board modified by adding a black square to the right of each original black square moving the others to the right. Or any other non-chess-board pattern.
Onto this grid you place a simple ant. This ant follows some very simple rules.
1. Move one square forward.
2. If the square it lands on is black, change it to white and turn to the left.
3. If the square it lands on is white, change it to black and turn to the right.
4. Repeat forever.
What pattern of black and white squares will the ant make, in your opinion?
Altered Initial condition 2)
The grid consists of a regular chess board pattern.
Onto this grid you place a simple ant. This ant follows some very simple rules.
1. Move one square forward.
2. If the square it lands on is black, change it to white and turn to the left.
3. If the square it lands on is white, change it to black and turn to the right.
3a. Every tenth move must be a forward move using the next digit in the number Pi (or "e") for the number of forward steps.
4. Repeat forever.
What pattern of black and white squares will the ant make, in your opinion?
Apparently the exact same pattern?![]()
What pattern would that be? Do you know?
