2/25/2014

08 - Latitudinal Loop

Continue with the previous article.

If an aircraft on the equator of planet Earth flies along latitude and keeps its route straight, it will round the equator and eventually back to its starting point. Likewise, if a piece, e.g., a rook, on square d5 on the Dot moves along latitude and keeps its route straight, it will pass e5, f5, g5, h5, a5, b5, c5 and eventually move back to d5.


Rook moves along latitude on the Dot

Now if I change the diagram above into the 2DFARCSOD below, it will look like this:


Rook moves along latitude on the Dot

And here is the single-chessboard view:


Rook moves along latitude on the Dot

In case of it’s not easy to notice, let me point it out that all the rooks on the 2DFARCSOD above are actually the same one, because all chessboards are in fact replicas from the single, original one.

To be continued.

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