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Mathematical games-an endless journey of ant financial

Source: Internet
Author: User
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Now, the mysterious Ant world ......

An infinite checker board, each of which is black. One ant moves according to a very simple rule: if it is black, the grid is painted white, turning left 90 degrees, moving forward one grid; if it is white, the grid will be painted black, right 90 degrees, forward one grid. Where will the ant financial go so far?

The following figure shows the simulation result on my computer.

At first, it was a very chaotic image. But suddenly, ant seemed to have produced intelligence and began to build a road!

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Related Keywords:
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