Take the origin as the end of life. The angular position of the ant is maintained as the angular position of the ant-life. The distance to the origin is a measure of the ant's remaining life. As the ant walks around the origin in a cycle, the ant's remaining life decreases. When the ant-life reaches the origin, the ant dies wherever it was in the cycle.
I get it - its a spiral if you draw it that way. Then anything is a spiral - an ant marching thru the forest, me biking across Iowa, we're both approaching the 'origin'. I was hoping something about the ant motion would work into the spiral-ness.
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