Regular Apeirogons
A regular apeirogon has equal-length sides and equal corner angles, just like any regular polygon. Its Schläfli symbol is {∞}.
If the corner angles are 180°, the overall form of the apeirogon resembles a straight line:
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This line may be considered as a circle of infinite radius, by analogy with regular polygons with great number of edges, which resemble a circle.
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Famous quotes containing the word regular:
“A regular council was held with the Indians, who had come in on their ponies, and speeches were made on both sides through an interpreter, quite in the described mode,—the Indians, as usual, having the advantage in point of truth and earnestness, and therefore of eloquence. The most prominent chief was named Little Crow. They were quite dissatisfied with the white man’s treatment of them, and probably have reason to be so.”
—Henry David Thoreau (1817–1862)