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:
“It was inspiriting to hear the regular dip of the paddles, as if they were our fins or flippers, and to realize that we were at length fairly embarked. We who had felt strangely as stage-passengers and tavern-lodgers were suddenly naturalized there and presented with the freedom of the lakes and woods.”
—Henry David Thoreau (1817–1862)