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Teohedral Curve

0Arctic1N America2S America3S Atlantic4N Atlantic5Europe–ME6Asia7Australia8Indian Ocean9Antarctic10S Pacific11N Pacific
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Teohedral Space-Filling Curve
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Illustration of the teohedral curve, A5's space-filling curve, across all the cells on the globe.

The curve within each of the 60 quintants is generated by an L-system on the triangular lattice; the quintant curves are stitched together to complete a closed circuit.

The ordering of the curve is carefully chosen to place the land masses first, followed by the oceans.

Thus 99.9% of the world's population is contained in the first two thirds of the curve.

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