| 1. | There are additional exceptional Schwarz triangles in the sphere and Euclidean plane.
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| 2. | Mathematically, tessellations can be extended to spaces other than the Euclidean plane.
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| 3. | In the Euclidean plane, fix a circle with center and radius.
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| 4. | This is reminiscent of the isoperimetric problem in the Euclidean plane.
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| 5. | The case of a pseudo-Euclidean plane uses the term hyperbolic orthogonality.
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| 6. | Geometric ideas are still understood as objects in the Euclidean plane.
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| 7. | The conic sections of the Euclidean plane have many distinguishing properties.
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| 8. | The Euclidean plane and the Moulton plane are examples of infinite affine planes.
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| 9. | In geometry, the "'tetrakis square tiling "'is a tiling of the Euclidean plane.
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| 10. | :: : A useful analogy is a simple random walk on the Euclidean plane.
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