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Parallel bundles in planar map geometries

Linfan Mao
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Abstract

Parallel lines are very important objects in Euclid plane geometry and its behaviors can be gotten by one's intuition. But in a planar map geometry, a kind of the Smarandache geometries, the sutation is complex since it may contains elliptic or hyperbolic points. This paper concentrates on the behavior of parallel bundles, a generazation of parallel lines in plane geometry and obtains characteristics for for parallel bundles.

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Linfan Mao. 2005-06-20. Parallel bundles in planar map geometries. https://arxiv.org/abs/math/0506386

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