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Visualization of the Lobachevskian plane. (English) Zbl 0994.51002

Between Euclid’s time and 1829, the conviction that Postulate V depends on I–IV Axioms was so strong that no one recognized the basis for new geometry. “The assumption that the sum of three angles is less than \(180^\circ\) leads to some curious geometry, quite different than ours, but thoroughly consistent” (Carl Friedrich Gauss on 8 Nov 1824).
In order to present some of this “new”, “curious” geometry we have created Mathematica package “L2Primitives”.
Contents: About “L2Primitives”; hyperbolic geometry; some further applications and exhibition; references.

MSC:

51-04 Software, source code, etc. for problems pertaining to geometry
51M09 Elementary problems in hyperbolic and elliptic geometries
68U05 Computer graphics; computational geometry (digital and algorithmic aspects)
68U07 Computer science aspects of computer-aided design

Software:

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