1. Generate some sphere-meshes. Run the sphere-generation script - python make-sphere-mesh.py - to generate some sphere meshes. The denser, the better. By default, the script will try to generate ...

A great circle is an equivalent of a straight line in planar geometry - it is the shortest path between two points on a sphere. Doing geometry on a sphere requires using spherical trigonometry and ...

In the ‘Wild West’ of Geometry, Mathematicians Redefine the Sphere High-dimensional spheres can have a much wider variety of structures than mathematicians thought possible. Contact structures assign ...

But in 1947, a mathematician named Claude Ambrose Rogers offered a different perspective. Start with any lattice, he said — even a suboptimal one. Rather than draw a sphere around each point, draw an ...

Books Received Published: 10 December 1938 Analytic Geometry and Calculus Nature 142, 1018 (1938) Cite this article ...

Books Received Published: 22 September 1923 (1) Principles of Geometry (2) Higher Geometry: An Introduction to Advanced Methods in Analytic Geometry (3) Elements of Projective Geometry F. P. W ...