### Basis element for the induced topology on a genus two surface

A genus two surface embedded in Euclidean space, shown below [.mov,.avi] $$\Sigma_2 \subset \mathbb{R}^3$$ inherits a topology whose basis elemnts are intersections of the surface with open balls $$\mathcal{B}_i = \Sigma_2 \cap B(\epsilon).$$ A random such intersection is shown below on the left, [.mov,.avi]. The animation on the right [.mov,.avi] shows three different basis elements.

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- UPMAA@NMU

2017 Regional Meeting at NMU*Sept. 29-30 2017*

- Computing Geographical Distances
*Mathematical Spectrum* - iMath: Images as Matrices
*International Research in Education* - Evaluating Several Different Web Prediction Algorithms
*EMC World* - Some Graftings of Complex Projective Structures with Schottky Holonomy
*in Geometriae Dedicata* - Visualizing Topology
*An animation* - Data Visualization
*An animation* - Fun with Penrose Tiles
*A Prezi*

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