Computational topology | 3-manifolds | Free mathematics software
SnapPea is free software designed to help mathematicians, in particular low-dimensional topologists, study hyperbolic 3-manifolds. The primary developer is Jeffrey Weeks, who created the first version as part of his doctoral thesis, supervised by William Thurston. It is not to be confused with the unrelated android malware with the same name. The latest version is 3.0d3. Marc Culler, Nathan Dunfield and collaborators have extended the SnapPea kernel and written Python extension modules which allow the kernel to be used in a Python program or in the interpreter. They also provide a graphical user interface written in Python which runs under most operating systems (see external links below). The following people are credited in SnapPea 2.5.3's list of acknowledgments: Colin Adams, , , , Dave Gabai, , , Craig Hodgson, , , , , , , Walter Neumann, , , Alan Reid, and . The C source code is extensively commented by Jeffrey Weeks and contains useful descriptions of the mathematics involved with references. The SnapPeaKernel is released under GNU GPL 2+ as is SnapPy. (Wikipedia).
Karl Popper on Definitions (1974)
A version of an upload from the previous channel. It comes from a 1974 interview with Popper. The translation is my own. For more Popper: https://www.youtube.com/playlist?list=PLhP9EhPApKE_VarWCx1d_Uogn_GxsVf-o More Short Clips: https://www.youtube.com/playlist?list=PLhP9EhPApKE8v8UVlc7Ju
From playlist Karl Popper
A zoom through a selection of cohomology fractals generated by https://henryseg.github.io/cohomology_fractals. In the web app there: arrow and wasd keys to move, choose the manifold from the dropdown menu. The names of the manifolds are as given in the SnapPea census. See our explanation
From playlist GPU shaders