This github repo contains point clouds used in a Topology Scavenger Hunt at Macalester College described in the volume Cross-Curricular Applications for Pure Mathematics Courses.
There are 14 different points clouds of various dimensions and topological structures.
They are in 2D (numbered 1-6), 3D (numbered 11-14), 4D (numbered 21-22), and 400D.
The 400-dimensional point clouds were created by taking a 20x20 random matrix, superimposing a 10x10 matrix of 0s onto the matrix (this can be visualized as a black square in an image), and then moving the square to various positions inside the random matrix. Vectorizing each of these random matrices results in 400-dimensional points. In points400_1.csv, the 0s matrix is allowed to wrap horizontally. In points400_2.csv, the 0s matrix is allowed to wrap both horizontally and vertically.