A d-code in a graph is a set of vertices such that all pairwise distances are at least d. As part of a study of d-codes of three-and four-dimensional regular polytopes, the maximum independent set order of the 120-cell is calculated. A linear program based on counting arguments leads to an upper bound of 221. An independent set of order 110 in the antipodal collapse of the 120-cell (also known as the hemi-120-cell) gives a lower bound of 220 for the 120-cell itself. The gap is closed by the computation described here, with the result that the maximum independent set order of the 120-cell is 220. All maximum d-code orders of the icosahedron, dodecahedron, 24-cell, 600-cell and 120-cell are reported.
This report describes our experience in teaching an experimental graduate-level course employing collaborative teaching and learning. It was co-taught by four instructors with various backgrounds in computer science, including mechatronics and computational geometry. The course was designed to attract students with either systems or theory backgrounds and during the semester, they identified cooperative robotics problems in active areas of research. The course culminated in collaborative projects where teams of students designed, built and programmed teams of autonomous robots out of Lego MindStorms to solve one of the problems identified earlier. We review our experience with this course, both as teachers and as students. Three of us were the instructors and four of us were the students.
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