2
votes
1answer
96 views

Geometry textbook

I am planning to take a graduate Geometry course next semester. The preliminary syllabus does not specify any textbook but has the following descriptions: Catalog Course Description: This course ...
2
votes
1answer
55 views

Reference for important results in linkage theory and their proofs

Are there books or lecture notes that comprehensively introduce the (geometric/topological) theory of mechanical linkages, as well as important results and their proofs? For instance, Kempe's ...
2
votes
2answers
189 views

Cover n points with n disjoint unit disks

This is a problem I saw on Peter Winkler's column on communication of the ACM(might be under a pay wall). It is open. What is the largest $n$, such that you can always cover a given set of $n$ points ...
11
votes
1answer
241 views

Reconstructing a Monthly problem: tree growth on the 2D integer lattice

I'm trying to reconstruct a problem I saw in the Monthly, years ago. Perhaps it'll look familiar to someone. In the integer lattice in the plane, we grow a tree in the following natural way: ...
3
votes
2answers
368 views

Voronoi decomposition implementation in four dimensions?

I'm a software engineer and have been asked to research a Voronoi implementation in four dimensions. I'm not asking for "teh codez" but am interested in approachable tutorials on Voronoi decomposition ...
1
vote
2answers
662 views

Distinct Hamiltonian cycles of the icosahedron and dodecahedron

I am seeking a listing of the distinct Hamiltonian cycles following the edges of the icosahedron and the dodecahedron. By distinct I mean they are not congruent by some symmetry of the icosahedron or ...