3 papers
math.MG2026
An optimization problem for triangles
Tommy Murphy, Kevin Tran
We consider the problem of optimizing the product of the distances from a given point in a triangle to each vertex. There are two possible cases in general. For isosceles triangles…
cs.PL2024
Computing with FRACTRAN
Khushi Kaushik, Tommy Murphy, David Weed
The FRACTRAN programs GAME and NRGAME are presented, both of which compute the decimal expansion of . Our GAME is analogous to Conway's PIGA…
math.MG2024
Face embeddings of Archimedean solids
Tommy Murphy, David Weed
We characterize the Archimedean solids among the convex uniform polyhedra via face embeddings into a regular Tetrahedron. This result has been listed without proof in the literatur…