26 citations · 39 across the 16 of their papers we have counts for
16 papers
A practical efficient and effective method for the Hamiltonian cycle problem that runs on a standard computer
Eric Lewin Altschuler, Timothy J. Williams
Given cities and directed (unidirectional/one way) roads does there exist a tour of all cities stopping at each city exactly once using the given roads (a Ham…
Proof of the Irrationality of the Square Root of Two in Babylonian Geometry Problem Tablets
Benjamin M. Altschuler, Eric L. Altschuler
One of the greatest achievements of Greek mathematics is the proof that the square root of 2 is irrational. It has not been thought that the Babylonians appreciated the concept of…
Using Simulated Annealing to Factor Numbers
Eric Lewin Altschuler, Timothy J. Williams
Almost all public secure communication relies on the inability to factor large numbers. There is no known analytic or classical numeric method to rapidly factor large numbers. Shor…
Delimiting Maximal Kissing Configurations in Four Dimensions
Eric Lewin Altschuler, Antonio Pérez-Garrido
How many unit dimensional spheres can simultaneously touch or kiss a central dimensional unit sphere? Beyond mathematics this question has implications for fields such as c…
Do All Spherical Viruses Have Icosahedral Symmetry?
Eric Lewin Altschuler, Antonio Pérez--Garrido
Recent high resolution structures for viral capsids with 12, 32 and 72 subunits (, and viruses) have confirmed theoretical predictions of an icosadeltahedral structur…
A Very Intuitive Geometric Picture of the 24-cell, and Lattices Given by Using the Hopf Maps
Eric Lewin Altschuler, Antonio Perez--Garrido
We use the Hopf fibrillation to give simple and intuitive geometric constructions of the 24-cell, and lattices.