167 citations · 519 across the 84 of their papers we have counts for
4 papers · 1 filter
The Number of Triangles Needed to Span a Polygon Embedded in R^d
Joel Hass, Jeffrey C. Lagarias
Given a closed polygon P having n edges, embedded in R^d, we give upper and lower bounds for the minimal number of triangles t needed to form a triangulated PL surface in R^d havin…
Bounds for the 3x+1 Problem using Difference Inequalities
Ilia Krasikov, Jeffrey C. Lagarias
We study difference inequality systems for the 3x+1 problem introduced by the first author in 1989. These systemes can be used to give lower bounds for the number of integers below…
The EKG Sequence
J. C. Lagarias, E. M. Rains, N. J. A. Sloane
The EKG or electrocardiogram sequence is defined by a(1) = 1, a(2) = 2 and, for n >= 3, a(n) is the smallest natural number not already in the sequence with the property that gcd {…
Affine isoperimetric inequalities for piecewise linear surfaces
Joel Hass, Jeffrey C. Lagarias
This paper considers affine analogues of the isoperimetric inequality in the sense of piecewise linear topology. Given a closed polygon P embedded in R^d having n edges, we give up…