This is a brief introduction to the geometric aspects of aperiodic tiling and collaboration John Conway author in decade 1990-2000.

We describe the Polyak-Viro arrow diagram formulas for the coefficients of the Conway polynomial. As a consequence, we obtain the Conway polynomial as a state sum over some subsets of the crossings of the knot diagram. It turns out to be a simplification of a special case of Jaeger’s state model for the HOMFLY polynomial. Introduction In this paper we are working with the Conway polynomial ∇(L)...

One of the first articles that have addressed lattice quantizers in practical applications is the work of Sayood et al. (Sayood et al., 1984). The lattice quantization has been strongly stimulated by the articles of Conway and Sloane (Conway & Sloane, 1982), (Conway & Sloane, 1983) presenting fast algorithms for nearest neighbor search algorithms. The principal factors that have brought the lat...

We obtain bounds on hyperbolic volume for periodic links and Conway sums of alternating tangles. For links that are Conway sums we also bound the hyperbolic volume in terms of the coefficients of the Jones polynomial.

Analy8i8 of magnesium, potassium and sodium. The methods used were the same as those described in the preceding paper (Conway & Duggan, 1958). Procedure. Fresh baker's yeast (supplied by the Cork Yeast Co.), was twice washed. A portion (1 g.) of the yeast washed and packed by centrifuging was suspended in 20 vol. of a medium containing 5% (w/v) of glucose and 200 mM-magnesium acetate (or chlori...

This paper presents an interactive modeling system of polyhedra using the isomorphic graphs. Especially, Conway polyhedron notation is implemented. The notation can be observed as interactive animation. Keywords—Conway polyhedron notation, Polyhedral graph, Visualization.