A tiling of a surface is a decomposition of the surface into pieces, i.e. tiles, which cover it without gaps or overlaps. In this paper some special polygonal tiling of sphere, ellipsoid, cylinder, and torus as the most abundant shapes of fullerenes are investigated.

A method of defining the complex structure(i.e. moduli) for dynamically triangulated(DT) surfaces with torus topology is proposed. Distribution of the moduli parameter is measured numerically and compared with the Liouville theory for the surface coupled to c = 0, 1 and 2 matter. Equivalence between the dynamical triangulation and the Liouville theory is established in terms of the complex stru...

Advantages of hypercube network and torus topology are used to derive an embedded architecture for product network known as torus embedded hypercube scalable interconnection network. This paper analyzes torus embedded hypercube network pertinent to parallel architecture. The network metrics are used to show how good embedded network can be designed for parallel computation. Network parameter an...

In this paper, we study the application of the function field sieve algorithm for computing discrete logarithms over finite fields of the form Fqn when q is a medium-sized prime power. This approach is an alternative to a recent paper of Granger and Vercauteren for computing discrete logarithms in tori, using efficient torus representations. We show that when q is not too large, a very efficien...

Twisted torus knots are with some full twists added along number of adjacent strands. There infinitely many known examples twisted which actually knots. We give eight more infinite families such a single negative twist.

Three recent articles in Nature: Physics, on plasma physics issues relevant to the ITER fusion power experiment*[see inset], have Australian connections. Although Australia does not yet have any formal involvement with what is claimed to be the world‟s largest truly international scientific experiment, this connection is not surprising in view of the long and distinguished history of Australian...