Bernie C. Till

 The image on the right is a 2-D perspective projection of a 3-D orthogonal projection of a 4-dimensional object known as a Klein bottle. The figure is defined by deforming the unit square into a Möbius strip along both axes at the same time, which is topologically equivalent to following the axes of the projective plane from the orgin through their respective points at infinity and back to the origin.

Department of Electrical and Computer Engineering

office: EOW 439, tel: +1 250-721-6029, fax: +1 250-721-6052
lab: ELW 402, tel: +1 250-472-4234
UVATT: CUNN 224, tel: +1 250-721-6551
email: btill@ece.uvic.ca

Teaching

ELEC 200 - Engineering Graphics (fall 2007)
CSC 355 - Digital Design and Computer Organization (summer 2005)
ELEC 200 students may be interested to know that this image was modeled and rendered using VBA to automate AutoCAD.

Research

I'm interested in computational techniques in which the information content of a problem drives a description of the problem to evolve into a description of the solution. On this view, information (usually mutual information) exerts a force by virtue of the form and function of the symbols which encode it.

Essentially, this casts information as a potential and mutual information as a potential difference. The force referred to is therefore just the gradient of this potential. Then an algorithm is simply a computational model of the symbolic dynamics induced on the semantic space of symbol configurations by a pattern of such forces. And a solution, finally, is nothing other than a configuration which minimizes this potential.

Research Projects and Collaborators
Repository of Interesting Papers
UVATT Design Resources

Ta panta rei — all is flux

 Heraclitus of Ephesus, circa 500 BC
The Tao that can be told
Is not the eternal Tao.
The name that can be named
Is not the eternal Name.

 The unnamable is the eternally real.
Naming is the origin
of all particular things.

 Lao Tse, The Tao Te Ching, circa 600 BC