## Edmund Harriss

Mathematician,
Imperial College London
"I am a professional mathematician, interested in the images that can
be generated using mathematics and how those can be made to look beautiful.
I am especially interested in ways in which these images can be used to show
the beauty of mathematics in an accessible manner."

* “16 Squares ”*

2008 (Note photo is of work in
progress), Oil on Canvas, 12"x16"

Squares picked out from a ruled surface.

“ Nautilus and Conch ”

2006, Laser Cut wooden Tiles. Within 12"x12", the tiles need to lie flat on the
table and can be positioned in many ways.

These two tiles represent a break-through in the study of Rauzy
fractals. These are certain shapes related to substitution rules using
letters. There is an extensive theory in the case where the scaling of
the substitution rule was a PV (sometimes called Pisot) number, these
are real algebraic numbers greater than one all of whose algebraic
conjugates have absolute value less than one. These tiles and their
associated tilings were the first example of a dual using a non-PV
number. They were discovered by the artist in conjunction with Pierre
Arnoux, Maki Furukado and Shunji Ito.

* *

“ Sakura ”

2007, Inkjet on Washi, A4

A pattern using the Penrose tiling and its substitution rule to
colour each point.