MATHEMATICS IN JOHN ROBINSON'S
SYMBOLIC SCULPTURE
INTRODUCTION
The mathematician, a member of the wide mathematical community, studies forms
and patterns for their own sake, for the sense of structure, logic and truth
which they bring, and for the simple delight in the discovery of amazing
new forms and patterns, which often also reveal new features of the world
around us.
The artist has his sense of proportion and line, his precise visual imagination,
his feeling for emotion and wider significance, and his ability to realise
these in a beautifully crafted object.
John Robinson's Symbolic Sculptures have brought
together the artist and mathematicians.
Through this association, both sides have been enriched, and Robinson's striking
works have been brought to the attention of a wider public.
Some of his work can be visualised in a
Brochure produced by
The University of Wales, Bangor
which gives a guided tour around the university grounds and his
sculptures.
THE MATHEMATICAL THEMES

Borromean Rings
(50Kb)  what they are and why they don't exist!

The Möbius Band
(53Kb)  what one looks like, experiments to try, and a beautiful rotating
golden one enabling you to really see what one looks like in 3D (this
is optional as 90Kb).

Bernard Morin and the Brehm Model
(25Kb)  how Bernard Morin showed John Robinson the Brehm
Model of the Möbius Band and how to make one!

The Projective Plane
(88Kb), (95Kb)  two pages explaining how to create and understand the
projective plane although it is not possible physically to construct it.
Also, the relation to the Brehm Model of the Möbius Band, and the
Dirac String Trick.

Fibre Bundles (8Kb)
 what they are, how to make them, and examples of them in John Robinson's
Work.

Knots and Links 
(30Kb) Introduction to the subject of Knot Theory, includes history of
the subject, and a rotating mathematically constructed version of
Immortality, which is the most basic of knots, namely a trefoil knot,
made from a Möbius Band.

Torus Knots (95Kb),
(96Kb)  two pages explaining the basics about torus knots with the help
of full colour graphics. There are also 3D moving images of John Robinson's
sculptures of the Gordian Knot and the Rhythm of Life.

Fractals 3 pages, introducing
Fractals, considering iteration, The Sierpinski Gasket and the applications
of the subject.

How we made the pictures
(10kb) Details of the construction of the computer graphics.
OTHER INFORMATION
©Mathematics and
Knots/Edition Limitee 1996
This material may be used freely for educational, artistic and scientific
purposes, with acknowledgement, but may not
be used for commercial purposes, for profit or in texts without the permission
of the publishers.