By Ronnie Brown, Professor Emeritus, University of Wales Bangor.
Royal Institution Proceedings, Volume 64 pp207243. This paper is an account of the Royal Institution Friday Evening Discourse given in May, 1992. It was an honour to be asked to be the speaker at this prestigious and traditional event. The title reflects the kernel of the subject matter: pushing the boundaries of what is known by questioning the status quo, my own research being the case in point. The main part of the talk was to describe the nature and scope of the area of research  Higher Dimensional Algebra (pertaining to a branch of mathematics known as topology)  in visual, engaging terms for a general audience.
1 
This revised (colour graphics and some additions/corrections/clarifications to text) web version of the paper includes images from the popularisation web site (click on the image) and accompanying CD. Contact the author for more information and to obtain a copy of the CD. For mathematicians: "From groups to groupoids: a brief survey" (ref [4]) also by the author. BOOK: Topology and Groupoids. R. Brown 2006 ed. Order online.
Full paper PDF 27pp, 1MB OPEN/DOWNLOAD Full paper HTML 27pp, OPEN/DOWNLOAD


2 

III. Symmetry and
Abstract Groups 
4





7 

V.
Motion 
9





15 

18 

22 

IX. Implications. References. 
24 
Fig 1 
Formula on blocks. 
Fig 36 
`Rhythm of Life` by John Robinson. 