5 citations · 5 across the 7 of their papers we have counts for
7 papers
Edge Geometry of Regular Polygons -- Part 2
Gordon Hughes
There are multiple mappings that can be used to generate what we call the 'edge geometry' of a regular N-gon, but they are all based on piecewise isometries acting on the extended…
The Edge Geometry of Regular Polygons -- Part 1
G. H. Hughes
There are multiple mappings that can be used to generate what we call the 'edge geometry' of a regular N-gon, but they are all based on piecewise isometries acting on the extended…
First Families of Regular Polygons and their Mutations
G. H. Hughes
Every regular N-gon defines a canonical family of regular polygons which are conforming to the bounds of the 'star polygons' determined by N. These star polygons are formed from tr…
First Families of Regular Polygons
G. H. Hughes
Every regular polygon can be regarded as a member of a well-defined 'family' of related regular polygons. These families arise naturally in the study of piecewise rotations such as…
Outer Billiards on Regular Polygons
G. H. Hughes
In 1973, J. Moser proposed that his Twist Theorem could be used to show that orbits of the outer billiards map on a sufficiently smooth closed curve were always bounded. Five years…
The Polygons of Albrecht Durer -1525
Gordon Hughes
The early Renaissance artist Albrecht Durer published a book on geometry a few years before he died. This was intended to be a guide for young craftsmen and artists giving them bot…