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Featured researches published by Paul Stephenson.


The Mathematical Gazette | 1993

Plato's Fourth Solid and the "Pyritohedron"

Paul Stephenson

Michael Deakin’s article (“A simple proof of the Beijing theorem” 76 pp251-4) will have set readers thoughts running in a number of directions. Mine turned backwards in time, towards rational approximations to the golden ratio and crystallography. The symmetries of the crystal lattice preclude the appearance of a regular pentagonal face or true 5-axis. However fair rational approximations are attained with surprising ease.


The Mathematical Gazette | 2006

90.55 The ‘derangements’ relation visualised

Paul Stephenson


The Mathematical Gazette | 1999

Solitary Solarians and densely packed spheres - from Stephen Hales to Thomas Hales

Paul Stephenson


The Mathematical Gazette | 2018

102.31 Cyclic gridpoint polygons

Paul Stephenson


The Mathematical Gazette | 2018

102.17 Dimensional analogues of two figurate identities

Paul Stephenson


The Mathematical Gazette | 2017

101.40 Dandelin circles

Paul Stephenson


The Mathematical Gazette | 2017

Trigonometric identities from regular polygons

Paul Stephenson


The Mathematical Gazette | 2017

101.18 Proof without words: relationship between inverse cotangents

Paul Stephenson


The Mathematical Gazette | 2017

Pappus in two dimensions, Mamikon in three

Paul Stephenson


The Mathematical Gazette | 2016

100.13 The Steinhaus ‘four-colour’ tiling

Paul Stephenson

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