![[From the portrait by Tom Wise at St. John's College]](images/A3.jpg)
The picture above is from the portrait (August 2001) by Tom Wise at St. John's College
Reader in Mathematical Physics, retired 300913
Fellow of St. John's College, January 1967 to date
Research Interest January 2024
PiFormulas: some smooth stones on the beach of rough numbers
For associated papers, see the following
PiFormulas.pdf, in user/ajm/PiF2024
Research interests 2014-17
The geometry of the triangle centres and central lines
of an arbitrary plane triangle
Use of the Steiner deltoid to motivate extending the 9-point circle
to 12 point status. The Steiner deltoid is the envelope of the Simson line of a
point on the circumcircle of a plane triangle as the point traverses the
circle. Its points of contact with the 9-point circle yield a very
interesting pattern
For associated papers, see the following
GeomTriCentsFinal.pdf or GeomTriCentsFinal.ps, in user/ajm/Papers2017
12PointCircleFinal.pdf or 12PointCircleFinal.ps, in user/ajmPapers2017/aj
The titles of these papers follow
On the relative distances between triangle centres lying on the central lines of an arbitrary plane triangle
The paper MorleyTricorn.ps is in user/ajm/Papers2009. This is a longer version of the paper with the title: The Morley tricorn -- a solid figure constructed from the diagram for Morley's Theorem, which appeared in The Mathematical Gazette 95 , 49, 2011. A photograph of one of the author's models of a Morley tricorn is displayed on the front cover of number 532 of the Gazette.
Address :
DAMTP,
Centre for Mathematical Sciences,
Wilberforce Road,
Cambridge CB3 0WA
E-mail:
A.J.Macfarlane@damtp.cam.ac.uk
Telephone : +44 1223 3 37874
Fax : +44 1223 7 66883
The complete set of lecture notes for O5 Electromagnetism (2002) are in user/ajm/notes.
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