"If
someone says...that mathematical reasoning
cannot be carried beyond a certain point, you may be sure that the
really interesting problem begins precisely there."
--Felix Klein, Elementary Mathematics from an Advanced Standpoint
"We
can forgive a man for making a useful thing
as long as he does not admire it. The only excuse for making a
useless thing is that one admires it intensely."
--Oscar Wilde, The Picture of Dorian Gray
| Work |
Solving the sextic
by iteration |
Solving the quintic
by
iteration in
three dimensions |
Solving polynomial
equations by iteration: An aesthetic approach
|
Solving the octic by
iteration in six
dimensions |
Polynomials,
symmetry, and dynamics: An undertaking in aesthetics |
A family
of critically finite maps with symmetry |
Solving
the
heptic by iteration in two dimensions: |
| New light on solving the sextic by iteration: An algorithm using reliable dynamics Journal of Modern Dynamics 5, No. 2, 2011, 397-408 |
| In
progress: A conjecture on complex reflection groups Maps with icosahedral symmetry Solving the heptic by iteration in three dimensions |
| People |
| Peter Doyle |
| Anne Shepler |
| Places |
| McMullen's Gallery |
| Experimental Mathematics The journal |
| Experimental Mathematics The website |
| Mathematicians of the African Diaspora |