1 citations · 1 across the 9 of their papers we have counts for
9 papers
Completely solving the quintic by iteration
Scott Crass
In the late nineteenth century, Felix Klein revived the problem of solving the quintic equation from the moribund state into which Galois had placed it. Klein's approach was a mix…
Solving the octic by iteration in six dimensions
Scott Crass
Extends previous work on a quintic-solving algorithm to equations of the eighth-degree.
Dynamics of a soccer ball
Scott Crass
Exploiting the symmetry of the regular icosahedron, Peter Doyle and Curt McMullen constructed a solution to the quintic equation. Their algorithm relied on the dynamics of a certai…
New light on solving the sextic by iteration: An algorithm using reliable dynamics
Scott Crass
In recent work on holomorphic maps that are symmetric under certain complex reflection groups---generated by complex reflections through a set of hyperplanes, the author announced…
Solving the heptic in two dimensions: Geometry and dynamics under Klein's group of order 168
Scott Crass
There is a family of seventh-degree polynomials whose members possess the symmetries of a simple group of order 168. This group has an elegant action on the complex projective…
A family of critically finite maps with symmetry
Scott Crass
The symmetric group S_n acts as a reflection group on CP^{n-2} (for ) . Associated with each of the transpositions in S_n is an involution on CP^{n-2} that…