Animations
  
 
Christopher Hanusa > Research > Animations
 
Animations
I have used Mathematica to create some interactive worksheets from my research.
In order to see them, you will need to download the free Wolfram CDF viewer. It's worth it, really.

Algebraic Combinatorics

Here is a worksheet to create abacus diagrams and core partitions in Affine A. Change the level of the beads on the abacus to determine the corresponding core partition and Coxeter length.
Combinatorics of Type A

Here is a worksheet to create abacus diagrams and core partitions in Affine C. Change the level of the beads on the abacus to determine the corresponding core partition and Coxeter length.
Combinatorics of Type C

Here is an animation of the building of an abacus and core partition one generator at a time in Type C.
Abacus/Core Example

Here is an animation of root lattice coordinates and their alcoves which correspond to simultaneous core partitions.
Roots and Cores

Chemistry

Here is a visualization of MgO nanotubes.
MgO Nanotubes

Here is a visualization of nanotubes and the Madelung Constants of their individual ions.
Madelung Constants for ions in nanotubes

Creative Commons License
All work on this page is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.

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Queens CollegeMathematics Department.