Monte Carlo Packing of Tetrahedra
We are looking for someone who can reproduce the tetrahedral packing in the nature paper( [url removed, login to view]).
Here are the details of what we want to achieve:
1. We would like the simulation to save the state of the structure periodically (or at each step) as well, so that we could watch a video of it approaching the Glotzer configuration. For example, it would be nice to observe a phase transition where the fluid of tetrahedra goes from a glass (i.e., amorphous solid) state to a QC state.
2. Features we'd like to see in a viewer:
- The ability to open up any structure of tetrahedra (so long as it is written in the same file format as is spit out by the simulation).
- The ability to "fly through" the structure, along arbitrary paths. That is, we want to be able to pilot through the structure with the computer's directional pad (or the A-S-D-W keys, as in a video game) and use the mouse to manipulate the camera orientation and location. Actually, maybe it would be neat if we could control the flight using a joystick.
- We would like for the tetrahedra to have glass-like (in texture) faces, and to have control over the reflectivity and opacity of these faces. It would be nice to be able to modify these parameters in realtime.
Lastly, it is preferred that the viewer be designed either entirely within Mathematica, or in such a way that it may interface with Mathematica.