This 2017, two groups of five students, each worked on building software for further explore the 3D problem in particular the case of general Penrose quasicrystalline clusters and some progress on the most general case that the deformation group includes twists and asymmetric shears of (still) cubical frameworks.
The elementary group learned the rudiments of programming real-time interative computer animations (RTICA) in Python/TkInter, Python/OpenGL, and Javascript/HTML5/CANVAS.
Members of the advanced group made significant progress in four areas of the general problem to be solved. Sasha Lamtyugina continued the work of earlier students by re-implementing the DeBruijn-Robbin generator of 3D quasicrystal clusters into Python/OpenGL. This software was originally programmed in Schaeffer-Crowell's Syzygy, which is the distributed graphics software for the virtual environments (CAVE, Cube, Oculus Rift) of the (now destroyed) Illinois Simulation Laboratory (ISL) of the Beckman Institute. Yijing Chen implemented the three projection panels for the testing of the Duarte-Francis Shadow Conjecture generaliziging their proof of the 3D-Wester Conjecture. Arturo Guerrero worked of the shift deformations for the stratification of arbirtrary rhomboid (Penrose) clusters, generalizing the Baglivo-Garver (cubical crystalline framework) shifts. And Zachary Berrebah explored the conjectured elementary generators of the deformations of a cubical framemework in 3D.
