Last edited 09dec13 by

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Week 9 Week 10 Week 11 Week 12 Week 13 Week 14 Week 15


Overall, I intend to study the relationship between fractals and grain boundaries. If you are interested, please take a look at my pre-proposal or proposal.

Week 9:

Created a weekly progress report and added a draft abstract, available here.

Week 10:

Created a weekly progress report and added pseudo-code for the stellation of a tetrahedron and cube, available here.

Week 11:

Created an iterative process that stellates one side of a tetrahedron (a triangle). Unfortunately, the process is extremely inefficient.

Inefficent Stellation

Created a cube.


Week 12:

Created first level extrusions on the cube, using an iterative method. The cube extursion is an "anti-Menger Sponge." It is based on a stellation which extrudes the central of nine squares generated by dividing each side of a cube into three equal-sized portions.

Extruded Cube

Built a recursive program that stellates tetrahedra.

Extruded Tetrahedron

Unfortunately, there are still loads of errors. For example, the extrusion method does not quite work right, so the tetrahedra lean towards the outside. Also, if the height given is too much, the tetrahedra rapidly become needles.

Extruded Tetrahedron 2

Week 13:

Enabled flight!

Week 14:

Fixed the extrusion for the tetrahedron and built a recursive method for the cube. Researched and computed the fractal dimensions for the cube and tetrahedron stellations.

The tetrahedron stellation. Stage 2

Extruded Tetrahedron

The cube stellation. Stage 2

Extruded Cube

An interesting observation: the tetrahedron stellation approaches a cube. Stage 4 is pictured below.

Extruded Cube

Week 15:

Optimized the project to run using display lists. There is now a printout of the keyboard controls at the top of the program.

Keyboard-Controlled Cube