Lizzy & Mark: Week 11
This past week I started work on one of the many project mentioned earlier. Here are some images from my studio of the sketches I did of position-velocity phase space plots from one of Mark’s simulations. Also shown is a 3D model of a graph in three dimensions.
I tried to keep things loose and gestural with the drawings. I love the effect of transparency of charcoal on paper, and used some of that in the black and white drawings to show where data points appeared bunched up or spread out on the plot.
I was also able to download the open source and free visualization software, ParaView. Here are my first screenshots from simulation data previously shared in motion form, from Mark’s update on November 1.
I have been looking into producing gears that spin essentially like filaments would in my tetrahedral collapse model. One goal Lizzy and I have is to connect these gear units along a network, to illustrate some constraints and relationships that would happen if galaxies in the Universe were linked this way.
A bit of searching on 3D printing design sites led me to a class of gears that can be 3D printed, and seem to be useful for this task. Most (if not all?) of them are fundamentally based on a tetrahedron, even the first one, the cube:
In fact a tetrahedron is at the center of that. Why? Consider the familiar cube (more familiar than a tetrahedron for most of us). It has 6 faces, and 8 corners. The shape formed by replacing all corners with faces is the octahedron. But replacing only half of the 8 faces (some set of 4 that are not adjacent) produces a tetrahedron (the basis for the tetrahedral collapse model, the simplest way to form a collapsed object out of a non-stretchy material in 3D).
There are several other cool models based on the same object: a heart
and a skull!
If you watch these and think about these, they are based on tetrahedral geometries! Since the tetrahedron is the simplest solid, imagine all the possibilities for more complicated networks of gears...
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Lizzy Storm is an artist and owner of Lizzy Storm Designs based in Atlanta, Georgia.
Mark Neyrinck is an award-winning astrophysicist and cosmologist, and a postdoctoral researcher at Durham University, United Kingdom.