Hypernom – a 4D VR Game

Hypernom is a 4D VR game that I’ve been working on with Vi Hart, Henry Segerman, and Marc ten Bosch. We’ve already talked about it on the eleVR blog. You can see the code on Github, read about the math behind the game in our paper, and see our presentation about it at Bridges 2015 in flat and spherical video … amongst other things. So I thought I would try something a bit different in my blog post…hypernom

In which I explain our new game using only the ten hundred most used words.

I work in a group that makes things for the pretend world that you wear on your head. We just made a game where you eat four-world things, one three-world thing at a time. My favorite thing to eat is made up of my favorite three-world thing.

My favorite thing in the three-world is made from ten and two faces  with five sides each that are put together.

My favorite three-world thing is like a different three-world thing with twenty faces with three sides each that are put together. The points of my thing are like the faces of the other thing and the faces of my thing are like the points of the other thing. Both things have ten times six edges and share a group with 10 times six times two parts. Notice that 10 times six times two is also five times (ten and two) times two and three times twenty times two.

If you get a hundred and twenty of my favorite three-world things put together then you have another of my favorite things. It does not fit in the three-world and instead lives in the four world. In the fun game that we wrote, you can eat all hundred and twenty of my favorite three world things by moving your head around.

Go try it out now!


Bridges Math Art 2015

Yuri Vishnevsky, Kelly Delp, Katie, and I make a human cube at Bridges 2015

Conference season is exhausting, so I’m very selective about which conferences I attend. Bridges Math Art is definitely one of my favorites and has a solid spot on my “attend” list every year.

The 2015 conference just ended, and was as amazing and exhausting as ever.

This year I presented a workshop on Fibonacci Lemonade (and other mathy layered lemonade variants). Even though Bridges is all about the junctions between math and art, the art of cooking is rarely represented. The Fibonacci Lemonade workshop diversified the conference a bit with some delicious summer math fun. You can find the full paper on the Bridges archive.

My big projects for this year’s Bridges were a couple of 4-dimensional VR art projects that were made jointly with Vi Hart, Henry Segerman, Will Segerman (monkeys only), and Marc ten Bosch. “Monkey See, Monkey Do” is a project with both 3D printed and VR monkeys arranged symmetrically in 4D space and displayed in the juried art exhibit.

Hypernom” is a sort of 4-dimensional Pacman, where you move your head around and try to “eat” the cells. We showed this in the art exhibit and also had a paper and presentation on some of the math behind the project: “Hypernom: Mapping VR Headset Orientation to S3“.

We’ve been working on these projects for a while and I’m delighted with how they turned out. Look out for upcoming blog posts about these pieces – they deserve to have more said about them than what I can fit in one paragraph in a conference summary post. (Update: Vi just made a post about Hypernom on eleVR.com – go check it out)

I also acted in the play, co-wrote mathy-y lyrics to Hotel California (“Hotel Hilbert”), served on the proceedings program committee, and helped jury the short movie festival. (I know, I know, I could do more conferences with less exhaustion if I just did less stuff when I went to one) Needless to say, it was a pretty hectic conference, and I definitely didn’t get to check out every presentation and workshop that I was interested in.

I did get to see the math dance performance by Karl Schaffer, Laurel Shastri, and Saki, as well as Tanya and Tim Chartier’s mime act. Both groups had some new work that I hadn’t seen before and thoroughly enjoyed.

This year’s art exhibit was quite possibly the most impressive exhibition in the whole time that I’ve been attending Bridges.

Within the mathematical theme that connects the pieces of the exhibit there is a great deal of variation both in terms of medium and focus. Here are six pieces that show some of the depth and variety of the exhibition.

Emilie Pritchard’s beaded “stellated offset icosahedron”
Andrew Werth’s Turing pattern paintings
Koos Verhoeff’s “Borromean Rings in Stainless Steel”
Stacy Speyer’s “Woven Duals: Charcoal Icosidodecahedron & Green Rhombic Triacontahedron”
Yongquan Lu’s “Brimstone”
Albert P. Carpenter’s wooden crown polyhedra