For my Intro to Game Theory class, we have been participating in a semester-long simulation of being a faculty member of some universities’ math department. Part of the simulation required us to present projects weekly, or biweekly, in “conferences.” We also had to write a paper pertaining to the subject matter covered in the course. Our professor gave us a list of suggested games and problems from our course book(and a few other sources) that we could cover, though did not limit us to just the problems on his list. As a result, I went looking for what I thought to be a unique application of Game Theory.
The idea I arrived was to modify the “Chinese Room” thought experiment so that it could be treated as a game. It occurred to me while considering other ideas for my Undergrad. Capstone Project.
As far as the paper is concerned, though, this particular topic is appealing to me due its blend of Mathematics, Philosophy, and Computer Science. It’s fun when I can blend different subjects or branches of Mathematics together… it spices things up.
- A Brief Presentation of a Special Case of the Modified Chinese Room:
A project of some fun and interest to me was that of my pseudo-hologram. It started with the simple observation of a reflection off of a surface. The observation led me to consider how it might be possible to reflect a polar panoramic image off of a cone so as to appear 3-D. However, until a friend had asked me to present a project at a MiniMaker Fair at the Barnes and Nobles in the Mall of Georgia, I had little to no drive/reason to build it.
In all, it took me about a week to design, fabricate, and build the pseudo-hologram. In that time I learned not only how to use AutoCAD more effiecently, but I also learned how to cut and mold plexiglass. Further more, I learned how to design some of the molds needed to better form the plexiglass pieces. And indeed, I even picked up a little bit of photoshop to help me warp panoramic images into polar images.
Since finishing the project, Pseudo-Hologram mk: I and II, I have begun considering how it might be possible to inline a Raspberry Pi with a few carefully crafted programs so that I don’t have to use photoshop to warp the images. Further, it may be possible to have a panoramic camera stream data in such a way that the pseudo-hologram has access to the data in real time.
The following is a screen shot of a CAD rendering of my initial prototype:
And an image of the globe that I warped to use as a test image:
For extra credit in my Physics 2(Phys 2212) class, in the fall of 2014, I wrote the following short informal paper on Gravitational Lensing:
The following PowerPoint presentation was a class project for Game Theory, and was meant to be a playful example of how Game Theory might be applied to the story of Sisyphus. Ultimately I wanted to demonstrate how it is possible to rephrase some of the questions and stories of Philosophy into games. In short, to make them more fun!
The Gods’ Punishment of Sisyphus