## Archive for April, 2012

### Incredibly Awesome News

I’m probably going to have a paper published! On Mayan numeral systems of all things!

This past quarter, I took a class called “History of Mathematics”. It seemed interesting, there was nothing else to fill my schedule, and, as it turns out, it will could towards my elective credit for my degree. During the class we had a homework problem which asked to find a simple way of multiplying a Mayan number by 20. Nobody could solve it, and the teacher (Dr. Shirley Gray) stated that in all her years of teaching the class, no student of hers had ever solved the problem. She had even written the textbook’s authors and they didn’t have a solution either. Well, I solved it.

It seems like a simple problem. But to understand it, we must understand how Mayan numbers work. Mayan numbers are, essentially, a base-20 positional system. It is like ours, except that each successive digit it twenty times greater than the previous one (in ours, of course, each digit is only ten times greater).

Based on this, it should be trivial to multiply by 20: just add a zero on the end (like multiplying by 10 in our system). However, there is a slight problem. For some reason, the third digit in a Mayan number is only 18 times the previous digit (meaning that 1-0-0 in their system is equal to 360, not 400). Adding a zero on the end won’t result in a number twenty times greater.

So, how do you do it? Well, I can’t write the answer here because I don’t want to inadvertently mess up getting the paper published. Dr. Gray did grill me on whether I found the solution online (which I didn’t, of course. Plagiarism is a very serious academic offense and if I had found it online, I would have stated so in the first place. I understand her caution completely). What I will say, though, is that the solution is simple, quick, and you don’t even have to convert the Mayan number into our own system to do it (they didn’t use Hindu-Arabic numbers, naturally. It was system of lines and dots written vertically, with a strange shell shape for the number zero. See here).

Where the paper comes in is that Dr. Gray was already writing a paper on Mayan numbers and wants to include my finding in it. So it’s not really my paper, but it’s still a mention in some official publication. Which is more than I’ve ever done so far.

So, when the paper is published, I will announce it here, as well as the actual solution with the proof I developed. It will interesting to put on my resumé, right below ‘recording “Hollaback Girl” with Gwen Stefani’ (true story! Also, sorry…)

### Project Glass

Last July, I described how we could go from today’s technology to fully-immersive virtual reality in only two steps. Well, it now seems that step two is well on the way, having apparently skipped over step one.

Google has announced that they are working on, essentially, augmented reality glasses. Of course, technology like this has been worked on for decades with little to show for it. But this seems, possibly, different. This this time, it is a large high-tech company with a track record of producing practical and highly profitable technological innovations. If anyone has a shot to making these glasses widely available it’s them.

Second, take a look at this video:

Absolutely everything that is shown is what smart phones do today: listening to music, taking pictures, making phone/video calls, getting weather, looking up info online,  texting…it’s like wearing an iPhone on your head.

Furthermore, and something I stressed in my former post, it is very lightweight, and not cumbersome at all to use, like a real pair of glasses. This is essential. If it was a giant bulky headset, no one would want to buy it, no matter what it did. Plus, when not using it, you can still see where you’re going. You don’t even have to take it off.

Now, what needs to happen is for someone to make a virtual reality app. Something like Second Life that you can stream through the glasses. True it won’t be fully immersive, and you might need to have some sort of controller hooked into the glasses (note to Google: be sure to include USB or microSD slots), but it is a first step. From there you can build onto it to eventually create fully immersive virtual reality.

Anyway, based on all this, I predict two possible outcomes: 1) Google will introduce these within a few years (2014-15 frame) and make billions, or 2) This will flop by Apple will come out with their own version a little later (2014-17 frame)  and make billions (maybe they can call it the iEye ;)) Either way, the next wave of personal technology is rapidly approaching.