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Tuesday, August 24, 2010

Music

Rick and I made music last night. We recorded a few takes of a song he's been working on lyrics for, and we worked out some guitar parts I can play. Until our joint work is finished and published (Rick's shooting for the end of September), you can enjoy his solo work on iTunes and on his website:

4stringrick.com (he may have to register a new domain; he's now messing around on a six-string bass)


There's a sweet widget on the homepage where you can listen to the whole album, as well as a link to buy it. I can't tell for sure from the image, but it looks as though he may have used Papyrus as the typeface on the cover. Have webcomics not taught their lesson?

Thursday, August 12, 2010

Sculpture



I saw this sculpture at the University of Michigan, just outside the Law quad. Its been around for a while, and it bears a striking resemblance to components of my Meme-Gene/Body-Soul sculpture design I did a year or two ago. (Edit: the sculpture was done by Chuck Ginnever in 1972).

The angles look really close to being the same; I wonder if the similar mathematical considerations motivated the designer of this sculpture. As I recall, my method was this:
  • Take an equilateral triangle with side length S as the base
  • Copy the triangle and rotate it by 22.5 degrees (which completes a 360 degree turn in 16 turns)
  • Move the copied triangle up on the x axis by .225*S back on the z axis by the same. (I chose .225 just as an amusing reference to the 22.5 degree turn; I think both are the result of choosing pieces per turn, somewhat arbitrarily)
  • Connect the sides of the copied triangles and make parallelograms out of them, and repeat till you complete a circle (four circles, in my case)
The parallelograms that result make shapes that fit the description of these pictures very closely. I wish I had had a measuring tape on me; it would be cool to see if it obeys the proportions.

More generally, they probably fit into the formula for a helix somehow: x=cos(t), y=sin(t), z=t. Which, of course, is the message encoded in the sculpture I designed.

But given the two arbitrary parameters I made (using 16 pieces per segment, and making the segment depth equal to 1/100th of the degrees per turn times the side length), its remarkable that someone else evidently chose to make the same arbitrary parameter choices.

Of course, they're not completely arbitrary, just guided by what seem like arbitrary aesthetic motivations. Sixteen is the fourth power of two, everyone knows powers of two are cool, and the other two nearest options (8 and 32) would have made it too elongated or too squished, respectively. As for the second choice: turning 22.5 degrees into .225 and using it as the ratio of the sides to the depth just seemed funny.

So we could express it's height H in terms of the side length S, Segments per turn G and number of turns T:

H=GT(S*((360/G)/100)


So, if
G=16, S=1, and T=4, it would stand 14.4 feet tall.

If it were made on the scale of the sculpture at U of M, where I'll estimate the S at five feet, it would be exactly seventy two feet tall. Is that significant? Not sure, I was just surprised that it came out to an integer value.

Curious about this, and in a procrastinative mood, I'll test how common this is. Given integer values of S, it looks like H will be an integer 1/5th of the time:
Now, its true that S=5 is the first of these integer values... and it remains true independant of the values of G and T even if they're not integers themselves. Unless T is an irrational number. It doesn't seem to matter what G is.

Cool stuff.

But wait, there's more! I found the sculpture on U of M's website, and it has a beautiful description and a meaning entirely other than what I associated with it.

Though, I note that there happen to be five parallelograms! Ahhh! Am I glimpsing deep mathematical truths, or merely numerological coincidences?

On Technocracy

Its funny how suspicion of technology and faith in technocracy seem to coincide in some people. Are these conflicting phenomena, or is there a connection between them?

It seems plausible that people who have little understanding of technology are unaware of its limitations, and as a result are overly optimistic about what it is able to achieve.

Perhaps this explains why people who call themselves Luddites also seem to often ascribe to technocratic government institutions.

Tuesday, August 10, 2010

BanannaPhone

Friday, August 6, 2010

I'm taking a couple of computer science classes in the fall, and they assume a prior knowledge of C++. Accordingly, I decided that I should probably learn it ahead of time, and have spent the last week attempting to do so. I've come to the point where I'm fairly comfortable with the syntax and style. Behold, a sort function I've just written!
I must say, I'm not a fan of member functions. I understand their purpose as far as making the code easier to read, but setting them up and debugging them seems not worth the hassle. As far as language evangelism goes, I think I prefer the functional style.

Thursday, August 5, 2010

Amusing Artifact

There's some wonderfully ironic and telling symbolism in this paperweight I came across today. Its intended to look and feel like gold (its really heavy), and is probably made of lead.