An ambigram

Hemant mentioned that he wanted a "flying spaghetti monster" ambigram tattoo.

That struck me as a pretty tricky thing to do, so I had a go at just making "Spaghetti Monster" just to see if it was possible. It's a quick and dirty attempt with no artistic merit, but I think it's adequate as a proof-of-concept that an ambigram something like what he wants should be quite doable in the hands of a more accomplished artist with the time to attempt it.



The Atheist "A" was just something I tossed in at the last moment (I noticed it on my blog as I was about to upload a first attempt and wondered if I could work it in. The answer was "yeah, sort of").

Will Lie for $$$

The people providing political commentary on US TV are extraordinarily wealthy. As far as I can tell, they're all in the top tax bracket.

As a result, their opinions are necessarily coloured by that fact. Even the honest ones (a list which appears to be quite short) will give you the news filtered through the lens of its impact on them. So you cannot easily get much useful information about its impact on you. And many of them (I'm looking especially at some people on Fox News and CNBC) will lie right to camera if they think it will make them better off.

Their alarmism makes people make bad decisions. Instead of debunking the bad decisions they've caused, these parasites will encourage them. The lesson is threefold:

• You can't trust main-stream media. At all. Ever.⁽¹⁾


• You have to work things out for yourself. ⁽²⁾


• You can't trust main-stream media. At all. Ever.

1. Watch them by all means, but always assume that every word comes with an agenda, and make sure you understand how the person you're watching (and the people they work for) are lining their own pockets. Follow, as the saying goes, the money. They will tell you what's good for them, not what's good for you. They will tell you what's bad for them, not what's bad for you. They will exploit you.


2. That's a nuisance. There are plenty of sources of good information online, but there are plenty of bad sources of information, too. You have to equip yourself at least well enough to tell a good argument from a bad one, and read more than one source of information.

There's a major case in point on income tax. And it's not just the cable news and finance guys that you have to watch out for - networks and the newspapers are doing it too.

They're exploiting dumb people. They want you to be dumb too.

Specifically, one thing that's got me cranky is the way the media has been playing up stories about people trying to earn less than $250,000 in order to pay less tax (as discussed in several of the links). Instead of doing the responsible thing - explain the actual situation - they're encouraging you to misunderstand.

Most of my readers are very smart, so I'm probably stating the obvious, but let's look at what's going on.

Most western countries have a progressive tax system. That means that as you earn more, you pay a higher percentage of your income in tax (however, as you earn more, your ability to shift income in ways that lowers your tax rate also goes up, so it's sometimes not progressive at all).

This happens by there being progressively higher tax rates on the amount you earn above particular threshholds, creating what are called "tax brackets"

In the US in 2008, the top marginal tax rate (the amount you pay on your last dollar) was 35%. But the average tax rate for everybody is below that. What's happening is that the two highest marginal tax rates for those with the highest incomes in the US will in 2010 go ... back to what the highest two marginal rates were in 2000. That's all.

The very, very highest incomes will - in 2010 - be paying 39.6% on their last dollar.

The total (or average) tax rates for 2008 look like this (public domain image by Dejo):


What's happening is that in 2010, the green line will move up a bit, but in fact most people in the US will actually pay a little less tax - the red and black lines will only be higher up the right hand end - and most people are quite a way left of the middle of the graph).

Guess what? I already pay more than 39.6%. My marginal tax rate here in Australia is 40% (and it's recently gone down - I was paying 42%). If I was earning my current income in the US, I'd be paying 25%, not 40%. I pay a higher marginal rate of tax than every Rick Santelli in the US. Actually, if you include the way some of the government benefits reduce with income (something I strongly support), my effective marginal tax rate (impact of the last dollar I earn) is actually a fair bit higher than 40%.

The top marginal income tax rate here is 45% - oh, and there's also a consumption tax.

I experience very little disincentive to earn an extra dollar of income, even though I am paying a higher marginal rate of tax than everybody in the US will be paying, even after the tax changes come in. (The biggest disincentive I experience is simply the marginal cost in time, a far more scarce resource to me than money.)

I don't feel like I pay "too much" tax. I drive on roads. My kids go to school. I get less expensive prescription drugs than I otherwise would. When I have to go to the doctor, I get most of the money back. There are police, fire brigade, ambulance services and a hundred other things that make it possible for me to earn that money I pay tax on, and make it possible for me to enjoy the benefits of the rest of it.

I also gain the security of knowing there are a couple of safety nets available if everything were to go pear-shaped. The fact that other people are getting the benefit of those safety nets right now is not a source of envy - if you're badly enough off that you need them, there's really not much to be envious of.

Here's something to keep in mind: if they'll lie to you about that, what else can't you trust them on?

It's times like this I wish...

... that I had more than high school physics.

I was solving a nifty little optimization problem which occurred to me as a continuous version of a discrete problem that used to come up in an old computer game I used to play long ago. The problem boiled down to finding a best route of travel given two different speeds in different kinds of terrain.

Anyway, after a page of scribbling around, I came up with a formula for a simple case of the problem.

Then I realized that my simple case was (in a modified form) essentially going to be solved by Snell's Law (also called the Law of Sines). And sure enough, my simple formula was Snell's law (but changed about a bit so it wasn't instantly obvious, like having a ratio of cosecants of angles to the normal instead of sines - which is just a matter of inverting both sides...).

This is essentially what I was doing, but less formally and with a lot more faffing about and a few false starts. (It's easy to find on-line if you already know what to look for, eh?)

I felt like a bit of a dope. On the other hand, at least I was definitely on the right track. Since I'd had a headache all day, that was all I could manage in the time available, so I didn't go on to derive the problem I was actually interested in (the shape made by traveling as far as you could in a given time, given a particular boundary between the two regions), but with Snell's Law it should become a somewhat more straightforward calculation for the situations I was playing with (since it tells me "where to head" after striking a smooth boundary, so for the simpler cases it's a matter of computing where you end up given each boundary point).