Nobody's explained why identical and fraternal twins are so interesting yet, have they?
Well, Aspie Lecture Mode go!
Identical twins split off from the same fertilized egg very early in the pregnancy--during the first few splits, it separates completely instead of just multiplying. The twins' DNA from the nucleus of that cell is 100% identical. There can be a few differences depending on which mitochondria each one got, though. Mitochondrial DNA is, obviously, in the little organelles called mitochondria, and they aren't in the nucleus, so identical twins can get different ones and so different mitochondrial DNA. They can also have different prenatal environments. I know this because my own identical twin and I had environments so different that she died at five months gestation and I did not. (I suspect twin-to-twin-transfusion syndrome, which happens when twins share a "leaky" placenta and one gets too much blood and the other not enough. It can cause heart problems in the twin who gets too much blood, which jives with my own heart murmurs and arrhythmias that I've been dealing with since I was a kid.)
Fraternal twins, on the other hand, are just like siblings sharing the same pregnancy. For some reason, their mother had two or more eggs finish developing during ovulation, and they were both fertilized with separate sperm. Fraternal twins are 50% identical, just like any siblings; but they share a similar environment. Because the tendency to have more than one mature ovum during one cycle is genetic, it can be passed on to one's offspring. That means that if you are a female fraternal twin, you are more likely to have twins yourself; and if you're a male fraternal twin, you can pass that trait on to your female offspring. Identical twins aren't genetic, so if twins run in the family, they're likely to be fraternal. Not that fraternal twins can't look an awful lot alike--they are siblings, and the same age on top of that; so figuring out whether they're fraternal or identical can sometimes be tricky.
So why are twins so interesting when it comes to genetics? Simply put, twin studies are a great way to figure out heritability and genetics-versus-environment.
Types of twin studies:
Identical twins raised together vs. identical twins raised apart: Compare these groups to figure out the effect of environment after birth.
Identical twins vs. fraternal twins or siblings: Compare these groups to figure out the effect of environment (in general) vs. genetics.
Fraternal twins vs. similar-age siblings: Compare to figure out the effect of twin pregnancy itself. Obviously complicated by the problem of age effects in the siblings. Ideally, one would compare fraternal twins from donated zygotes to same-age adopted siblings, but these are just not large enough groups to get any statistical significance.
If you're interested in the math of it, this Wikipedia page has the basics:
http://en.wikipedia.org/wiki/Twin_study
So, with autism:
Fraternal twins have a very slightly higher chance of both having autism than siblings do--about 5-6%. This shows that there's a slight prenatal-environment effect (though it could just be due to being twins and having to share resources and being more likely to be premature).
Identical twins are almost always both autistic--in the 95% range. When one twin is autistic and the other is not, the differences tend to be between a mild case of autism and NT with autistic traits, rather than an obvious case versus a social-butterfly NT.
Identical twins raised apart are also about 95% likely to both be autistic; so we're looking at genetic or prenatal-environment effects. From the evidence of fraternal twins vs. siblings, we can assume the prenatal-environment effect is small but present.