Though, from what I've read, the genetics for fraternal twins are passed on maternally... so if your mother was a twin, the likelihood of you having twins is greater than if your father was a twin.
Not quite. It
appears to be passed on maternally because a father cannot influence if a couple has twins or not. The dad is only responsible for the spermies. Mom is the one who is responsible for the number of eggs floating around at the time of fertilization, and multiple eggs at that point is what results in fraternal twins.
This is usually where people talk about it "skipping" generations too, because if the dad is a twin, he can't make his WIFE hyperovulate, therefore they won't be any more likely to have twins than if he didn't carry the gene. However, if he has a daughter, she is likely to have the gene, therefore she is likely to have twins.
OTOH, let's say there is a man, who is a twin, and he has a son. That son isn't going to be a carrier for hyperovulation, because the gene is believed to be linked to the X chromosome. The only way the father can pass the gene along is if he contributes an X, by which I mean he has a daughter, since men can contribute either X or Y and women only contribute X.
So yes, I suppose in that particular case you could say it's "more likely" to be passed along from the mother, because technically a twin man who only has a boy would extinguish the passing along of the gene, whereas a mother will (assuming it's passed along 100%) will ALWAYS pass it along being she ALWAYS contributes the X.