Again with the bad maths. Crits DON'T add static bonuses.
You are correct, I was still thinking v3 where the ability bonus was doubled. But that is a reading problem not a math problem.
What? No seriously, what? The average of a GWF Greatsword is (3.5+3.5+3+4+5+6)/3, or 25/3, which is 8.333(...). Therefore three attacks with a +5 modifier are 40 damage (25+15).
Ah, I see my mistake here, I was using a d12 for some reason instead of 2d6. That definitely shows that Greatsword is better than Greataxe with GWF.
Wrong. It lowers the bounds of hitting on more than a 20/missing on more than a 1, adding 5 columns.
For GWM/Sharpshooter, we only care where the inflection point occurs, which seems to be around a 25% to hit (more or less). Above that it will always be better than not taking the penalty, so to each their own. If you feel that adding 5 columns prove the point then more power to you.
Wrong. Because the TWF still only gets the same bonus, whereas the others are now getting three more instances of their bonuses.
Uh what? A Fighter with TWF and DW at level 11 gets 7 attacks each with a damage bonus (3 attacks + bonus + 3 attacks with action surge). You still get your primary attacks on the action surge, you just don't get an additional bonus attack. Everyone else is getting 6 attacks. That looks like 7 applications of damage bonuses vs 6 applications of damage bonuses. I haven't run the numbers but 9.5 points isn't likely to make it change position when averaged out.
It's worse than Archery at almost all numbers.
You are being pedantic. I said exactly the same thing about archery vs twf -- using your own table btw. Now if you had run Sharpshooter we might be able to say it is always worse.
I did maths for three years at university. And the only thing I learned is that I really needed to check my workings more. So now I do
Really, three years of math at university? Wow! Did you need a cookie? We are just doing basic math here with some basic of statistics. I would hope you could achieve that by secondary school.
You seem fairly uptight. This is a message board about a game. You are really invested in the word 'wrong'. How about just a civil discussion instead without all of the BS?
TWF is worse than archery, something we both had already determined. Again by your own table, it looks to be better than one-handed or two-handed. TWF also gives a +1 AC (though probably not that useful at 11th level) and allows the ability to deliver two different damage types. This only gets better if the weapons can be enchanted or poisoned.
So this doesn't look like a trap to me. Of the 4 styles it is generally better than two of them for producing damage. It certainly doesn't seem to need a boost or fiddly mechanics.