A core fighter, no optional rules, no magic items, no subclass in the first pass.@TheSword already covered tiny hut & I'll go into extra detail on why this is a red herring.
First off is that casters are literally linear in their scaling while fighters are not. Any mods or extra dice GWM etc on their weapon are multiplied across each attack and they get to add their strength or dex mod to those for free before even getting into class abilities like recharge on short rest action surge Fighters gain an extra attack at 5 11 & 20 then get to double that once per long or short rest & then twice per at 17... that is quadratic not linear
Uses a two handed sword and defensive fighting style, because easier math. 16 strength, increasing to 20 at level 6.
I'll ignore crits to make it easier, as they are linear.
8 fights per day, 2 rests, 3 rounds per fight.
Level 1: 10@+5 x 24 actions
Level 2: 1 action surge (x27 actions)
Level 4: 11@+6 (x27 actions)
Level 5: 22@+7 (x27 actions)
Level 6: 24@+8 (x27)
Level 9: 24@+9 (x27)
Level 11: 36@+9 (x27)
Level 13: 36@+10 (x27)
Level 17: 36@+11 (x30)
Level 20: 48@+11 (x30)
We'll stick with a foe with 21 AC who is immune to crits, just to keep it simple. Then the total damage done is:
Level 1: 60
Level 2: 67.5
Level 4: 89.1
Level 5: 207.9
Level 6: 259.2
Level 9: 291.6
Level 11: 437.4
Level 13: 486
Level 17: 594
Level 20: 792
That is pretty damn linear.
(Fixed an error in accuracy. I used 21 AC and no crits because it let me do Damage per Action times Accuracy times Number of Actions divided by 20 to get daily damage, and I wanted a fixed AC foe to factor in accuracy effects.)
Now optional things, like items and feats and multiclass charop, can make things curve upwards. But the core game, fighters are really linear.
I mean, take a cloak of invisibility wearing level 20 fighter using a gridle of 30 strength and flaming halbard with PAM and GWF.
They hit on a 10+ for 80% accuracy 10% crit rate, 4 times per action for 1d10+2d6+20 (32.5) and 29.5 shaft once per turn (24 turns). They also get a reaction attack 1 round in 3 (so 8), say, each for 32.5.
32.5 * 4 is 130 damage per attack. 80% accuracy means 104 damage hits per attack, and 23.6 per bonus action and 26 per reaction.
At 30 actions * 104 + 24 bonus actions * 23.6 + 8 reactions * 26 it comes to 3894.4 damage, almost 5x what the baseline fighter manages.
But that is the impact of items and feats.
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