So, I played around a bit.
And if you reroll all of your HD each level, the curve gets even tighter. Ie, whenever you gain a level, gain a new HD. Now roll all of your HD and add your constitution score. You may choose to keep your old HP, or use this new roll.
This is somewhat self regulating, in that a lower than average HP total will tend to be erased by a higher roll later.
For con bonus: any HD that rolls under your con bonus can be rerolled until it is higher than your con bonus. Wizards with 18 con may choose to roll forever, thus suspending the game until the DM gives in and lets them have a bandersnatch familiar.
And if you reroll all of your HD each level, the curve gets even tighter. Ie, whenever you gain a level, gain a new HD. Now roll all of your HD and add your constitution score. You may choose to keep your old HP, or use this new roll.
This is somewhat self regulating, in that a lower than average HP total will tend to be erased by a higher roll later.
For con bonus: any HD that rolls under your con bonus can be rerolled until it is higher than your con bonus. Wizards with 18 con may choose to roll forever, thus suspending the game until the DM gives in and lets them have a bandersnatch familiar.
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