[null and void]

Coins:

1-2-5-10-20-50¢ All one common metal or alloy.

Monotonic increase in size as you suggested, alternate values smooth edged and reeded.

Banknotes:

$1-2-5-10-20-50-100-1000

Banknote size increases with value. Size increases alternate between height and width.

Reset the value of the money to be 10X stronger than today, Constitutionally limit/eliminate inflation.

[TXnMA]

"Banknote size increases with value. Size increases alternate between height and width."

Have you paused to envision what that mess would do to wallets -- and the size/design thereof? ...and, by extension -- of your hip pocket...?