1As{3%!"Fizz"~5%!"Buzz">N=?~N<}\

1 | Pushes 1 to the stack.
A | Pushes 10 to the stack.
s | Pops 10 off and pushes the square of it (100)
{
  3% | Pops off the top value of the stack (for-loop counter) and pushes modulo 3
  !"Fizz" | Pushes "Fizz" if result is 0 (falsy)
  ~ | Pushes the value of the register (for-loop counter)
  5% | Modulo 5
  !"Buzz" | Pushes "Buzz" if falsy
  > | Moves the wheel pointer over by one (we are now in the string/regex wheel)
  N= | Compares top value to a newline
  ?~ | If truthy, push the value of the register
  N | Push a newline
  < | Moves the wheel pointer back by one (we are now in the math wheel)
}\ | Loops between 1-100, pushing the for-loop counter to the stack and to the register each iteration