Singingbanana Maths puzzle

import math

maxvalue = 90

board = maxvalue*["B"]
counter = 2

def flipPiece(board, piece):
    if board[piece-1] == "W": #"-1" because ordinal -> cardinal
        board[piece-1] = "B"
    else:
        board[piece-1] = "W"

def counterPossibilities(counter):
    possibilities = math.floor(maxvalue / counter) #math.floor rounds down any floating point
    return int(possibilities)

def flipBoard(possibilities, counter, board):
    for i in range(1, possibilities + 1):
        flipPiece(board, counter * i)

while counter < maxvalue + 1:
    flipBoard(counterPossibilities(counter), counter, board)
    print(board)
    print(counter)
    counter += 1