Is there another way to make both a triangle and a trapezoid in one program? Or how can I transform this into another kind of loop?

How do I transform this into REPEAT-UNTIL loop or FOR loop? Or maybe there's another way to make both a triangle and a trapezoid in one program? The program requires details as if the program's talking to people. Thank you very much. I'd really appreciate your help.

def triangle(n, m):
        if n == m:
            print(("*"*n).center(20))
        else:
            triangle(n-2,m)
            print(("*"*n).center(20))

print("Type 1 to make a triangle and type 2 to make a trapezoid")

while True:
    while True:
        figure = int(input("Input the code of the desired figure: "))

        if figure !=1 and figure != 2:
            print("input does not fit")
        else:
            break

    if figure == 1:
        while True:
            n = int(input("Input the number of pattern desired (must be odd number):"))
            if n % 2 == 0:
                print("Must be odd number!")
            else:
                break
        m = 1

    elif figure == 2:
        while True:
            n = int(input("Input the number of pattern desired (must be odd number > 3):"))
            if n % 2 != 0 and n > 3:
                break
            else:
                print("The number must be odd and greater than 3!")

        while True:
            m = int(input("Input an odd number less than " + str(n) + " and greater than 1 : "))
            if 1 < m and m < n and m % 2 != 0:
                break
            else:
                print("The odd number must be less than " + str(n) + " and greater than 1")

    triangle(n,m)

    while True:
        tryagain = input("Do you want to try again? (y/n): ")
        if tryagain != "y" and tryagain != "n":
            print("input does not fit")
        else:
            break

    if tryagain == "n":
        break