Cubic Buffalo Tropic Mirror

The degree-3 Buffalo map x' = |x^3 - 3xy^2| + a, y' = |3x^2 y - y^3| + b iterated over the parameter plane and framed on its main body. Folding after the cube puts the fold set on six lines through the origin at 30 degree spacing, which is where the taller narrower horns come from. Transposing c from a + ib to b + ia leaves the whole orbit's modulus unchanged, so the set is exactly bilateral about that line and the frame is turned -45 degrees to stand it upright.