MSC Classification: 28A75-28A80-35R02-57Q70 Weierstrass Curve iterated fractal drum (IFD) fractal zeta functions Complex Dimensions of an IFD box-counting (or Minkowski) dimension cohomology infinitesimal intrinsic scale Toda-like system Hodge Diamond Star relation Poincaré duality polyhedral measure polyhedral (or polygonal) neighborhoods effective local and global polyhedral zeta functions prefractal cohomology fractal cohomology transfer operator Lefschetz operator Hodge decomposition functional equation dual zeta function and Weierstrass Curve fractal flow Frobenius operator Complex Dimensions MSC Classification: 28A75-28A80-35R02-57Q70 Weierstrass Curve iterated fractal drum (IFD) fractal zeta functions Complex Dimensions of an IFD box-counting (or Minkowski) dimension cohomology infinitesimal intrinsic scale Toda-like system Hodge Diamond Star relation Poincaré duality polyhedral measure polyhedral (or polygonal) neighborhoods effective local and global polyhedral zeta functions prefractal cohomology fractal cohomology transfer operator Lefschetz operator Hodge decomposition functional equation dual zeta function and Weierstrass Curve fractal flow Frobenius operator Complex Dimensions