A group of regular fractal models for real snowflakes is proposed on a triangular lattice. The scaling form of the dynamics exponent of the kinetic Ising model on this group of fractal models, Z=${\mathit{D}}_{\mathit{f}}$+3/\ensuremath{\nu}, is found by the exact time-dependent renormalization-group method. The dynamics exponent, Z=${\mathit{D}}_{\mathit{f}}$+3/\ensuremath{\nu}, is suggested for real snowflakes. Critical-dynamics behavior of the kinetic Ising model on fractals with ${\mathit{R}}_{\mathrm{min}}$=2 is investigated. The universal form of the dynamics exponent, Z=${\mathit{D}}_{\mathit{f}}$+R/(2\ensuremath{\nu}), is suggested for fractals with ${\mathit{R}}_{\mathrm{min}}$=2.