spiral gallery
0101Logarithmic_spiral 0102fermat 0103clothoid 0104penrose_hex_spiral 0105Circular_polariz#10005 0106conical_spiral
0107loxodrome_tube 0108spherical_cycloid_tube 0109red_fractal 0110embedded_julia 0201dna_replicase 0202helianthus_whorl
0301nautilus_logarit#10013 0302Turitellidae 0303snail 0401TulipStair_Queen#10016 0402crazy_baroque_stairs 0501katrina
0502Low_pressure_sys#10019 0503Jupiter_from_Voyager 0601M101 0602Messier51 0603sombrero_galaxy 0604Warped_galaxy
0605black_hole_jet_diagram 0606Black_Hole_Milkyway

Also, check out a much bigger gallery of spirals.

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