Fasciation

Found two specimens of plant fascination today;IMG_20150705_153211 a deformation growing from a damaged bud. The purple one is liatris that was growing near train tracks along the bike trail between Ballard Fred Meyer and Lucca statuary. The other a dahlia from my yard. What causes this mutation or splitting/webbing of the flowers? Is it repeatable, can I propagate the freak plants? I intend to find out.
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