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HORNS
(not limited to just these examples)
Any horn type, of any rarity, can be any length, and have as many curves, notches, twists as is within reason.
Generally:
2 Horns=Common
3 Horns=Uncommon
4+ Horns=Rare
Mutations can include things such as boar-like tusks (curved upward), and combinations of different horn types.
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Common
Common horns include anything that resembles the horns/antlers of deer, elk, or moose.
They can be as long/short/curvy as is practical, and can have any number of points.
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Uncommon
Uncommon horns include anything that resembles the horns/antlers of antelope species.
"Forehead", or "Unicorn-like" horns are also uncommon
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Rare
Rare horns include those that are made out of something that isn't normal "horn material", such as wood/rock/crystal.
These also include horns that are/resemble plant growth.
Instead of horns, having longer fangs, "tusks", is also considered rare. It is impossible to have both tusks and horns.