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Every Axie has 6 body parts and a body shape. Each of the part carries 3 genes: dominant (D), recessive (R1) and minor recessive (R2) genes. The dominant gene determines the body parts an Axie would have.
All genes have a chance to be passed down to the offspring. The chances of a gene being passed down follows below probability:
Dominant (D) = 37.5% chance
Recessive (R1) = 9.375% chance
Minor Recessive (R2) = 3.125% chance
Note that above totals up to 50%, which accounts for one parent. When you breed 2 Axies, the percentage sums-up to 100%.
Mystic and Holiday Parts
These are special and limited parts that can't be passed down via breeding.
Classes do not have recessive genes. Axie offspring have an equal chance to inherit either of their parents' classes (50%/50%). For example:
If the parents are aquatic and plant. The baby will have 50% chance to be aquatic and 50% plant.
If both parent are from the same class, the baby is guaranteed to inherit their parents' class.
There are random chance that your offspring Axie would get genes that are not present on the parent's genetics. This is called mutation. As for now, there is not enough information on the mutations probability to be written.