A morph is a genetic colour and/or pattern mutation. They can be either simple recessive or co-dominant/dominant traits.
Some simple recessive traits in BP's include (but are not limited to) piebald, albino, ghost, and axanthic. Animals that carry this trait can either be homozygous (showing the trait) or heterozygous (look one way - usually normal - but carry the trait).
examples of the outcome of simple recessive genetics:
homozygous x homozygous = all babies will be homozygous (show the trait)
homozygous x normal = all babies will be heterozygous (also known as 100% het)
heterozygous x heterozygous = 50% will be hets, 25% will be normal, 25% will be homozygous (since you cant tell the difference between the normals, all babies will be labelled as 66% possible hets)
homozygous x heterozygous = 50% will be homozygous and 50% will be definite hets
heterozygous x normal = 75% will be normal, 25% will be hets, (since you cant tell the difference all babies will be labelled as 50% possible hets)
Some Co-Dominant traits include (but are not limited to) Mojave, Pastels, and Spider. With this form of genetics there are no "invisible hets" like with simple recessive, animals are either homozygous or normal. When two homozygous animals are bred together, the trait also gets sterngthened, also known as "super", hence the animals can be considered as "visible hets". A few examples include (using pastel as an example):
pastel x pastel = pastels and super pastels
pastel x normal = pastels and normals (50/50)
I hope that was able to answer some of your questions. I am still quite unclear as to what you were asking in the first part of your question