BCI's are more "common" in the pet trade in many ways. When someone says "boa constrictor" a BCI is the one that will pop into most peoples' heads. There are more BCI morphs out there and a lot more breeders. The availability is higher and normal BCI babies usually can be found in pet stores. If someone has to ask whether their snake is a BCC or BCI, then it's almost always a BCI.
As for BCCs, they are more expensive and have much more distinguished features. They're considered "true" red tails because their tails are, well, truly red. The tail is often longer and a much deeper and contrasty red color. BCC features are usually sharper and more reduced. They have outlines down their back that look like they might have been drawn with a fine-point burgundy sharpie. They're that thin and pecise.
You'll also notice that a BCC generally has less saddles, all of which have distinct "peaks." A BCI will have saddles that look more like ( ) while a BCC will have saddles that resemble { }.
Both are beautiful snakes. They are similar in a lot of ways, but still very unique and variable. As I understand it, BCCs can grow slightly larger than BCIs. Otherwise, they're pretty alike in temperament and care.
"Normal" BCI:
(my pic)
(The_RedTail on Flickr)
"Normal" BCC:
(pics belong to Tomáš Borovička)
(random google pic)
(pic belongs to user boaperson at RTB.net)
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