I get what you're saying blueeyedpony but I'm pretty sure there's never been a homozygous tobiano with NO white whatsoever. A horse with absolutely zero white is likely to be the only type of horse without any pinto pattern. Not for sure of course, but most pinto patterns will display physically albeit sometimes VERY slightly (coronet band, small snip, etc.) unless of course you're also dealing with grey.
That actually intrigues me - can a pinto gene be carried without a single physical trait? Can a horse be splashed white tobiano and not have a single white hair? Color experts? I know we've seen minimal whites but horses with NO white are fairly rare to begin with - what are the chaces they're carrying pinto patterns?
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I've heard of extremely minimal tobianos but because I'm not the greatest googler, I can't find one at the moment without a single white marking. I did find a mini with two white pasterns that is T/T. Minis are insane with their colors and patterns, so it would not be surprising to see a mini with not a fleck of white have at least 1 pattern. O.O
Frame is also extremely good at hiding, which is why we harp on those breeding (especially stock breeds) to know their horse's frame status.
Splash, frame, and sabino are all very good at remaining minimal and appearing to be only "normal" markings. My mare has a large blaze and is N/O. Another user has a mare with just a large star that tested N/O. I board with a SPB mare that has a two socks, a star, and a little snip that hooks on one of her nostrils that teases me about her splash status.