Rabbit colors is a great resource for seeing how the different rabbit genes interplay. The link is to the website,
http://rabbitcolors.info/ I didn't see a specific entry for a tricolor Lionhead, but the site can be helpful when looking for particular color patterns.
You can look on the internet for any breed in tricolor, the genetics are the same for Lionheads. Tricolors are simply broken harlequins, so the same color rules apply as for any other broken. You can have brokens with a broad blanket of harlequin on the back, with the classic white feet and colored eye rings and nose butterfly on white. Some tricolors take after the English Spot pattern--with dots of harlequin color on a white background.
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This is an English Angora tricolor, with too much white (40-60% would be better). Rabbits with 10% or less white are called 'booted', they generally are all colored except for front feet (hence the 'booted'), usually a stripe on the head and often a collar, much like the Vienna marked rabbits. The difference is that Viennas throw more Viennas, while the rabbit above was sired by a booted--booted rabbits carry the spotting gene, and can any broken pattern from booted through normal showable patterns into 'Charlies', which have 10% or less color, generally just the eye rings, nose butterfly, ears, and a stripe or a few spots down the back.
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This English Angora tricolor has poor color patterning as well, with too little white, only a few splashes of it here and there. Sorry, I don't have a good tricolor photo.