I've got Wedding Cake as well, also from Burling, some years ago. I love the flowers, too--they petals are weirdly thick, almost vinyl-y on mine, and the entrancingly odd combination of colors is just like mustbntuts's pic above.
However, word when I bought it was that this rose doesn't flourish in hot climates--bought it anyway because I love the weirdness. And truly, mine is a wee, peaky little twig. It's barely grown in the 2-3 years since I bought it as a band. It's had some tribulations to face, like shading and a wonky irrigation system, but it's taken these challenges much more to heart than the other roses in the same bed.
I'm hoping that in the fullness of time, it will settle in and maybe sprout a second or even a third twig! If you live in a hot area and you like vigor and robustness from your roses (who doesn't?), you may want to pause before buying this one. That said, it's such a rare cultivar and has such an unusual look that I think it's worth giving it more leeway than the average rose.
I should add, in fairness to my tenacious but battered specimen, that despite being minute, it still has managed to put out 2-3 flowers. So it's not a complete wimp.
--plectrudis [formerly lurking and occasionally posting as "viridiflora"]
plectrudis (Zone 8b Central TX)