You can summon a Blue-Eyes Ultimate Dragon by using Summoner of Illusions's effect to tribute another monster on your side of the field. However, Blue-Eyes Ultimate Dragon will be destroyed during the End Phase on the turn that it was summoned this way.
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So the other day I was testing my blue eyes ultimate deck against some NPCs, and I got literally the perfect starting hand. I went first, and I started with 3 blue eyes and one polymerization. I have a screenshot of it. I just don't have the image on my PC. I can post it later if anyone is curious.