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When there is something obvious like d6 system, One Roll Engine, D20, Tri-Stat, etc... I can see going with that, but when you want a cool acronym and a pun in the title, it requires more intelligence than I have.
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"Perfect" is never a word to use. It's a promise that no game can live up to. "Creative" is definitely out in this context.
"The Universal Roleplay Design" is weak because of the blandness of "the" and "Total Universal Roleplay Design" is worse. "Universal" kind of implies "total". "True Universal Roleplay Design." (?) Not bad, if I say so, myself.
When looking for the perfect word, I've found the old stand-bys still work: a dictionary, thesaurus, and a lot of time. I knew I wanted to go with Ə-OH, so I went through every O and H word in the dictionary, making note of any word that showed promise. "Obsequious"? Maybe. Unlikely, but maybe. "Obsessive"? Better. "Original"? No. Everyone knows my work is stale and derivative.
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Now, I've neither read nor played Godlike, or any game that uses the One Roll System, but my understanding of the mechanics is that you roll a pool of d10s and look for sets of dice whose results are the same. The number of dice in a set determines the speed of the action while the number rolled determines how successful the action was. If a roll results in more than one set, the player chooses which set to use.
But let's say we want to develop a matching dice pool system that only looks at matching pairs, regardless of the number rolled, where a pair of 1s is equivalent to a pair of 10s. All we're looking for is the number of pairs. If we call a matching pair a success, then a roll of four dice that results in {2,2,7,7} gives two successes. How about the same pool rolling {2,2,2,7}? Here's where a little knowledge in graph theory comes in handy, not that it's difficult to understand. We have three dice, A, B, and C, all rolling 2. AB is a pair, AC is another pair, and BC is a third. So a set of three gives three successes. How about a set of four? Well, obviously that's six successes and a set of five identical results gives ten. Following on through, we get 15, 21, 28, 36, 45, and 55 successes up to ten dice.
Readers of Ə-OH, appendix A will recognize these as triangular numbers. What this has to do with graph theory is imagine each die as a vertex. Two vertices are connected by an edge if the two dice roll the same number. This scenario gives us a Disconnected Graph where each Subgraph is a Complete Graph (Ki) <- that's a K with a subscript i, K meaning Complete and subscript i means that each of the i vertices is connected to every other vertex. So how many edges (connections, matching pairs) are in Ki?, you ask. The ith triangular number, of course.
But back to the matter at hand. I think it should be quite obvious what a game with such a mechanic should be called: Search Through for Utopia, because you're looking for pair o' dice.
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blah
That should be the (i-1)th triangular number, unless you count 0 as the first number in the sequence (which it isn't).
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