The quadratic progression is per candidate (or issue or whatever object is being voted on).
If you have 91 tokens, you can vote once for each of 91 competing choices. Or you can vote 6 times for one option: 1 + 4 + 9 + 16 + 25 + 36 = 91. Or twice each for 22 options, with three tokens left to vote on three more.
I don't think that is even necessary because the current voting systems already eliminate the fringes. For instance in many countries there is effectively a persistent two- or three-party system, even though other parties make an appearance.
More than anything, the system just places power in compromise, which is nothing new - in a one-vote system, a person who is willing to vote for a centrist politician has more political power than me, a fringe voter, because their influence on the election result is better-felt.
If numerous choices are really just minor variations of the same choice, that tends to undermines the system with a rather gaping hole. The cynical observer might note that in fact that's the idea behind it: entrench the power of the bland, indistinct choice in leadership.