Ripheus23

Cantor's Deck and the Platonic isoplexes

How does the magic dice game work? I've decided that each time the Advocate and Opponent roll the dice, there is at least one card game going on somewhere else in the multiverse, as is named Cantor's Deck. Two players each pick either the Advocate or Opponent cards, and then they get a hand of cards each with a picture of dice on it. There are another Advocate and Opponent card apiece hidden in the rest of the deck. A winning hand is known as Cantor's Hand. The dice depicted in the pictures do not have symbols for whole numbers on them but for aleph-numbers.

Now, an isoplex is a geometry with an infinite-dimensional (aleph.0-dimensional) and infinite number of facets/sides/w/e you want to call them, each with the same number of surface iterations. Now an n-isoplex therefore has n facets.

Consider a 1-isoplex. In this case, each facet of the structure has 1 angle/side/face/w/e, throughout an infinite number of higher rational-numbered dimensions. But a 10-dimensional object enclosed with only 1 point is a degenerate geometry, and in the 11th, and so on and on, up, and down to the zeroth dimension this is so; so these phenomena are also known as isocrystal singularities.

(I haven't thought of a zero-isoplex except by name, but it sounds like it would have some crazy mathematical function.)

On the other hand, some isoplexes might have what I am calling "obgenerate geometries." For example, the 6-isoplex has 6 angles in the 0th and 1st dimensions, which is an overabundance, so to say. (IDK if this is mathematically possible but it seems like it might be.) So there is a range of isoplectic crystals in which they harmonize and endure; otherwise they quickly (almost instantaneously) explode or collapse. These are ones within a certain range of ratios between the isocrystal's obgenerate and degenerate geometries (its obset and deset, as they say). And it just so happens that it is the Platonic solids that correspond to the n-isoplexes that exist within the "island of stability," here. (So 6-isoplexes are stable, for example, as long as their 3-dimensional state is cubic and not hexahedral.)

One aspect of the arrangement is that the aleph-numbers of the Platonic dice are keyed to 2 aleph-numbers in a special transet. This and the dynamic of the isocrystals were an ancient (24,000,000-year old) phenomenon that helped the Host of Ripheus build the Keyscape.

The trick of the Keyscape with respect to the isocrystals is that Ripheus' Host engineered a different artifact to harness the unstable ones. This was a 23-dimensional fractal object that focused the energy flowing through the unstable isocrystals before it was lost to the dissolution of the gems.

Now, the Platonic dice, when rolled, rotate their correspondent isocrystals. This rotation adjusts the flow of energy in the noumenal domain, so depending on whether the Advocate (good) or the Opponent (evil) has the higher score in their game, at any given time, either of the two aleph-numbers keyed to the Platonic transet can be invoked in the physical domain, either increasing or decreasing the universal probability of good or evil at that time (in the use of magic: i.e. if the Advocate's score is much larger than the Opponent's, a much larger amount of noumenal energy gets cycled through the isocrystals and into morally-correct uses of magic).