For my higher math nerds, please see this https://youtu.be/KYaCtHPCARc

It’s a Youtube video from Infinite Series, in which they demonstrate that if you take a hypercube, and cut a hpyerplane across it, the three-dimensional object created is always either a tetrahedron or an octohedron. There are other, higher dimension objects, but each of these, if divided again and again to get a three dimensional object, resolve into our basic d4 and d8 shapes.

 

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4 replies on “There are good reasons why pyramids seem like entry points to regiones in Mythic Europe

  1. Not meaning to be nitpicky, but a tetrahedron is not your basic d4, since that has a square “base”, whereas a tetrahedron has a triangular “base”. This means the tetrahedrons do not make “regular” pyramids, as they would be three-sided pyramids. The “tetra” here refers to four sides indeed, but the fourth side is the “floor”, not one of the “slanted walls”. But the octahedron indeed forms a pyramid, just “mirrored” upsidedown. Two pyramids, one inverted and one regular on top of the inverted one, so to speak. This sounds incredibly interesting to me regarding Mythic Europe and entry points to regiones. I mean, just imagine that a pyramid with an inverted pyramid underneath, being a three-dimensional slice of a four-dimensional hypercube, might be an entrance to the Magic Realm, the realm of pure forms. Then a regular pyramid, without the inverted pyramid underneath, would seem like a not-quite-there version of a real entry to the Magic Realm, thus might lead to a Magic Regio, which is kind of a not-quite-there version of the Magic Realm. Makes me wonder how many pyramids in Mythic Europe might have a hidden inverted pyramid underneath them, underground, to turn them into gateways to the Magic Realm.

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    1. I’d like to correct myself there, though. A tetrahedron indeed is a d4, of course. What it’s not is a pyramid. Once again I’d like to reiterate that I didn’t mean to say I didn’t like your idea. On the contrary, I love it. Just wanted to expand on it. Besides, I like the fact that a magus could tell from the layout of the pyramid if it could lead to the Magic Realm, or just to a regio, without just an unexplainable die roll. Just by checking if it had a properly shaped underground area. Seems like it could open up interesting choices when exploring a “dungeon”.

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