Imbria (formerly Asperia/Reified Spellweaver)

[PlainDealingVillain]

If the angel who made unicorns only stuck half herself into the unicorn, why is she power-exhausted?

[Kappa]

She stuck all of herself that she had left into the unicorn.

[PlainDealingVillain]

Important Unicorning needed to happen on the urgency level of "oh god everything is burning"?

[rockeye_stonetoe]

People vary in psychology. Even angels, presumably.

[Kappa]

She knew that angelic power investiture produces more power in the priest or other target of investiture than it takes away from the angel, and that this seems to multiply rather than add. She therefore theorized that putting a massive amount of power in a single target-of-investiture would produce a result that was many times more powerful than the source angel. It seemed risky, but there was no finding out without somebody taking the risk.

Turns out, the more angelic power you invest in something at once, the harder it is to keep any back. There's an angelic instinct about this, which is why it felt so risky.

[MaggieoftheOwls]

Also, it was a Tialle.

[Kappa]

Developments:

The in-universe word for biological sapients of humanoid descent is elf-kin. There's some ambiguity about whether or not the term includes Dragonborn, and you might find people thinking of it both ways depending on context or getting confused about whether they count.

The academic archipelago is called Manafall and its capital is the City of Light. The nature forest is called the Forest and its capital is the Tree. The angelic territories are called the Blessed Lands and their capital is Heavensgate. Dragon territory is called the Dragonlands and it has no capital. Faessaya is still Faessaya and its capital is Liriesse. The giant hole in the ground full of demons is called the Pit, and this can refer either to the literal giant hole in the ground, its surrounding occupied territory, or wherever demons come from beyond the bottom of the hole.

I made a map. The border between Faessaya and the Dragonlands is not actually like that, but I think it involves mountains and idk how to draw those, so this is what you get.

[Kappa]

Imbria now has a cosmology!

There is an infinite flat ocean. Above the ocean there is an atmosphere. Below the ocean there is mostly more ocean. In the middle of the ocean, there is a continent, pictured in the aforementioned map. The continent has a day cycle and a seasonal cycle and various climates. I haven't yet decided how years and days are accomplished, but I do know that the place is a fan of symmetry. There's a reason why the infinite fountain of mana in the sky is almost precisely opposite the giant pit full of demons on the map.

[pedromvilar]

maths

---

Let

(actually )

(actually p(x) = 10*x^5 - (1496633087902717*x^4)/70368744177664 + (2571511666058701*x^3)/140737488355328 - (900904025108101*x^2)/70368744177664 + (45467*x)/7840)

(looks like this)

Let K be the constant recharge/growth rate angelic power (henceforth AP) has at all times, even when full.

Let M be the maximum extra rate of change in their AP cap, and N be the maximum extra rate of change in their current amount of AP.

Let m be their current AP cap, and c be their current amount of AP.

Then the instantaneous rates of change in their AP cap and current amount of AP are given by:



These equations do not have an analytical form, I think, and must be given implicitly, but you can always calculate them numerically. They however possess the following properties:

• Rate of max AP growth is maximised when current AP is between 1/3 and 1/2 of max, specifically 5/12;
• When an angel has not spent any AP their AP grows very slowly and linearly at a constant rate K (that is presumably tiny);
• If N < M the cap grows faster than the current amount of AP and the fraction c/m tends asymptotically to zero (but never actually reaches zero);
• If N > M the current amount of AP grows more slowly than the cap and tends to get almost but not completely refilled after enough time (not totally sure about this one the not-completely part, is intuition);
• If N = M max AP and current AP grow in lockstep at a constant rate.

[Kappa]

<333333333333333333 pedro i love you