Lord of the Rings Day

Et Earello Endorenna utulien
Sinome maruvan ar Hildinyar tenn' Ambar-metta!
Out of the Great Sea to Middle-earth I am come,
And my heirs, unto the ending of the World!

Thus spoke Aragorn son of Arathorn, of House Telcontar, at the end of the War of the Ring. On this day, the 25th of March (3019, T.A.), the allied Host was surrounded by the forces of Sauron upon the Slagg-hills, even as Frodo and Sam destroyed the One Ring in Barad Dur and brought about the fall of the Dark Lord, one of the Maiar of Aule, and with him, the last of the kin of Morgoth Bauglir was gone. The War of the Ring, however, ended only with the Battle of Bywater, wherein Saruman was slain by Grima Wormtongue.



Celebrate today by reading any one of Tolkien's ambitious works, be it the three-volume Lord of the Rings epic fantasy novel, its prequel The Hobbit, or the all-encompassing sequel The Silmarillion. Many do complain about the vast numbers of characters in Tolkien's works, but give it some time. Read slowly, enjoy the descriptions of the fantasy realm of Tolkien's World, revel in the scenery, culture, myths and lore of the six races, and his characters will more than come to life.

Mathematizing The Lord Of The Rings

Fundamental entities

Set of parameters: P(θ) = {θ₁, θ₂, ..., θ_n} = P^θ

Set of constants: C(φ) = {φ₁, φ₂, ..., φ_n} = C^φ

Constitutional entities

Problem space: I_P(x, y, z, t) = I_{P(x, y, z, t)}(P_i^θ, C_k^φ)

Solution space: I_S(x, y, z, t) = I_{S(x, y, z, t)}(P_j^θ, C_l^φ)

Active entities

F(θ, φ): I_P(x, y, z, t) --> I_S(x, y, z, t)

E(x, y, z, t) = Ē

Game definition

Players

P^F: Frodo Baggins / P^S: Samwise Gamgee / P^P: Peregrin Took / P^M: Meriadoc Brandybuck / P^G: Gandalf / P^A: Aragorn / P^L: Legolas / P^I: Gimli / P^B: Boromir / P^R: Faramir / P^D: Denethor / P^S: Saruman / P^Z: Sauron / P^H: Gollum

Fixtures

C^S: Shire / C^B: Bree / C^W: Weathertop / C^R: Rivendell / C^C: Caras Galadhon (Lothlorien) / C^M: Moria / C^O: Rohan / C^H: Helm’s Deep / C^G: Gondor / C^L: Morgul Vale / C^Z: Mordor / C^U: Orodruin / C^I: Isengard

Problem function

I_P, _Ē = I_P(x, y, z, t, u)[({P^F, P^S}, {P^R, P^H}), ({P^P, P^M, P^G, P^A, P^L, P^I, P^B, P^D}, {P^S, P^Z})]

Solution function

I_{S, Ē} = I_P(x, y, z, t, u)(P^F, C^U)

As simple as that.

[caption id="" align="alignleft" width="240" caption="Making sense of Middle Earth"][/caption]