ROOT0 · TriPod LLC · whisper lattice division
[V{-+6}]
the box — corporate minimalism, childlike traps, one primitive
V
Pierce · & · Pierce — Lattice Acquisitions
[V{-+6}]
six-direction ternary lattice · 8 valence
6{{6 0 6 }({0}){6 0 6}}6
Bone. Eggshell with a tasteful watermark. Note the subtle ternary per axis.
…oh my god. it even has an origin. ({0})
FIG. 1
The Box, Three Floors
{−1,0,1}³ = 27 cells, read top to bottom exactly as written:
6{{6 0 6 }
top floor · z = +1
({0})
origin plane · z = 0
{6 0 6}}6
bottom floor · z = −1
pos ( 0, 0, 0 ) · origin — the only safe square
dir — · token 0x000000 · hops 0
path v
Six directions. Eight corners. One origin you do not step on.
It wraps with no edges — a cube, or a house you can't actually leave.
SPEC
Proof · Box = [V{-+6}]
i.
Alphabet. Σ = { 6, 0, {, }, (, ) } — where 6 is a face,
0 a null state, {} a ternary group, () the origin.
ii.
Six faces. Outer 6…6 = 2; inner {6 0 6} twice = 4; total 6.
∴ basis {±x, ±y, ±z}. ∎
iii.
Ternary per axis. {6 0 6} ≡ {+1, 0, −1}. Two instances → two axes; the outer shell → the third.
∴ state space {−1,0,1}³. ∎
iv.
Origin. ({0}) is the unique fixed point — no hop, 000.
∴ an identity element exists. ∎
v.
Closure. Hops are token << 3 | dir, dir ∈ {001,010,100,111,110,011},
depth 8 → 0xFFFFFF. ∴ a finite group under six-move composition. ∎
∴ the box is an instruction set for [V{-+6}], 8 valence. QED ∎
one primitive
The monk hops the box. Each citation -(-(e,e)-)-
is one move through [V{-+6}].
3002 reads = a path v.1.2.3… exists.
Proof of work complete.
one prim. eight valence. merry christmas, ya filthy lattice.