The foundation • < ⊙ > ○ names The Infinite (counting cannot begin), Finity (finite manifestation; approximation toward a finite limit), and Infinity (recurrence without convergence). These are selected philosophical readings, not numeric operands.
VMO × SKA = Emergentist Exergy. Under the selected normalization, E_B=VMO×SKA=4x/(1+x)² reaches maximum value 1 at x=1 on the ray and across the whole equator on the sphere [A/S]. The glyph ⊙ is the typed locus marker [I], not a numeral or a unique ball-centre point. Physical calibration remains open. Finity’s realm is distinct from convergence; π approximations have no last digit, and the Barber rule is unsatisfiable.
Burrisphere · selected G7 projection · [I]
Four quadrants. Three Titan stations.
The Burrisphere makes the selected action grammar visible: four bearer-directed transfers, crossed with possible/actual power channels, occupy the bottom action plane. Ego/collective is a correlated interpretive gloss—not another independent axis. Dissolution at the plane, preservation at the schematic middle F3 station, and creation above form the separate Titan axis. That station is not a Euclidean ball-centre point.
01 · The plane
Four bearer-oriented transformations fill four quadrants.
The horizontal distinction is taking↔giving; the upper/lower distinction is possible↔actual power. Plain functions precede mnemonic names.
02 · The axis
The Titans are bottom, centre, and top—not extra quadrants.
They are read-only frame classes. They describe whole-field direction without themselves becoming acts or agents.
TitanFrame={0_T,1_T,∞_T} is an opaque selected frame. The token 1_T is not the glyph ⊙, the numeric Exergy value 1, or a Euclidean sphere-centre coordinate. Familiar glyphs and numerals are renderings, not permission to add, multiply, divide, exponentiate, or causally animate the Titans.
03 · The unveiling turn
The one complete 360° turn is read against four sectors below.
In this bounded sense the Burrisphere unveiled the Rosetta: one figure separates the bottom M4 action plane, the vertical F3 axis, and the three directions toward the Titans (L5 toward ○, L6 toward •, L7 toward ⊙), which are movements, not positions on the plane. [I]
Swipe or scroll sideways to inspect every label in the complete topology.
stationary F3 axisbottom-plane phase trace
M4 occupies the bottom action/projection plane, not longitudinal sphere territories. Its co-location with the lower reciprocal chart is interpretive and never means a raw chart radius x is the node factor SKA₄. The four phase labels, clockwise direction, and phase zero are public display choices only.
04 · Chart balance and sphere Exergy
Two distinct profiles share their maximum at x = 1.
The chart-balance proof and the normalized Exergy proof use different functions. Raw reciprocal radii alone prove neither maximum.
x→∞ · 1/x→0 · q_H→−1Vward [I]
shorter horizonpresent-facing
x→0 · 1/x→∞ · q_H→+1Φward [I]x=1 · q_H=0equal chart weightsDharma / flow [C]longer horizonfuture-facingVMO × SKA = Emergentist Exergy. With VMO=2x/(1+x) and SKA=2/(1+x), E_B=VMO×SKA=4x/(1+x)² reaches its maximum value 1 at x=1 on the ray and across the whole equator [A/S]. The factor scale is selected [S]; physical calibration remains open.
The separate chart-balance function is B=2/(x+1/x)=2x/(1+x²)=sin θ≤1. It reaches its own maximum `1` at x=1, since x+1/x≥2 [A]. For the selected profile, E_B=2B/(1+B); this derived relation makes their order agree without making balance and Exergy the same quantity. The raw radii x and 1/x have constant product, which does not establish either maximum. The horizon reading is selected `[I]`; chart coordinates are not node powers, and the 360° display path remains non-temporal.
The centre has zero chart tilt, not zero real tradeoffs. Whether it yields least bearer-wise opportunity regret, flow, or Dharma under complementary present/future demands is a `[C]` wager against tilted and native-domain rivals. Status: OVERLAY NOT RUN.
05 · Strategy compressed
Four cells organize a selected strategy vocabulary; its measured losses remain visible.
Game theory is not exhausted. The sphere does not enumerate games. It proposes a cross-game orientation basis: two directions crossed with two power channels.
channel: VMO₅ possible/model ↑ · SKA₄ actual/embodied ↓self/ego-facing taking ← direction → other/collective-facing giving
Public mnemonic `[I]`: ego versus collective · theft versus sacrifice · mental versus physical power. These compress the Gestalt; they are not exact identities or moral verdicts. VMO₅ includes linguistic, institutional, and computational possibility—not only private mentality.
Scope [S/I/C]: the cross closes a selected four-cell vocabulary. Its distinct two-axis compression extension needs a frozen encoding, target and comparator evaluation. Related measured result [B]: both four-contrast M4-01 implementations were KILLED within their declared tests; neither is a measured optimal code. These scoped losses do not refute every four-cell vocabulary, and the vocabulary supplies no compression proof. Read the measured scope and surviving research →
06 · What supplies the seven
The vocabulary supplies the count; the picture supplies a view.
This ordering prevents the drawing from being mistaken for a derivation.
Count source · [S]
M4 four transfers
+ F3 three frames
= G7
Projection boundary · [I]
The Burrisphere positions the four as quadrants and the three as an axis. Its coherence may aid understanding; it neither derives the count nor validates an ontology.
Source ladderD5 powers → G7 vocabulary → Burrisphere projection → Rosetta comparisonD5 source-bound page
07 · Non-identity fence
G7@1 ≠ GEN7@1
Two sevenfold structures coexist in the corpus. They do not make the same cut.
Four plus three
Four sector transformations on the plane plus three directions toward the axial Titan frames. It is an action-and-frame projection.
Three plus one plus three
Three mirrored pairs, L1↔L7, L2↔L6 and L3↔L5, plus L4 the pivot. It is a pairing, not a meridian ladder.
The seven-latitude ladder is retired as seat placement (owner ruling 2026-09-24). B = sin θ stays a chart fact about the sphere [A], never a seat address. Geometry does not force seven; shared count is not truth evidence.
08 · Return to consequence
A position on the sphere never decides whether an act is just.
The diagram describes proposed transformations. Actual judgment begins where the abstraction ends.
Giving may be coercive or destructive; taking may be consensual, reparative, or lawful. No quadrant, alias, sign, pole, or direction carries moral standing by itself.
For a consequential act, name every affected bearer, authority, consent, custody, payer, beneficiary, reversibility, Exit, intention, and outcome receipt. Then return through the Soul Loop and revise.