Maths, where some rooms are a subject and an operation at once.
Arithmetic through calculus, set theory and combinatorics, with the finance and compound-growth forms kept beside them — each result indexed to the division it comes from rather than to the worked example it turned up in.
The model holds the domain; your org holds its own light on it.
A Hue Model is the world model of a domain — its rows, the positions they stand in, the two sides they fall on, and, where the domain has one, the source of truth that settles a row. There are no people in it. It is a model of the world, not of anyone in it, and it has no cutoff — only a last-visited state. You stand somewhere in it and it answers by position.
Stand somewhere, and the rows come to you
You copy a position out of the chamber's own map and send it back. No words are matched and nothing is guessed on your behalf — the door reads structure the index already carries, and answers with the neighbourhood you are standing in.
The rows below arrived with no search term at all, by position alone.
ALGEBRA
placed
9
observed
0
unobserved
9
reached
9
the rest of its floor
discriminant
b²−4ac — the quantity whose sign decides how many real roots a quadratic has before anyone solves it
feature
variable
Symbol standing for an unknown or varying quantity (x, y)
feature
algebraic expression
Combination of variables, numbers and operations without an equals sign
feature
equation
Statement that two expressions are equal
feature
linear equation
Equation of degree one (straight-line form)
feature
simultaneous equations
Two or more equations solved together for shared unknowns
feature
quadratic equation
Equation of degree two (ax^2 + bx + c = 0)
feature
polynomial
Expression of summed powers of a variable with coefficients
feature
coefficient
Numerical multiplier of a variable term
feature
EQUATION SOLVING
placed
9
observed
0
unobserved
9
reached
9
the rest of its floor
Solve a linear equation
Isolate the unknown by inverse operations (ax + b = c)
function
Solve a quadratic by factorising
Write as a product of factors and set each to zero
function
Solve a quadratic by the formula
Apply x = (-b ± √(b²-4ac)) / 2a
function
Solve a quadratic by completing the square
Rewrite as (x + p)² = q and take roots
function
Solve simultaneous equations by elimination
Add or subtract equations to remove one unknown
function
Solve simultaneous equations by substitution
Express one unknown and substitute into the other equation
function
Solve a linear inequality
Isolate the unknown, reversing the sign on multiply/divide by a negative
function
Solve a quadratic inequality
Find the critical values and test the sign of the regions
function
Solve an equation graphically
Read the intersection or root from a plotted curve
function
A position the chamber does not hold comes back as a question
NOT A REAL ROOM→UNKNOWN_CATEGORY
20 rooms
The door never substitutes a nearby name. An unknown position returns the map instead, so the next thing you send is a place that exists rather than a guess that looked close.
Every row arrives already knowing its state
The reading is not a ranked list. Each row comes back in one of three states, and the state is the useful part — it tells you whether to build on the row, to go and look, or to honour it before you do either.
Zero point
The contract the work must implement. It is present whether or not anyone went looking for it, and it constrains the answer rather than decorating it.
Observed
Rows your org has already returned on. A lit row carries your org's reading as well as the chamber's.
Unobserved
Reached, and your organisation has not returned on it yet. This is the invitation, and it is where a return is worth the most — every one of them is a row you can light.
Two sides, and an ask lands on one of them
Maths is indexed as the things it holds and as the things it does with them. Most rooms fall cleanly on one side; a few genuinely do not, and the index says so rather than choosing for you.
The objects
ALGEBRA15
ARITHMETIC PRIMITIVES12
FINANCE AND COMPOUND GROWTH12
COMBINATORICS10
GEOMETRY AND TRIGONOMETRY10
SET THEORY10
NUMBER SYSTEMS8
PROBABILITY8
ARITHMETIC SEQUENCES6
CALCULUS6
FRACTIONS AND PROPORTIONS6
FUNCTIONS5
LOGARITHMS AND EXPONENTIALS4
STATISTICS4
The operations
CALCULUS
9
EQUATION SOLVING
9
ALGEBRAIC MANIPULATION
7
ARITHMETIC PROCEDURES
7
GEOMETRY AND TRIGONOMETRY
6
STATISTICAL AND PROBABILITY PROCEDURES
6
PROOF AND REASONING
5
SEQUENCE AND SERIES PROCEDURES
3
Rooms that stand on both sides
CALCULUSGEOMETRY AND TRIGONOMETRY
These rooms stand on both sides because the subject and the operation are the same word here. A derivative is a thing you can hold and a thing you can do, and filing it once would lose half of it.
A result and the procedure that produces it are different questions with different answers, and the index keeps them apart wherever the mathematics does.
The hue is the identity. A language is a name for it.
Where a row carries more than one language, the names and the purposes are authored on the row rather than passed through a translator when you ask. You reach the same row, at the same position, in the words you think in.
82 / 168Rows carrying every language this chamber holds
AERFINANCE AND COMPOUND GROWTH
English
Annual equivalent rate — a market convention for comparing savings rates; no binding statutory or FCA definition (BCOBS 2 Annex 1R Note 1 is permissive)
German
82
Standardisierte jährliche Rendite einer Anlage (AER)
One row, in the languages it is authored in.
Seat levels
A Hue Models seat opens every Hue Model — the domains here today, and the ones that follow them.
Per seat, per month, pooled across the org — so one busy week never costs a quiet colleague their work. Lighting a row — returning what you observed — is the Observer's Index.
Before you compare two models
A hue identifies a row within a model, and never across them.
Bands are allocated per model and some overlap, so one hue can appear in more than one model. Each model is its own coordinate system, so two rows sharing a hue in different models are not related.