Cosmic
~10^22+. Observable universe, cosmic web, dark energy.
~10^22+. Observable universe, cosmic web, dark energy.
~10^15 to 10^22. Galaxies, clusters, filaments.
~10^10 to 10^15. Stars, solar systems, nebulae.
~10^7 to 10^10. Moons, planets, orbits.
~10^2 to 10^7. Mountains, oceans, continents.
~10^-2 to 10^2. Body, senses, tools, buildings.
~10^-5 to 10^-2. Cells, organelles, microorganisms.
~10^-8 to 10^-5. Molecules, compounds, proteins.
~10^-10 to 10^-8. Elements, ions, electron shells.
~10^-15 to 10^-10. Protons, neutrons, nuclei.
~10^-30 to 10^-15. Quarks, leptons, force carriers.
~10^-35 to 10^-30. The quantum foam. Planck length, Planck time.
The master die. 12 faces spanning Planck to Cosmic. Roll to select a magnitude band — dice of that scale emerge from the field.
8 triangular faces, 12 edges, 6 vertices. Dual of cube. Air element. Two pyramids base-to-base. 16 card slots, 160 gem capacity.
20 triangular faces, 30 edges, 12 vertices. Dual of dodecahedron. Water element. The roundest Platonic solid — closest to a sphere. 40 card slots, 400 gem capacity.
6 square faces, 12 edges, 8 vertices. Dual of octahedron. Earth element. The most familiar solid — the die, the building block. 12 card slots, 120 gem capacity.
4 triangular faces, 6 edges, 4 vertices. Self-dual. The simplest Platonic solid — fire element. 8 card slots (4 faces × 2 sides), 80 gem capacity.
12 pentagonal faces, 30 edges, 20 vertices. Dual of icosahedron. Cosmos/aether element. Plato said the gods used it to arrange the universe. 24 card slots, 240 gem capacity.
Every number exists in all three systems simultaneously. Auto-detection by glyph type — unambiguous because each system uses unique characters. SacredNumber.parse() handles decimal, binary, ternary.
Numpad as sacred input device. Vertical axis (2/5/8) = Ternary: ▼△▲. Horizontal axis (4/6) = Binary: ○●. Center (5) = Air/equilibrium. Buffer accumulates glyphs into numbers.
Three digits: Fire(▲/+1), Air(△/0), Earth(▼/-1). Balanced ternary — no sign bit needed, negation flips all digits. 13 = ▲▲▲. Force analysis counts element distribution. The deepest numeral form.
Two families: Open (□○) and Filled (■●). Shape is value (square=0, circle=1), fill is family. Symbolic reading: grounded/structural vs fluid/cyclical vs balanced.
2, 3, 5, 7, 11, ... Divisible only by 1 and themselves. The atoms of multiplication. Infinite (Euclid). Distributed by π(x) ~ x/ln(x). The fundamental theorem.
Sacred measurement units — facets, stones, trits. Portal-native units that map to but transcend metric/imperial. The language of sacred quantity.
Additive identity. Multiplicative absorber. Neither positive nor negative. The void from which number emerges. Placeholder, origin, nothing.
..., -2, -1, 0, 1, 2, ... Naturals extended with negatives. Closed under addition, subtraction, multiplication. Ring structure.
Ratio of circumference to diameter. Transcendental, irrational. Appears in circles, waves, probability, number theory. The most sacred ratio.
(1+√5)/2. Algebraic irrational. The ratio where whole:large = large:small. Fibonacci limit, phyllotaxis, sacred geometry.
Not a number — a concept. Limit behavior, unboundedness. Countable (ℵ₀) vs uncountable (c). Division by zero approaches it. The horizon of number.
Binary operator. Non-commutative. Identity: 0 (right). Precedence: 1. Also serves as unary negation. The inverse of addition.
Multiplicative identity. The unit. Neither prime nor composite. Generator of naturals by succession. Unity, individuality, the monad.
Binary operator. Commutative, associative. Identity: 1. Absorbing: 0. Precedence: 3. Repeated addition. Distributes over addition.
Binary operator. Non-commutative. Identity: 1 (right). Precedence: 3. Undefined at divisor 0. The inverse of multiplication.
0, 1, 2, 3, ... The counting numbers. Closed under addition and multiplication. Foundation of arithmetic. Peano axioms. The first infinity.
Binary operator. Commutative, associative. Identity: 0. Precedence: 1 (low). a + b = b + a. The most fundamental combining operation.
p/q where p,q ∈ ℤ, q ≠ 0. Dense in the reals but measure zero. Countable. Field structure. Every ratio of whole numbers.
√(-1). Extends reals to complex plane. i² = -1. Rotation by 90°. Euler: e^(iπ) + 1 = 0. The orthogonal dimension of number.
Binary operator. Right-associative (2^3^2 = 2^9 = 512). Non-commutative. Precedence: 5 (highest). Repeated multiplication. Growth and decay.
The continuum. Rationals plus irrationals. Complete ordered field. Uncountable. The number line. Where analysis lives.
Numbers as coordinates — every integer maps to a position in the family lattice. Triads, quads, pentads, hexads. The geometry beneath arithmetic.