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Axiom Arcade
6 games at 60fps in pure .ax
Emergence
AND/XOR/MAJ produce Life=7
.ax Revolution
Ship of Theseus: .ax replaces everything
Bootstrap
sigma/sigma = sigma uniqueness

Biology

D^2 + K^2 = 13 = GATE

82 biological quantities. 93% axiom-smooth. 1.7x enrichment over random. The body IS the ring. Vitamins split at the GATE: D^2=4 fat-soluble + K^2=9 water-soluble = 13. DNA wraps around D^3=8 histones in K*b^2=147 base pairs. Every mammal has b=7 cervical vertebrae.

The Genetic Code

QuantityValueAxiom
Codons64D^6
Amino acids20D^2*E
Stop codons3K
Start codons1sigma
Reading frames6D*K
Codon positions3K
Nucleotide bases4D^2
DNA strands2D
BP per turn10D*E
Nucleosome histones8D^3
Nucleosome BP147K*b^2

Codons are K=3 letters long because K=3 is the minimum for closure (K reading frames per strand). D^6 = 64 codons encode D^2*E = 20 amino acids with K = 3 stop signals. DNA wraps D^3 = 8 histones in K*b^2 = 147 base pairs -- depth squared governs the spectral gap of the TRUE ring.

The 13-Gate in Nutrition

Vitamin Gate Theorem
Essential vitamins = D^2 + K^2 = 4 + 9 = 13 = GATE. Fat-soluble: D^2 = 4 (A, D, E, K). Water-soluble: K^2 = 9 (C + B vitamins). B vitamins alone = D^3 = 8. The same GATE that stops chemistry's periodic table, hydrogen's degeneracy, and Cunningham chains stops vitamins.
Essential amino acids
K^2 = 9
Closure squared. The body cannot synthesize K^2 amino acids. Same stopping number as spider web.
Macronutrients
K = 3
Carbs, fats, proteins. Closure.
Electrolytes
b = 7
Major electrolytes = depth. Na, K, Ca, Mg, Cl, PO4, HCO3.
Caloric density
K^2 and D^2
Fat: K^2=9 kcal/g. Carb/protein: D^2=4 kcal/g.

The Body Map

Cervical vertebrae
b = 7
ALL mammals, from giraffes to mice. Depth IS the neck.
exact
Thoracic vertebrae
D^2*K = 12
Same as cranial nerves (12) and rib pairs (12). Trinity heart.
exact
Total vertebrae
K*L = 33
Closure times protector. 33 = K*L.
exact
Teeth
D^5 = 32
D^2 types x D^2 quadrants x D halves. Pure duality.
exact
Senses
E = 5
Observer has E=5 senses. E^2 = self-blind: you cannot observe the observer.
exact
Organ systems
L = 11
Protector organizes the body into L=11 systems.
exact

Metabolic Chain

Glycolysis
D*E = 10 steps
Bridge times observer. Glucose -> pyruvate.
Krebs cycle
D^3 = 8 steps
Spider's legs. Citric acid carousel.
ETC complexes
D^2 + sigma = E = 5
4 complexes + ATP synthase = observer.
Heart chambers
D^2 = 4
Spacetime dimension. The heart has D^2 chambers.

What Others See

13 vitaminsArbitrary countGATE = D^2+K^2. Fat/water = duality/closure squared147 bp nucleosomeEmpirical measurementK*b^2: closure times depth squared7 cervical vertebraeJust is, all mammalsb=7 = depth prime. Conservation across 200M years8 histonesOctamerD^3 = spider's legs3 germ layersDevelopmental factK=3 = closure. Same as domains of life20 amino acidsEvolutionary accidentD^2*E = 20. Duality^2 times observer. Same count as Riemann components

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