64 codons. 20 amino acids + 1 stop signal = 21.
21 = 3 × 7. Two axiom primes. The Chinese Remainder Theorem
decomposes every amino acid into two independent channels.
Type any DNA sequence. Watch it translate.
Type or paste a DNA sequence (A, T, G, C). RNA (U) accepted too. Non-bases ignored.
Standard genetic code. Green border = start (ATG). Red = stop. Click any cell.
Click any codon above or in the translator. Every amino acid decomposes into Z/3 × Z/7.
Mutations at the 3rd position of a codon are tolerated 2/3 of the time. This is error correction built into the genetic code itself.
Each amino acid has a unique address in the ring. Click to inspect.
| THIS DEMO | STANDARD VIEW | |
|---|---|---|
| Structure | 21 = 3 × 7, CRT decomposition | 64 codons grouped by first base |
| Redundancy | 1.608 bits = 99.4% of φ | "Degenerate" (no quantification) |
| Error correction | 66.7% wobble ECC, position-specific | "Wobble base pairing" (descriptive) |
| Degeneracy pattern | {1,2,3,4,6} = divisors of φ(21)=12 | Listed per amino acid, no structure |
| Framework | CRT channels: mod 3 (K) + mod 7 (b) | No algebraic framework |
Source: Standard genetic code (NCBI). CRT analysis: axiom framework.
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