Mapping Codons to the Complex Plane
The Tetrahedral Method by Paul Dan Cristea
| Method | Summary |
|---|---|
| 2-bit binary representation | Assigns a unique 2-bit binary sequence to each nucleotide (A = 00, C = 11, G = 10, T = 01) |
| 4-bit binary encoding | Assigns a unique 4-bit binary sequence to each nucleotide (A = 1000, C = 0010, G = 0001, T = 0100) |
| 4-dimensional indicator sequence (Voss representation) | Defines a four-dimensional space with a unique axis for each nucleotide |
| Use of a tetrahedron structure | Represents the nucleotides in a three-dimensional tetrahedron model |
| Use of integer values | Assigns a unique integer to each nucleotide, with different ranges used (e.g., 0 to 3, 1 to 4) |
| Use of real numbers | Assigns a unique real number to each nucleotide (e.g., A = 21.5, T = 1.5, C = 0.5, G = 20.5, or A = 0.25, G = 0.5, C = 0.75, T = 1) |
| Complex number values | Assigns a unique complex number to each nucleotide (e.g., A = 1zj, C={1zj, G= {1{j and T = 1{j) |
| Use of quaternions | Represents nucleotides using quaternions, a form of complex number with four parts (e.g., A = izjzk,C= i{j{k,T={izjzk, and G = {i{jzk) |