DNA Double Helix

Watson-Crick B-DNA molecular structure modeled as dual out-of-phase intertwined 3D parametric helices connected by complementary hydrogen-bonded nucleotide rungs.

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60 FPS • Canvas 2D

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Live Parameters

Axial Spin Speed 1

Molecular helical revolution rate

Strand Major Radius 85

Sugar-phosphate backbone width

Mathematical Formulation

94 chars medium

Analytical Equation

\mathbf{r}_1(z) = \begin{bmatrix} R \cos(\omega z + t) \\ R \sin(\omega z + t) \\ z \end{bmatrix}, \quad \mathbf{r}_2(z) = \begin{bmatrix} R \cos(\omega z + \pi + t) \\ R \sin(\omega z + \pi + t) \\ z \end{bmatrix}

Compact Formula

strand1 = [R cos(4πy + 2t), y], strand2 = [R cos(4πy + π + 2t), y], base_rung = line(s1, s2)

Renderer Logic

const theta = normY * Math.PI * 4 + t * 2;
const x1 = Math.cos(theta) * helixRadius;
const x2 = Math.cos(theta + Math.PI) * helixRadius;
ctx.moveTo(cx + x1, py1);
ctx.lineTo(cx + x2, py2);

Open in Playground Zero Dependencies • Standalone

Mathematical Tags

#dna #genetics #helix #anatomy #biology #3d #molecular

Author: Math Art Core Target: 60 FPS

DNA Double Helix

Live Parameters

Mathematical Formulation

Mathematical Tags

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