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Jansen Linkage

Theo Jansen's revolutionary walking mechanism - 20 interactive visualizations exploring the "Holy Numbers" that create optimal biomechanical motion

20
Interactive Demos
11
Bar Linkages
13
Holy Numbers

The Holy Numbers

In 1990, Theo Jansen used computer optimization to discover the ideal proportions for his walking leg mechanism. These 13 numbers create a smooth, efficient walking trajectory that mimics natural gait.

a = 38.0
b = 41.5
c = 39.3
d = 40.1
e = 55.8
f = 39.4
g = 36.7
h = 65.7
i = 49.0
j = 50.0
k = 61.9
l = 7.8
m = 15.0
01

Single Leg Mechanism

The fundamental Jansen linkage with exact holy numbers and foot trajectory tracing

Canvas 2D
02

Foot Trajectory Analysis

Detailed analysis of the characteristic D-shaped walking path with ground contact phases

Analysis
03

Strandbeest Creature

Full walking creature with multiple synchronized legs on a beach scene

Animation
04

Parametric Explorer

Interactive sliders to modify all 13 parameters and see real-time trajectory changes

Interactive
05

Evolutionary Optimizer

Genetic algorithm evolving linkage parameters toward optimal walking fitness

AI / Genetics
06

3D Three.js Visualization

Interactive 3D view with orbit controls, lighting, and wireframe toggle

Three.js
07

P5.js Artistic Styles

Multiple generative art styles: rainbow, particle, neon, ink, geometric

P5.js
08

Rainbow Trails

Colorful trailing visualization of all joint movements over time

Visual Art
09

Parameter Comparison

Side-by-side view of 9 different parameter variations and their effects

Comparison
10

Walking Robot

Four-legged robot using Jansen linkages walking across the screen

Robotics
11

Mirror Leg Pairs

Quadruped visualization with different gait patterns: walk, trot, pace, gallop

Gait Analysis
12

Minimalist Design

Clean, elegant visualization with simple black lines on white background

Minimal
13

Neon Glow Effect

Vibrant neon aesthetic with glowing links and colorful trail effects

Neon
14

Mechanical Blueprint

Technical drawing style with dimension lines, labels, and engineering aesthetics

Technical
15

Educational Guide

Step-by-step tutorial explaining how the linkage is constructed and works

Educational
16

Mutation Explorer

Grid of 25 random parameter mutations - click to select and evolve from any

Exploration
17

Speed Demonstration

Five mechanisms running at different speeds: 0.25x, 0.5x, 1x, 2x, 4x

Comparison
18

WebGL Shader

GPU-rendered visualization using GLSL fragment shaders with glow effects

WebGL
19

Physics Simulation

Interactive physics with torque, ground contact forces, and momentum

Physics
20

Kaleidoscope Pattern

Mesmerizing kaleidoscope effect with configurable symmetry segments

Generative