Mathematics · Geometry
Fractal laboratory
Build, measure and observe: six paths from recursive geometry to complex orbits.
Read the articleChoose a construction
Split each triangle into four equal triangles and retain the three corner pieces. Level 0 is the initial triangle.
Sierpiński triangle
Every image is a finite approximation. The displayed dimension belongs to the mathematical limit, not to the filled drawing on screen.
Compare levels
| n | Elements at level n | Remaining area |
|---|
Orbit of the selected point
The table shows at most the first 12 steps; the check uses the full iteration budget.
| n | Re(zₙ) | Im(zₙ) |
|---|