For the live, interactive build, please visit the GitHub pages

Sierpinski Gasket

An implementation of the Sierpinski Gasket using Unity's GL class

Algorithm

1. Draw a triangle
2. Select a random point within the triangle
3. Select a random vertex
4. Cast (but do not draw) a line from the random vertex to the selected point
5. Draw a dot on the midpoint of the line between them
6. Repeat from step 3 using the dot you just made as the newly selected point

Parameters

• Manual Mode
  • Enabled = manual configuration of the seed and point-generation
  • Disabled = simulation of the Sierpinski Gasket generated with a different seed each frame
• Replay
  • Clears all points from the frame buffer allowing the gasket to be regenerated
• Enter Seed
  • Manually enter a seed that determines the position of the first point, and therefore the rest of the points generated in the algorithm
  • The final image is consistent regardless of the seed unless a sufficiently small number of points is used
• Num of Points
  • The number of points drawn inside the main triangle using the algorithm
  • A sufficiently high number of points will result in degraded performance on older systems; the highest number of points achieves a stable framerate with a GTX 3070 Ti
• Fill Speed
  • How fast the gasket is generated after being cleared