Is it a Square? Green Flag to find out! When we rotate this 3D Tetrahedron Fractal, it looks like a square from some angles. * Set Speed to 1 to see this best. The 3D Tetrahedron Fractal is also known as a Sierpinski Pyramid, Sierpinski Tetrahedron or Tetrix. This project was inspired by a YouTube video by Ben Gobler: "Can you guess this shape from its shadows?" https://www.youtube.com/watch?v=Cnhr6VaQKlg It is an amazing video! As the 3D Tetrahedron Fractal looks like a square from certain angles, shining a light from those angles through the fractal will cast a square shadow. * Press the <S> key to see a picture of these shadows of the Sierpinski Tetrahedron from the video.
This project was inspired by a YouTube video by Ben Gobler: "Can you guess this shape from its shadows?" https://www.youtube.com/watch?v=Cnhr6VaQKlg It is an amazing video! 3D Tutorial Studio: https://scratch.mit.edu/studios/5040029/ Sierpinski Triangle Studio: https://scratch.mit.edu/studios/3560462/ Sierpinski Triangle and Sierpinski Tetrahedron / Tetrix: https://en.wikipedia.org/wiki/Sierpinski_triangle This project uses recursion to repeatedly divide the largest tetrahedron into 4 smaller tetrahedrons. The smallest tetrahedrons are drawn at the last recursion level. The Sierpinski Triangle is a triangle divided repeatedly into smaller triangles. It is a 2 dimensional fractal. Huge thanks to @TheLogFather for his "Faster Triangle Filler" https://scratch.mit.edu/projects/24828481/ Theory to rotate a 3D object from Wikipedia https://en.wikipedia.org/wiki/Rotation_matrix
