4d Cube Animation
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4d cube animation. Projections and slicing 1978 award winning computer animation duration. Watch this full video. Rotation of a 4d cube along one of its axis. Animators are now capable to move an object around its own mirror image.
The hypercube is not stretching. The tesseract is to the cube as the cube is to the squarejust as the surface of the cube consists of six square faces the hypersurface of the tesseract consists of eight cubical cellsthe tesseract is one of the six convex regular 4 polytopes. The animation above shows the same effect for a 4d cube. And learn cinema 4d.
The tesseract is also called an eight cell c 8 regular octachoron. A 3d cube has 238 vertices a 4d cube has 2416. In four dimensions all of its edges are the same length and all the angles are 90 degrees. This has been a mathematical idea and application for some time but now through computer technology it has been launched into feature films and other animation projects.
I created the above animation using houdini my favorite 3d modelling package. Its soo easy to create this animation. Lets draw a 4d cube. Rotation of a 4d cube along one of its axis.
It may seem odd to create a 3d analog of a 4d analog of a 3d puzzle but there is a logic to it as it helps to make clear the meaning of the working and user interface of the higher dimensional. Magic cube 3d david vanderschel wrote a 3d rubiks cube simulator using the 3d equivalent of the 4d projection and user interface to the 4d puzzle. Building on the popular 3d animation 4d has added a time and space concept to its dimensions. The perspective projection of the 4 dimensional cube onto a 2d surface means different edges will appear shorter or longer.
This post explains how i did it.