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Projecting Euclidean 3D space onto the hypersphere, and Sorry for the low quality. I was lazy and didn't want to improve the code. But I also didn't want to wait an eternity for it to render. uses quaternions instead of just imaginary and real numbers. A 4-dimensional quaternion Mandelbrotset. For Q=Q^2+Z where Z=a+bi+cj+dk and ii=jj=kk=-1, ij=ji=k, ik=ki=j, jk=kj=i, and Q exists ... The balls are located on the vertices of the 24-cell (icositetrachoron). 3D-video left-right side-by-side stereo layout. Click on «like» ...

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4D_Mandelbulb with rotation in 4D
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4D_Mandelbulb with rotation in 4D

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This the 3D projection of a

Fourth Dimension rotation of 4D spheres, tetrahedrons, and cubes
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4-Dimensional Rotation
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4-Dimensional Rotation

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Projecting Euclidean 3D space onto the hypersphere, and

4D Mandelbrot (Quaternions)
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4D Mandelbrot (Quaternions)

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Sorry for the low quality. I was lazy and didn't want to improve the code. But I also didn't want to wait an eternity for it to render.

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Last Updated: May 22, 2026

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