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  1. Visualizing the 4th dimension. - Mathematics Stack Exchange

    May 18, 2017 · Now imagine a 4D being pushing a hypersphere through our 3D universe. A dot would appear, become a small sphere, etc. How about other shapes? The cube / hypercube …

  2. Can someone explain 4th dimensional objects?

    Apr 25, 2015 · A weird sort of cube-within-a-cube, a tesseract is a 3D projection of a 4D object in the same way that " " is a 2D projection of a 3D object. The trick is imagining the tesseract's …

  3. geometry - 4D to 3D projection - Mathematics Stack Exchange

    Im trying to calculate the position of 4D point in 3D world. I started with 2D and tried to extend it to the 3D and then to 4D. Firstly, I found out that its easy to calculate the projected positio...

  4. calculus - Revolve a 3D shape around an axis to create a 4D shape …

    Mar 10, 2015 · You can revolve a 2 dimensional shape around an axis to make it a 3 dimensional shape, and finding the volume of this shape is pretty simple using the disk method. What I …

  5. Sections of cones in higher dimensions - Mathematics Stack …

    Jan 2, 2015 · But, I wanted to know that if the same was possible in higher dimensions. If we take the 4 dimensional equivalent of a cone, and make it intersect with the 3 dimensional equivalent …

  6. How to visualise a hyper sphere passing through 3D

    Aug 3, 2021 · The principle of a sphere passing 2D would be a fluctuating circle and 3D -> 4D is a fluctuating sphere with the spheres extended into 4D expanding or collapsing to 0.

  7. general topology - Formula for number of faces in 4 dimensions ...

    If a polytope has $m$ faces in 3 dimensions, how many faces does its analogous polytope have in four dimensions? Does a formula exist? For example, if $m=4$, you have ...

  8. How to find the dihedral angle of shapes in higher dimensions?

    Aug 5, 2021 · The dihedral angle of a tetrahedron (e.g side length of 1) is quite straightforward, splitting up into smaller triangles and eventually using simple trigonometry, we get 70.5 …

  9. Equation of a ... 3D object??? - Mathematics Stack Exchange

    Jun 11, 2015 · In the pic you provided...In the 4D shapes what is the "Tiger" or "Glome"? Where can i find pics of those?

  10. Are enclosed 4D shapes really enclosed? - Mathematics Stack …

    Oct 6, 2019 · Some of 3D slices have polygon-shaped faces (but every face initially is a square, so for me it looks like that slice crosses internal volume) so I decide that it might be kinda gaps …