Toroidal Half 120-Cell

[henryseg]

This is true, and there are some choices to make in where you project from even if you want a nice symmetric result! With this one, the axis of the torus goes along the 5-fold rotational axis, but you also get interesting things if you take the 3-fold or 2-fold axes instead.

[tamfang]

I notice that the sphere cut has three degrees of freedom (for the projection center) while the torus cut has five (the projection center plus an axis through it).

[RoiceNelson]

lovely Henry! I really like this one. How about the Clifford Torus cut you showed me at G4GX that makes the Cairo tiling next?

I also think it'd be cool to print edges where the dodecahedra 2D faces are cut, so you could easily see those tilings on the torus (even though such edges are not part of the 120-cell skeleton).

[zh]

I find it harder to visualise how this relates to the whole 120-cell than your previous "half" version cut along a sphere. Suppose you put your model inside a (3D) mirrored torus which exactly touches all the outside vertices. If you were inside the mirrored torus, would the reflection of the structure you made form the missing half of the toroidal 120-cell?

[tamfang]

Actually I want a nice *asymmetric* result: if I ever learn to generate the 14400 symmetry units efficiently, I intend to make a series of 64 convex uniform polychora with the projection centers as far from any reflection plane as they can be.

[RoboCNCnl]

I really hope that im not the only one on YouTube that does not understand a thing of what you say :)
But at the least its a beautiful print... :)