pic.twitter.com/mrKZXZNmzD

— Daniel Piker (@KangarooPhysics) January 11, 2022

Yes, the surface is halfway* between the edge graphs of a pair of dual 5-cells.
*defining halfway as shortest distance to each graph being equal doesn't give a smooth surface though, so instead here I've taken where the inverse cubed distances summed over each graph are equal.

— Daniel Piker (@KangarooPhysics) January 12, 2022

I'm a total sucker for extruding time along an extra spatial dimension. I ran across a name for such visualizations in a biology paper: 𝑘𝑦𝑚𝑜𝑔𝑟𝑎𝑝ℎ𝑦. https://t.co/zYtWAG7x6f

— χle Ormsby (@MotivicKyle) January 10, 2022

This is the implicit equation f(x,y)=0 of a triangle with arbitrary verts, that actually computes the exact Euclidean distance from (x,y) to the triangle.

It uses min{} and max{}, which are defined in terms of the absolute value |x|. Code: https://t.co/Tq0QpIjFiI pic.twitter.com/Q8ZJQS0fwX

— inigo quilez (@iquilezles) December 2, 2021

bouncing from the focus of one parabola to another pic.twitter.com/ZYUrtI7ZMA

— Matt Henderson (@matthen2) November 21, 2021