I know that there is a unique incircle for a triangle, and how to calculate it.
My intuition tells me that there would be an analogous sphere for a triangular bipyramid, but I am struggling to use the logic for calculating it in a triangle for calculating it in an irregular triangular bipyramid.
Is there a known solution?
For those interested, this would be valuable to me in display calibration for a visual neuroscience experiment.
Specifically, for working out the set colours that are equal in colour difference relative to a single point, when taking both chromaticity and luminance into account, for a screen with primaries of given XYZ tristimulus values, where the goal is maximising the colour difference (the radius of the sphere).