This 3D model is related to a cauliflower fractal, julia set generated from quadratic equation f(z) = z^2+1/4.
I won the Quanta's 3-D folding contest in 2017 by folding this shape from a flat sheet of paper.
https://www.quantamagazine.org/20170105-test-your-mathematical-sculpting-skills/
https://www.facebook.com/QuantaNews/posts/610360859161510
Detailed mathematical backgrounds can be found from
[2016] Laura DeMarco, Kathryn Lindsey, Convex shapes and harmonic caps
https://arxiv.org/abs/1602.02327