Cones with deformed circel base

Dear Cesium specialists,
still preparing our long term project (continuing a precedent post about our time-space cartography) we want to draw cones with a base that is not a regular circle
As a drawing is more efficient than a long speech, here comes a sketch of our model:

Can Cesuim achieve this kind of three D geometry?
Thanks for help
Alain L’Hostis and Thomas Leysens

for your question maybe you could use sensor plugin (more precisely customPatternSensor).
I try to maintain this plugin compliant with Cesium here:
If you're interested, I could send you some samples.

here comes the image:

Dear Bobac,
thanks for your answer.
we will evaluate your plugin, yes examples and help would be welcome.