Color Theory Question - Color Sphere

Not sure if you are familiar with the color sphere, I know Macs use it. Here is a link to one … phere.html

My question is does this type of sphere, if large enough, totally contain all 16,777,216 colors?

I have been looking for some way to two dimensionally describe all 16.7 million colors and I’m wondering if this is a known way to do this…

Thank you all!