How can I achieve a 3D visual of a concentric layered sphere (like an onion), where the radius of each layer is tick-marked using a logarithmic scale?
Specifically, my project is to realize the following:
1) Layer the first sphere like the concentric rings of an onion, with the innermost layer having a thickness of "e" (Euler's number), and the outermost layer at an infinite distance having a thickness of 1. So, cutoff the concentric sphere display at some "x" radius, where "x" is 1 < x < e.
2) Mesh each layer's surface. Also draw x,y,z axes with logarithmically scaled tickmarks starting from the origin.
3) Cut out a big quarter slice of the whole sphere so that we can see its inside. Like this: https://scx1.b-cdn.net/csz/news/800/2019/magnetismdis.jpg
4) Apply a rotation to each layer, with the outermost layer completing a cycle in "1" unit time while the innermost layer completes a cycle in "e" (= 2.7) unit time.
5) Superpose on this first sphere a likewise onion layered second but Euclidean sphere. The latter's axes' tickmarks should be of a linear scale. Cut out too its quarter slice from some other angle to show its inside. Also apply uniform rotation to all its layers in similar fashion.