[feature] Save projection, morph between projections

[JeffreyBenjaminBrown]

In exploring one of these objects, I might find a few interesting projections and want to compare them. It would be handy to be able to save them, and then jump back and forth among the saved projections. (Saving would not have to last beyond the current user session -- I'm not suggesting creating a user and saving user data, or caching data for future sessions, or anything like that.)

[ndavd]

Currently you can click the export button to save a data file. And you can load it back at any time. There's even a discussion to share user findings so by all means feel free to share yours with the community :) https://github.com/ndavd/ncube/discussions

Regarding not saving them and just have multiple loaded it could be done, perhaps I could implement some tabs.

[JeffreyBenjaminBrown]

Good to know, thanks!

If the app were simultaneously aware of two projections, you could use them to define a rotation: A slider could take you from one to the other. (There might be an intermediate point where the projection becomes degenerate.) In fact, maybe that slider ought to be a dial, so that you could rotate in a complete circle. The two projections could be opposite points on the dial, or they could be closer together, depending on how orthogonal they are.

Making the dial might involve some hairy matrix algebra. I haven't thought about it. But a slider seems easy to define: You could just linearly morph each axis independently of the others. This might not exactly be a rotation but it will definitely be a smooth transformation from one projection to the other (with, again, the possibility of a singularity along the way).

I've edited the title of this issue to reflect that new idea.