Taking Twitter as an example, I posted the first segment, Orange, then when I wanted to post the next, I quote tweeted this original post and placed the updated wheel with the next segment, Yellow. For each new segment I would do this, so the whole project is self-contained in a quote tweet thread, making engagement very easy for users. The colour wheel challenge hashtag was included in each post.
Supplementary work was posted in a reply to the current colour wheel update. Under this I would post the 30 second time lapse video of the artwork creation.