Uncanny Mixup combines concepts from the Uncanny Cube and the Mixup Cube. This combination was suggested by Bram Cohen, who also came up with the Uncanny Cube idea. Around the same time, this "unbandaged" Uncanny Cube was also suggested by Vladimir Yaroslavskiy, inspired by the Bermuda Cubes. And also Khaled Habbab suggested unbandaging after playing with his Uncanny Cube sample.
The development of this puzzle took me three rounds of prototyping. The first version was unstable. I added floating anchors (lengthening pieces towards the middle) to keep the pieces upright. The second version worked better, but some moves were blocked. The third prototype, the one demonstrated on the video, works perfectly.