Fisher Time Wheel on the New Cushion on the New Swing

We recently got a new patio swing. Marae bought a black sheet and covered some thick foam to make the swing more comfortable. Here we see a very scrambled Moyu Fisher Time Wheel chillin' on the patio swing. And now I am chillin' on the swing with the puzzle on this pleasantly warm summer afternoon.

Vocabulary (referring to the picture above)

The piece with 3 colors on it is an Outer Edge, seeing as this is a Fisher Cube.

The white piece adjacent to the Outer Edge is an Inner Edge. 

The big piece with 2 colors on it is an Outer Corner.

The little white piece adjacent to the Outer Corner is an Inner Corner.

The green piece with 1 color in the middle of the green face is a Middle Layer Edge.

The blue and orange pieces in the photo are Middle Layer Inner Edges. 

The green and red piece at the center of the green/red circle is a Middle Layer Center.

The green and red piece above the green red Center is an Inner Edge.

The green and red pieces next to it are Inner Corners.

Strategy

1. Hold the puzzle with the white center on bottom.
2. Pair up a white Outer Edge with a white Inner Edge and take it home. Repeat for all 4 white edges.
3. Build a 3-piece Corner-Edge Pair from a white Outer Corner, a white Inner Corner, and the corresponding Middle Layer Edge. Take it home. Repeat for all 4 Corner-Edge Pairs. Of course the Corner can be built and paired up with the Edge using URD as it is solved.
4. Pair up all the Yellow Inner and Outer pieces.
5. Orient the yellow Edges. There may be an odd number that need to flip because one of the the Middle Layer Edges may be flipped.
6. Permute the yellow Edges.
7. Permute the yellow Corners.
8. Orient the yellow Corners.
9. Orient the Middle Layer Centers. At this point it will look something like 
1. 
10. Build blocks consisting of one 2-color Inner Edge and its 2 adjacent Inner Corners. In order to do this it may be necessary to store some of them on top and/or bottom. Also, although I'm not sure if it is avoidable or not, some of the Centers may get twisted.
1. 
11. Use The Move to move all of the blocks into place. 
12. Orient Centers.
1. 
13. Permute Inner Edges.

Moyu Fisher Time Wheel

After spending some time getting better acquainted with the Tangram Cube, I finally put it away and grabbed another puzzle. It was partially scrambled so I started by scrambling it more thoroughly. What a mess! When solved it is a perfect cube, but when scrambled it is quite the jagged mess. At this point I can't even tell you what the puzzle is. I do not remember its name. By the time I post this entry I'm sure I will have found out and put it in the title of the post. I can say that I solved the cube using a lot of Up Replace Down Replace Up Goback Down Goback commutator 3-cycles.

Nowadays this is called the Moyu Yileng Time Wheel. I bought it from Speedcubeshop in October 2017. On November 6, 2017 I posted the following:

I got a new puzzle. Rline did an unboxing and I liked the looks of it. It hasn't disappointed. I haven't worked out a system for solving it yet and may not ever. It is just fun to mess with. I have fully scrambled and solved it. Let's see...
It is like a Fisher Cube, you know the shape mod of a 3x3x3 that can be slippery and hard to control. It could be scrambled and solved exactly like one. But there are circles on the top and bottom faces and on each edge of the 4 vertical sides that can be turned manually giving each ... How should I explain this?
8 of the edges of the puzzle solve like corners of a cube. On a Fisher cube each edge is one piece. On the MoYu Fisher Time Wheel each of these pieces are cut by circles so that there are 3 extra pieces.
Trying to describe this is crazy. I'm just going to say that there are 54 extra little pieces to solve above and beyond a 3x3x3 cube or 3x3x3 Fisher Cube. I don't even want to try to describe at this point how I have gone about solving it.

Back to 2020 thoughts. As far as a solution strategy... I'm thinking that the centers, edges, and corners of the Fisher cube can be solved like a normal Fisher cube. When this is accomplished everything outside the circles along with the centers of the circles will all be solved. The next step is to focus on the horizontal and vertical pieces inside the circles. These can be solved with Up Replace Down Goback or simply Up Replace Down. Then the small roundish triangular parts of the circles can be solved using the 8-move commutator I am so fond of—Up Replace Down Replace Up Goback Down Goback.

Here it is with a scramble: