Hi,
some might have recognized that I am quite obsessed with
1. collecting and/or making all variants of a specific series.
2. bandaged cubes.
After I had built my first two dozens bandaged cubes I wondered how many bandaged 3x3x3 are there.
Here is one results of all that:
I don't want to make further explanations since this is also a test of its self-explainability (?).

To Bram:
You might not remember it, but 5 years ago you asked me how many variants for the 3x3x3 are really interesting. I think that I can answer that now: 5705 out of 7356

EDIT: Uploaded a new version to a new thread:
viewtopic.php?f=1&t=24406

Andreas you are incredible

I have all 3 of your bandaged programs Andreas. Skewb, Pyraminx and 3x3. I play with them all the time, and still haven't solved the "hardest bandaged cube." among the several I've built. You know which one I mean.

This program is great! Thanks.
ANy update on that 4x4 program?

But how many of those 5705 can you solve?

There are also bandaged pucks, and bandaged 2-layer pucks...

That is a LOT of bandaged puzzles. I actualy have the D2800001c240031 megaminx sitting on my desk right now. I copied the bandages of a Rotascope sliding puzzle that I thought looked nice: http://www.jaapsch.net/puzzles/rotascope.htm.

I am not much of a solver, but it is one of the hardest puzzles I have ever tried (emphasis on tried not solved ).

I am afraid I don't know.
With "hardest bandaged cube" you mean this one?
viewtopic.php?f=15&t=13747You can delete that old rubbish. You might have noticed that Skewb and Pyraminx and more are now integrated into one program.

Regarding the 4x4x4:
The calculation program for the 3x3x3 needs 3 minutes for 2^54 variants.
The calculation program for the 3x3x3 with bridges needs 13 hours for 2^81 variants.
The calculation program for the 4x4x4 would need to crunch its way to 2^108 variants. Guess what I did.I can (or could at a time) solve the ones moved to the right list.
Bandaged pucks are interesting but after analyzing the dodecagonal prism I decided to analyze the Skewbic Dodecahedron first.

Great minds think alike: Although this one was inspired by Mefferts bandaged cube, the solution for the last pieces should be similar:
I have lost my notes after 2 moves, but I know there is a sequence with length=7 involving only the three shown sides. This sequence permutes only 5 of the corner-edge-blocks.


Some constructive criticisms for the program anybody?
I hope nobody without appropriate region setting sees any german.