Proof of Equivalence via Explicit Construction of an Ambient-Isotopy
Left click blue vertices to move them.
Left click blue edges to add new blue vertices.
Right click blue vertices to remove them (under certain conditions.)
Press Z to undo.
Determining the rest of the rules is left as an exercise to the reader.
(There are some graphical glitches that I know about that would take a surprisingly large amount of effort to fix, so I'm just going to leave as is.)
Part of the Confounding Calendar 2022: https://confoundingcalendar.itch.io/
Comments
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@jacklance, your itch creator page only shows one entry. I found your other stuff by manually typing https://itch.io/profile/jacklance
Wow, this puzzle took me days, attempting, hitting surprising dead ends, unwrapping, resetting, etc. It wasn't so much difficult, as foreign from my comfortable genres (sokoban-likes etc). I had to learn new ways of seeing state and develop a novel set of strategies for pursuing and tracking intermediate progress.
Once I understood the visual language, the solution came fairly easily, and left me wanting more in the same genre. Has anyone played with creating variants?
mine's not loading
I love this puzzle!
I think you have a bug with your collision/edge detection, as I somehow managed to get the line stuck. i.e. I can not move any of the blue nodes.
I don't think that is a bug.
Because this is a 3D puzzle.
I get the 3D aspect of it, but I couldn't move any of the blue nodes in any direction.
The difference is that normally the game stops your line earlier. i.e. like this:
meaning you can still move at least one of the nodes.
But somehow I managed to get the line like this. Although I am struggling to reproduce it.
If I had to guess (without looking at the code), on a move, if your line would end up in an invalid location, it would move the line back to where it was. That's sensible if the current/previous line position is sensible/legal. Unfortunately if the line glitches into an illegal position, you can never move it out of that position (as to do so would mean you would have to transition through various other illegal positions, when that happens, the line would be moved to the current position).
I understand. As you said, this is a bug. And I was also able to reproduce the following steps.
1. Move the blue line to the lower side of one of the green lines, making the intersection of the green lines impassable.
2. Create the midpoint of the blue line and move this to the position of the intersection of the green lines.
3. Move the blue line so that it is in a straight line and delete the midpoint.
my brain is now gone
thank you jack lance
Not wanting to specify in case it's a spoiler, but is there a mistake in the 'Goal' picture?
About the goal (ROT13): Vs lbh'er guvaxvat gur cvpgherf ner gur fnzr, V frr rknpgyl bar qvssrerapr orgjrra gurz.
It has now been fixed
Phew! I thought it was just a mistake, but couldn't help worrying I'd missed a vital mechanic.