Twizzle Diaries - Ep. 3: Alpha Features
HTML-код
- Опубликовано: 5 июл 2024
- Learn about the features of alpha.twizzle.net/ from me and Tom Rokicki!
Explore the 2x2x2 + Skewb combination demonstrated by Tom:
alpha.twizzle.net/explore/?pu...
0:00 alpha.twizzle.net
0:39 Editor & Explorer
Twizzle Editor
0:59 Viewing Moves
1:43 More Puzzles
2:17 Stage Stickering
3:18 Setup & Anchor
3:56 Tempo & Hint Facelets
4:09 Alg Tools
4:48 Screenshots
5:51 Bluetooth & Other Input
6:21 WCA Puzzle, Notation, Scramble/Solve
7:05 Unofficial Puzzles
Twizzle Explorer
7:45 Tom Rokicki Introduces Twizzle Explorer
9:00 Even More Puzzles
9:54 Custom Puzzle Geometry
10:57 Adding Slice Cuts
12:18 3x3x3 + Vertex Moves
13:29 Technical Features
14:14 UI Features
15:02 cubing.js on GitHub
15:22 The Future
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Thanks to Pete Langford for permission to use “Mr. Rubik” by The Barron Knights. www.barronknights.com/
Thanks to Tom for recording a segment for us! 
Наука
I can't describe how amazed I am, thanks for this gift :D
OMG I love this. Keep it up!
this is incredible stuff
Really great work. I'm very curious on the mathematics behind generating the geometry and cuts for the platonic solids. Where can I find more documentation for how this is done?
Good question! There's nothing really written (by us) on this yet, but the idea is pretty simple.
First, for a given platonic solid, I generate the rotation group of that solid in quaternions by simple breadth-first search given a pair of rotation generators. Next, for each element of this group I generate a plane at unity from the center. I pick a prototypical such plane, and slice it by all other planes, yielding a base face polygon. Next, for each specified cut, I generate a prototypical cut plane for that cut, rotate it by all elements of the group, and slice and dice the base face polygon by these planes to (using analytic geometry). This creates a set of base face stickers. I rotate these stickers by all elements of the rotation group to generate the final set of puzzle stickers.
I have a lot of assumptions in the code about platonic solids and the fact that the cuts will be in the same rotation group as the original solid; lifting these restrictions will generate a much larger collection of (perhaps bizarre) puzzles, but also complicate some things; I decided to keep things simple for now.
Great stuff! I can't reproduce how I did quarter turns in pyramorphix explorer. It doesn't shapeshift (anymore)
Really liked the description feature in the twizzle explorer, and the ksolve and possibilities export for any newly described puzzle. Good work Lucas and Tom.
This is amazing!
Amazing work Lucas! Keep it up.
All of this is so great!
One day someone’s gonna make a feature to export custom puzzles to 3d printing files
That would definitely be cool!
We're not quite handling the internals yet, but we *could* show a realistic model of any puzzle if someone implements it. :-D
@@LucasGarron Is it planned (would it even be possible) to add more than just the 5 Platonic solids for puzzle generation, such as the Catalan solids?
@@Julio974 That's more a question for Tom!
There's no technical reason we couldn't support more, and I also definitely want to model some of Oskar's puzzles. But I don't know how much work it would be to support non-Platonic solids and I don't think we have plans at this moment.
@@Julio974 We are definitely thinking about it. Restricting things to platonic solids, specific types of cut planes with full symmetry, and only shape-preserving moves allowed some significant simplifications while still allowing the exploration of a lot of interesting puzzles. I think we plan to continue to improve support for the puzzles we do have before expanding the repertoire, but we are happy to listen to suggestions or get contributions from others.