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First release of "The Ultimate Last Layer Algorithms Collection"

GRVigo

Member
Joined
Jan 29, 2020
Messages
189
Location
Vigo, Spain
Let me introduce you to the first version of “The Ultimate Last Layer Algorithms Collection”.

It’s a series of PDF documents with a selection of algorithms for 1LLL, PLL, OLL, COLL, ZBLL, and anti-ZBLL. You can download them from this Mega link, in a single ZIP file of 138.9 MB. (Download new version here 140MB from Mega in a single ZIP file) If anyone has a Rubik’s cube website and is interested in hosting these collections, please contact with me.

The main document is “TULLAC-1LLL-V1.0.pdf,” where the selected algorithms for the 3915 cases of 1LLL are presented. From this collection, to make it easier to consult, the remaining collections are generated in separate files. Use the content/bookmarks feature of your PDF viewer to navigate between the different cases.

Unlike other collections, the algorithm selection wasn’t done manually. First, all possible algorithms of 15 moves or less were generated, plus longer algorithms with some simplifications, resulting in about 2.5 million base algorithms. From these, derived algorithms were generated by applying transformations that didn’t affect functionality. This way, I potentially obtained billions of algorithms!

To select the most appropriate algorithms from such a variety, I first did a small study of the most popular algorithms I found in various publicly available databases on the internet. Using the criteria based on length, type of moves, and the presence of triggers, I programmed a classification tool.

This is a living project, so if you have comments or ideas on how to improve it, I’d love to hear them and will consider them for future versions.

I’ve also included an expanded 1LLL collection called MEGA-1LLL, with approximately 1.6 million algorithms. Obviously, only a true madman would find any use in such a collection.

I want to thank the users of this forum who commented on the preliminary version I published a few weeks ago. Thanks to them, the algorithm selection is much better.

Thank you very much for your interest.

Here you can see an example of how the collections look:
1728139114733.png
 
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