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Proving 5-style

abunickabhi

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Big news!

5-style documentation is getting a nice upgrade. All the stuff will be written now on readthedocs which is super neat way to create and maintain documentation.

https://5style-docs.readthedocs.io/en/latest/

It is still in the works, I am learning bit of sphinx command line for this.
I hope you guys get to enjoy the finished documentation some time!
 
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Big news!

5-style documentation is getting a nice upgrade. All the stuff will be written now on readthedocs which is super neat way to create and maintain documentation.

https://5style-docs.readthedocs.io/en/latest/

It is still in the works, I am learning bit of sphinx command line for this.
I hope you guys get to enjoy the finished documentation some time!
That is cool, but there's a correction required. It is the biggest algset in existence, not one of the biggest that exists.
 

abunickabhi

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1880 days completed since I started out with 5-style. For the first couple of months, I was just trying out M U M' U' with various setups and finding images for letter quads ABXX.

So basically 19.3% of my lifetime, I have known about 5-style. But the time I have spent actively working on the set is ~4% of my waking time on earth.
 

abunickabhi

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Some 5-style MBLD analysis. Let me know if some calculation is wrong:
  1. The average 3-cycle edge comm length is 8.6.
  2. The average number of 5-cycles for a large sample size of edges of a 3x3 is ~2.5 algs per cube and for the same scramble we have remaining ~4.5 algs for 3-cycle of corners + last edge target(s).
  3. The average edge comm length using 5-cycles is 10.6, so the solve length would roughly look like, 10.6x2.5 +8.6x4.5 = 26.5 + 38.7 = ~65.2 turns
  4. For a 100 MBLD cube attempt, it would be 65.2x100 = 6520 turns

Let's say we have a pauseless execution speed of 10TPS, we can complete the execution in 652 seconds or 10.86 minutes leaving, 49 minutes for memorization of 100 cubes. Sounds reasonable to me!
 

abunickabhi

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Some cool advanced techniques shared by top BLDers at a seminar at NAC:
  1. Grip cancelling - nice
  2. Parity Shifting - nice
  3. Buffer orientation tracking - I feel this is intermediate stuff.
  4. Buffer order - CEEC/ECCE neutrality and full floating
  5. Cycle break order - very important at the top level, best to make a sheet of drilled full floating and decide the order
  6. Visual memo - already doing it since 2013 nothing new in this
  7. Sandwich floating - ???
  8. Block commutators - not viable other than the parity alg
  9. 4-flips - too rare to learn them up
  10. Nested commutators - already used a lot in 5-style algs
  11. Trace Neutrality - after full floating, how to trace the floating algs the quickest
  12. Premoves to solve more pieces or avoid parity
  13. T2C - 3 twisted corners+parity, super niche and wont occur in too many solves.
  14. LTEF - very good last target + flipped edge, tough to gen good algs for this though
  15. LTCT - used already by top solves, it is a good algset and easy to learn
 

Skewbed

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I think I've shared this idea on a discord server before, but thought it would be relevant here.

I feel like conjugated 5-style might be a more feasible approach to solving 4 pieces at a time.

Imagine using conjugates like in ayam/eka to set up a 5 cycle. It would be more like ayam since you are setting up 2 pieces, but then doing a subset of 5 style (with less algs than 3 style) to solve 4 pieces, and then undoing your setup moves.

It is less algs than 3 style and solves 4 pieces at a time, but the conjugation step is slow for setting up 2 pieces. I think that the best way to do it is just to do 2 3 style algs.
 

abunickabhi

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I think I've shared this idea on a discord server before, but thought it would be relevant here.

I feel like conjugated 5-style might be a more feasible approach to solving 4 pieces at a time.

Imagine using conjugates like in ayam/eka to set up a 5 cycle. It would be more like ayam since you are setting up 2 pieces, but then doing a subset of 5 style (with less algs than 3 style) to solve 4 pieces, and then undoing your setup moves.

It is less algs than 3 style and solves 4 pieces at a time, but the conjugation step is slow for setting up 2 pieces. I think that the best way to do it is just to do 2 3 style algs.
The average alg length for "fingertrickable" 5-cycles is 10.38 STM. And after some stackmatting I found that it is about 40% faster than executing 2 3-style algs. So I will stick with UF5.

What is ayam method @Skewbed ? I know BOP, eka, orozco but hearing ayam for the first time.
 

Skewbed

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The average alg length for "fingertrickable" 5-cycles is 10.38 STM. And after some stackmatting I found that it is about 40% faster than executing 2 3-style algs. So I will stick with UF5.

What is ayam method @Skewbed ? I know BOP, eka, orozco but hearing ayam for the first time.
Ayam is when you set up two pieces at a time to a single 3 style case.
What I proposed is similar: set up two pieces and, and then use one of ~300 5 style cases.
 
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