The Snyder Method, invented by Anthony Snyder in 1982, is both a fewest moves and a speedsolving method for the 3x3x3 cube. It is based on blockbuilding and can be compared to Petrus and the Heise Method.
- 1. (2x2x2 block step or Xcross step) Form a 2x2x2 block, optionally an Xcross. (Anthony has since added optional starts using a 1x2x3 or a 2x2x3, also with or without the cross.)
- 2. (Go to F2L-1 cube state) Use any variety of methods to solve the rest of F2L, except for one slot.
- 3. (LS+1E step) Solve the final pair and insert it while simultaneously orienting and placing a minimum of one last layer edge to go to LL:1E (O+P) cube state. (If there are no oriented edges, do a sledgehammer or its mirror)
- 4. (LLE+1C step) Orient and permute all the last layer edges, plus one corner to go to L3C cube state.
- 5. (L3C) Solve the last three corners.
A salient characteristic of the Snyder Method is to orient and permute each piece at each stage simultaneously. Anthony claims several advantages for this:
- Simultaneous orientation and permutation helps to visualize piece relationships, useful to intuitive solving.
- There is a mathematical advantage.
Though there are many cases to first solving the LLE+1C, the more common cases can generally be solved in 6-10 turns, making it quite turn efficient.
Although the Snyder Method closely resembles the Petrus Method in its F2L approach, its last-layer method differs considerably. This last-layer method was independently proposed in 2005 by Kenneth Gustavsson, who called it "Fish & Chips".
A word about algorithms
Anthony found almost all of his algorithms independently and without computer aid, and claims that his method is one of the most efficient based primarily on human-generated algorithms. Anthony explained this as follows: "In the 80's there was a general stereotype that using a computer was cheating, plus [I] enjoyed thinking up [my] own algorithms." However, he plans to upgrade his method using a computer in the near future.
In the early 80's, Anthony developed a complete set of fewest-move solutions for the CE pair cases and for the last three corners cases. However, he relied more extensively on the use of combinations and exchanges to efficiently put in the LL edges + corner. He makes up for this with a large selection of approximate direct-solves on the entire LL, claiming to switch to this mode about 20% of the time.
This method requires 1-2 looks for the block+cross start, then up to 1 look each for the 1-3 CE pairs, then 1-2 looks for the last layer. Though there are a lot of looks, an attentive solver can be quite efficient, and average around 40 turns. Though a beginner will likely take a lot more than this, and a pro taking their time may get his/her average down to about 36. Many of the shorter algorithms were added throughout the 80's and 90's, and the library of LL direct solves were mostly added in the 00's.
Note: Having complete sets of short algorithms was very unusual in the 1980s (combining 2 algs in 1-look was a common solution). Kenneth Gustavsson suggested the same LL-method ('Fish & Chips') in 2005 but with VHF2L and the rest in two clearly defined steps, EP + 1 corner (36 cases, the 'fish' step) and then L3C (22 cases, the 'chips' step), this makes a 2-look ZBLL, often a little more effective than COLL/EPLL.
The Snyder Method allows a number of variations to be applied wherever convenient.
- when a 2x2x3 block is not immediately apparent he will start with either a 1x2x3 or a 2x2x2, then immediately finish the 2x2x3 block with a second look, or, he puts together several CE pairs as in Heise, then assembles those into a F2L minus one CE
- two or more CE may be solved simultaneously to complete the F2L faster
- the LL may be solved in 1 look rather than 2, using either a shortest-move algorithm, combination, or substitution
In 1981 he printed his simple solution, a 7 algorithm system that is easy to learn. It was entitled, "Tony Snyder's Simplest Solution to Solve a Rubik's Cube", and though he personally only taught a handful of people this technique, a classmate took a copy and passed it out to students in a number of schools. He has not yet put to print his advanced technique.
Here are some of Anthony's solves.
- The Snyder Method
- A newer demo, easier to see
- 5 solves using Snyder Method 2, showing how fast it is despite his handicaps.
If you have edges oriented when starting the last layer you can often do using only Sune, double Sune (or inverse and/or mirrors), J-PLL a/b or U-PLL a/b for the first look. Here are a couple of examples that show how this is done:
Scramble Solution F U F' L2 B' U' B U L2 F U' F' U AUF to U-PLL a on the left side, (L3C 3-twist). L' U R U' B2 U' B2 U B2 R' L U' AUF J-PLL b, (L3C 'Anti Niklas') B' F R2 U' R2 U R2 U F' U' B U' J-PLL b, (L3C Niklas) R2 F2 R2 U R' F2 R U' R2 F2 R U R U left side double Antisune (L' U2 L U...) R' F U2 F U L' U L F U' F U F R U2 left side double Antisune (again!) B L2 F' D F' D' F2 L2 B' U' y J-PLL a (setup L' before the y for 1LLL) L U2 L D' B2 D L' U2 L D' B2 D L2 U' y2 left Antisune.
Sometimes more than one of these solutions are possible. Working like this solves the step in an easy 2:5 times, maybe more. It is effective, fast and OH-friendly, but recogniton for the sune/doublesune cases is horrible without loads of practice. For the cases where two opposite edges needs to be swapped COLL is a recommended alternative and for the cases with edges correct, one or two look L4C.
- Speedsolving.com: Tony Snyder solves the cube
- Speedsolving.com: Reconstructions
- Speedsolving.com: Five more reconstructions
- blog.naver.com (korean, 3LLE+1C):