#### CuberStache

##### Member

I was curious what TPS I usually get on megaminx so I reconstructed three sub-40 solves to find out.

TL;DR: mo3: 38.17, TPS mo3: 4.61. You need 4-5 TPS to be sub-40 on megaminx.

Ok, a couple things before I start: I'm not aware of a standard rotation notation for megaminx so I used

x follows R+ (as in scrambling, rotate about L face)

y follows D- (as in scrambling, rotate about U face)

z follows F (rotate about F face)

And when a comment says something like "W/P/Y" that means the White/Purple/Yellow pair where the last two colors are shared between the edge and corner. Some pairs of colors start with the same letter but you should be able to figure it out.

Also,

Spoiler: Video
Spoiler: Reconstruction 1
Spoiler: Reconstruction 2
Spoiler: Reconstruction 3

Final thoughts/ramblings: First of all, megaminx solves are a pain to reconstruct, lol. Anyway, megaminx requires a lower TPS to be world-class than NxN puzzles. This is mainly due to a large amount of rotations lowering the TPS ceiling. What is that TPS ceiling? It's hard to say. I did TPS for each step to try and find an answer to this. The fastest TPS in a step was 10.00, but clearly U Sexy Sledge is a lot easier to do fast than actual pairs. The fastest TPS for a section excluding LL and the last two pairs (I exclude these because they are very fingertricky and don't give a good representation) was 7.14, which works well enough as an upper limit to the possible TPS on megaminx. This is quite a bit lower than the ceiling for 3x3, which I don't have as much knowledge about but I think is somewhere around 15. Also, a random note: The second solve obviously had a higher movecount and TPS because of the unlucky last layer where I did 3 OLL algs and 2 PLL so ~4.5 TPS is realistic for an average-ish solve. Anyway, I'd love to hear anyone's thoughts on this! I put a lot of work into this so I'd appreciate if someone has something to contribute! Thanks for reading!

TL;DR: mo3: 38.17, TPS mo3: 4.61. You need 4-5 TPS to be sub-40 on megaminx.

Ok, a couple things before I start: I'm not aware of a standard rotation notation for megaminx so I used

x follows R+ (as in scrambling, rotate about L face)

y follows D- (as in scrambling, rotate about U face)

z follows F (rotate about F face)

And when a comment says something like "W/P/Y" that means the White/Purple/Yellow pair where the last two colors are shared between the edge and corner. Some pairs of colors start with the same letter but you should be able to figure it out.

Also,

*please*let me know if you find any errors or things to improve! I want this to be as accurate as possible!R-- D-- R-- D++ R++ D++ R-- D++ R-- D++ U

R++ D++ R-- D-- R-- D-- R++ D++ R-- D++ U

R++ D++ R++ D++ R-- D++ R++ D-- R-- D++ U

R++ D++ R-- D++ R++ D++ R-- D++ R-- D++ U

R-- D-- R-- D-- R-- D++ R++ D++ R++ D-- U'

R++ D++ R++ D++ R-- D-- R-- D++ R-- D++ U

R++ D-- R++ D++ R++ D-- R++ D++ R-- D-- U'

z' y' bL' U2' R2 x' bR2 U2' R' U' z2 y R L2' x' y' bR2 U2 // Star (11 moves/3.8s = 2.89 TPS)

z' x' U2 bL U R F' U R' F // G/P pair (8 moves/2.3s = 3.48 TPS)

U2 y' R U R' y U2' R U z' R2' U2' R2 // W/P/Y (10 moves/2.0s = 5.00 TPS)

y U R' U2' R2 U' x' y' L' U2 x' y' F // W/R/G (8 moves/1.5s = 5.33 TPS)

x' y' U2' R U z' U2 R U R' // W/B/R (7 moves/2.2s = 3.18 TPS)

z' x' y' U2' R U' R' U R F' U R' F // W/B/Y (10 moves/1.4s = 7.14 TPS)

F2L overall: 54 moves/13.2s = 4.09 TPS

bR' R2' x' L F' L' // Y/G & Y/O edges (5 moves/0.9s = 5.56 TPS)

U2' L' U' L z' R2' U2' R2 // Y/G/B pair (7 moves/2.3s = 3.04 TPS)

x' U F' U R F' z y' L' U2 L // Y/P/O (8 moves/2.0s = 4.00 TPS)

z' y R U R2 L' U L // Y/G/O (6 moves/2.0s = 3.00 TPS)

U R2' U2 R U2' R2 U R2 // B/P/R 2x2x2 (8 moves/1.6s = 5.00 TPS)

x' R U2' R2' x y F U2 z' F' // B/P/G (6 moves/2.0s = 3.00 TPS)

x' U2 F2 U' L' U' L U' z y' U2 R U' R' // R/P/C 2x2x2 (11 moves/2.0s = 5.5 TPS)

y U' z' R U' R' // R/C/G (4 moves/1.5s = 2.67 TPS)

U' z y U' F' R U' R' F' R' F2 R // B/G/P 2x2x2 (10 moves/1.7s = 5.88 TPS) [Could have done U' z y U' R U R2' F2 R lol]

y' R' U' R U' R' U R R' U R2 U' R' // G/C/B (12 moves/2.0s = 6.00 TPS) [Not sure if it's really fair to count mistake moves like U R R' U as four but oh well]

U R' U R U' R' U' R // P/O/B (8 moves/1.0s = 8.00 TPS)

S2L overall: 85 moves/19.2s = 4.43 TPS

U2' F U R U' R' F' // EO (7 moves/1.1s = 6.36 TPS)

U2 R' U2' R2 U R2' U R2 U2' R' // CO (10 moves/1.7s = 5.88 TPS)

U2 U y bR' U2 R U R' U' bR U R U' R' bR' U2' bR // PLL (16 moves/3.9s = 4.10 TPS)

LL overall: 33 moves/6.7s = 4.93 TPS

SOLVE ONE: 172 moves/39.09s = 4.40 TPS

R++ D++ R-- D-- R-- D-- R++ D++ R-- D++ U

R++ D++ R++ D++ R-- D++ R++ D-- R-- D++ U

R++ D++ R-- D++ R++ D++ R-- D++ R-- D++ U

R-- D-- R-- D-- R-- D++ R++ D++ R++ D-- U'

R++ D++ R++ D++ R-- D-- R-- D++ R-- D++ U

R++ D-- R++ D++ R++ D-- R++ D++ R-- D-- U'

z' y' bL' U2' R2 x' bR2 U2' R' U' z2 y R L2' x' y' bR2 U2 // Star (11 moves/3.8s = 2.89 TPS)

z' x' U2 bL U R F' U R' F // G/P pair (8 moves/2.3s = 3.48 TPS)

U2 y' R U R' y U2' R U z' R2' U2' R2 // W/P/Y (10 moves/2.0s = 5.00 TPS)

y U R' U2' R2 U' x' y' L' U2 x' y' F // W/R/G (8 moves/1.5s = 5.33 TPS)

x' y' U2' R U z' U2 R U R' // W/B/R (7 moves/2.2s = 3.18 TPS)

z' x' y' U2' R U' R' U R F' U R' F // W/B/Y (10 moves/1.4s = 7.14 TPS)

F2L overall: 54 moves/13.2s = 4.09 TPS

bR' R2' x' L F' L' // Y/G & Y/O edges (5 moves/0.9s = 5.56 TPS)

U2' L' U' L z' R2' U2' R2 // Y/G/B pair (7 moves/2.3s = 3.04 TPS)

x' U F' U R F' z y' L' U2 L // Y/P/O (8 moves/2.0s = 4.00 TPS)

z' y R U R2 L' U L // Y/G/O (6 moves/2.0s = 3.00 TPS)

U R2' U2 R U2' R2 U R2 // B/P/R 2x2x2 (8 moves/1.6s = 5.00 TPS)

x' R U2' R2' x y F U2 z' F' // B/P/G (6 moves/2.0s = 3.00 TPS)

x' U2 F2 U' L' U' L U' z y' U2 R U' R' // R/P/C 2x2x2 (11 moves/2.0s = 5.5 TPS)

y U' z' R U' R' // R/C/G (4 moves/1.5s = 2.67 TPS)

U' z y U' F' R U' R' F' R' F2 R // B/G/P 2x2x2 (10 moves/1.7s = 5.88 TPS) [Could have done U' z y U' R U R2' F2 R lol]

y' R' U' R U' R' U R R' U R2 U' R' // G/C/B (12 moves/2.0s = 6.00 TPS) [Not sure if it's really fair to count mistake moves like U R R' U as four but oh well]

U R' U R U' R' U' R // P/O/B (8 moves/1.0s = 8.00 TPS)

S2L overall: 85 moves/19.2s = 4.43 TPS

U2' F U R U' R' F' // EO (7 moves/1.1s = 6.36 TPS)

U2 R' U2' R2 U R2' U R2 U2' R' // CO (10 moves/1.7s = 5.88 TPS)

U2 U y bR' U2 R U R' U' bR U R U' R' bR' U2' bR // PLL (16 moves/3.9s = 4.10 TPS)

LL overall: 33 moves/6.7s = 4.93 TPS

SOLVE ONE: 172 moves/39.09s = 4.40 TPS

R++ D++ R-- D++ R++ D-- R-- D-- R++ D++ U

R-- D-- R++ D++ R++ D-- R-- D++ R++ D-- U'

R-- D++ R-- D++ R++ D++ R-- D++ R-- D-- U'

R-- D++ R++ D++ R-- D-- R++ D-- R-- D-- U'

R++ D-- R-- D-- R++ D++ R++ D++ R++ D++ U

R-- D++ R-- D-- R-- D++ R-- D-- R++ D++ U

R-- D-- R-- D++ R-- D-- R++ D++ R-- D++ U

y' F' L F2' z' L2' bL U2' z2' bR2' R U R2 // Star (10 moves/3.2s = 3.13 TPS)

z' x' U' z' U' R U2' R' y2 x F' U2 R' F // W/G/P (9 moves/2.6s = 3.46 TPS)

z' bR' z bR R' F U F' // W/R/G (6 moves/2.0s = 3.00 TPS)

R U' R x' y' R' L' U2 L // W/R/B (7 moves/1.1s = 6.36 TPS)

U R2 U R' U2 x' y' L2 U2 L2' // W/P/Y (8 moves/2.1s = 3.81 TPS)

x' y' R x' y' R2' U' R U z' R2' U2' R2 // W/Y/B (8 moves/2.0s = 4.00 TPS)

F2L overall: 48 moves/13.0s = 3.69 TPS

y U2' R' x' bR' U2 F2' // Y/G and Y/O edges (5 moves/1.7s = 2.94 TPS)

U' R U' R F' U R' F // Y/G/O (8 moves/1.2s = 6.67 TPS)

z2' x' U2 R U R' // Y/G/B (4 moves/1.3s = 3.08 TPS)

U2 z U R U2 x' U2 L U' L' // Y/P/O (8 moves/1.8s = 4.44 TPS)

x y F U' R' F2 U2' z' U2' R U' R' U2' z L' U2 L // B/P/G 2x2x2 (13 moves/2.3s = 5.65 TPS)

x y U R U2' R' U // B/P/R (5 moves/0.9s = 5.56 TPS)

z R' U R x' U R' U R L' U L // R/C/P 2x2x2 (10 moves/1.8s = 5.56 TPS)

U U' U R U2' R' F' U R' F // R/G/C (10 moves/1.8s = 5.56 TPS)

R U' y R' F R y' R U2' R2' U R2 // G/B/P 2x2x2 (10 moves/2.1s = 4.76 TPS)

R' U2' R U R' U' R // P/O/B (7 moves/1.2s = 5.83 TPS)

y L' U L U' L' U' L // G/B/C (7 moves/0.9s = 7.78 TPS)

S2L overall: 87 moves/17.0s = 5.12 TPS

F U R U' R' F' U' R' U' F U R U' R' F' R // EO + some corners (16 moves/2.6s = 6.15 TPS)

U2' R U R' U R U R' U2' R U' R' // CO (12 moves/1.4s = 8.57 TPS)

U' U y' F R U' R' U' R U R' F' R U R' U' R' F R F' // CP [Y-Perm] (19 moves/3.1s = 6.13 TPS)

U2 R U R' U2 R' U' R U' R U R2' U R U' R U2' R' U2' // EP (19 moves/2.2s = 8.64 TPS)

LL overall: 66 moves/9.3s = 7.10 TPS

SOLVE TWO: 201 moves/39.33s = 5.11 TPS

R-- D-- R++ D++ R++ D-- R-- D++ R++ D-- U'

R-- D++ R-- D++ R++ D++ R-- D++ R-- D-- U'

R-- D++ R++ D++ R-- D-- R++ D-- R-- D-- U'

R++ D-- R-- D-- R++ D++ R++ D++ R++ D++ U

R-- D++ R-- D-- R-- D++ R-- D-- R++ D++ U

R-- D-- R-- D++ R-- D-- R++ D++ R-- D++ U

y' F' L F2' z' L2' bL U2' z2' bR2' R U R2 // Star (10 moves/3.2s = 3.13 TPS)

z' x' U' z' U' R U2' R' y2 x F' U2 R' F // W/G/P (9 moves/2.6s = 3.46 TPS)

z' bR' z bR R' F U F' // W/R/G (6 moves/2.0s = 3.00 TPS)

R U' R x' y' R' L' U2 L // W/R/B (7 moves/1.1s = 6.36 TPS)

U R2 U R' U2 x' y' L2 U2 L2' // W/P/Y (8 moves/2.1s = 3.81 TPS)

x' y' R x' y' R2' U' R U z' R2' U2' R2 // W/Y/B (8 moves/2.0s = 4.00 TPS)

F2L overall: 48 moves/13.0s = 3.69 TPS

y U2' R' x' bR' U2 F2' // Y/G and Y/O edges (5 moves/1.7s = 2.94 TPS)

U' R U' R F' U R' F // Y/G/O (8 moves/1.2s = 6.67 TPS)

z2' x' U2 R U R' // Y/G/B (4 moves/1.3s = 3.08 TPS)

U2 z U R U2 x' U2 L U' L' // Y/P/O (8 moves/1.8s = 4.44 TPS)

x y F U' R' F2 U2' z' U2' R U' R' U2' z L' U2 L // B/P/G 2x2x2 (13 moves/2.3s = 5.65 TPS)

x y U R U2' R' U // B/P/R (5 moves/0.9s = 5.56 TPS)

z R' U R x' U R' U R L' U L // R/C/P 2x2x2 (10 moves/1.8s = 5.56 TPS)

U U' U R U2' R' F' U R' F // R/G/C (10 moves/1.8s = 5.56 TPS)

R U' y R' F R y' R U2' R2' U R2 // G/B/P 2x2x2 (10 moves/2.1s = 4.76 TPS)

R' U2' R U R' U' R // P/O/B (7 moves/1.2s = 5.83 TPS)

y L' U L U' L' U' L // G/B/C (7 moves/0.9s = 7.78 TPS)

S2L overall: 87 moves/17.0s = 5.12 TPS

F U R U' R' F' U' R' U' F U R U' R' F' R // EO + some corners (16 moves/2.6s = 6.15 TPS)

U2' R U R' U R U R' U2' R U' R' // CO (12 moves/1.4s = 8.57 TPS)

U' U y' F R U' R' U' R U R' F' R U R' U' R' F R F' // CP [Y-Perm] (19 moves/3.1s = 6.13 TPS)

U2 R U R' U2 R' U' R U' R U R2' U R U' R U2' R' U2' // EP (19 moves/2.2s = 8.64 TPS)

LL overall: 66 moves/9.3s = 7.10 TPS

SOLVE TWO: 201 moves/39.33s = 5.11 TPS

R-- D-- R-- D-- R-- D-- R-- D++ R-- D++ U

R-- D++ R++ D++ R++ D++ R++ D++ R++ D-- U'

R++ D++ R++ D-- R-- D-- R-- D++ R++ D-- U'

R-- D-- R++ D++ R++ D++ R-- D++ R++ D-- U'

R++ D-- R-- D-- R++ D-- R-- D++ R++ D++ U

R-- D-- R++ D-- R-- D++ R-- D-- R-- D-- U'

R-- D++ R-- D-- R++ D-- R++ D++ R-- D-- U'

x y2 R2 U' x' L U' F2' R2 F z' bL2' z' x' L2' // Star (9 moves/3.3s = 2.73 TPS)

x' y' U' R' F' U R' F // W/P/Y (6 moves/2.0s = 3.00 TPS)

U2 R' U R x' y' R' L' U2 L // W/R/G (8 moves/1.9s = 4.21 TPS)

bL' U2' R' U2' R U' z' R U2' R' // W/G/P (9 moves/2.3s = 3.91 TPS)

z y' bR2 z R2 y' U2' R U R' U2 z U' R' U2 F U' F' // W/B/Y [& bring the W/B/R corner closer I guess] (13 moves/3.0s = 4.33 TPS)

z' R U R' U R U R' // W/B/R (7 moves/1.8s = 3.89 TPS)

F2L overall: 52 moves/14.3s = 3.64 TPS

x' y2' F2 U' R2' // Y/O & Y/G edges (3 moves/1.1s = 2.73 TPS)

z U' R F' U R' F // Y/G/O (6 moves/1.4s = 4.29 TPS)

x' z' U2 R U R' U2 z' y dL' L2' dL // Y/P/O (8 moves/1.8s = 4.44 TPS)

y bL' F' U' F R2' F' R F // Y/G/B (8 moves/1.7s = 4.71 TPS)

bL' U2 R2' R' U2' R2 U R' // B/P/G 2x2x2 (8 moves/1.2s = 6.67 TPS)

y z' U2 y L' U' L U2' L' U L // B/P/R (8 moves/2.1s = 3.81 TPS)

x' z' U2' R U R' U y L' U' L // R/C/G 2x2x2 (8 moves/1.8s = 4.44 TPS)

x' y' R2' U R y L U L' // R/C/P (6 moves/1.2s = 5.00 TPS)

U2 R' F R F' U y' R' U' R2 // G/B/P 2x2x2 (9 moves/2.3s = 3.91 TPS)

U R' U R U2 R U' R' // G/C/B (8 moves/1.1s = 7.27 TPS)

U' R' U2' R U' R' U' R // P/O/B (8 moves/1.2s = 6.67 TPS)

S2L overall: 80 moves/16.9s = 4.73 TPS

U R U R' U' R' F R F' // OLL (9 moves/0.9s = 10.00 TPS)

U2 y' R2' U' F2 U' R2 U' R2' U F2' R2 U' R2' U2' R2 // PLL (15 moves/4.0s = 3.75 TPS)

LL overall: 24 moves/4.9s = 4.90 TPS

SOLVE THREE: 156 moves/36.10s = 4.32 TPS

R-- D++ R++ D++ R++ D++ R++ D++ R++ D-- U'

R++ D++ R++ D-- R-- D-- R-- D++ R++ D-- U'

R-- D-- R++ D++ R++ D++ R-- D++ R++ D-- U'

R++ D-- R-- D-- R++ D-- R-- D++ R++ D++ U

R-- D-- R++ D-- R-- D++ R-- D-- R-- D-- U'

R-- D++ R-- D-- R++ D-- R++ D++ R-- D-- U'

x y2 R2 U' x' L U' F2' R2 F z' bL2' z' x' L2' // Star (9 moves/3.3s = 2.73 TPS)

x' y' U' R' F' U R' F // W/P/Y (6 moves/2.0s = 3.00 TPS)

U2 R' U R x' y' R' L' U2 L // W/R/G (8 moves/1.9s = 4.21 TPS)

bL' U2' R' U2' R U' z' R U2' R' // W/G/P (9 moves/2.3s = 3.91 TPS)

z y' bR2 z R2 y' U2' R U R' U2 z U' R' U2 F U' F' // W/B/Y [& bring the W/B/R corner closer I guess] (13 moves/3.0s = 4.33 TPS)

z' R U R' U R U R' // W/B/R (7 moves/1.8s = 3.89 TPS)

F2L overall: 52 moves/14.3s = 3.64 TPS

x' y2' F2 U' R2' // Y/O & Y/G edges (3 moves/1.1s = 2.73 TPS)

z U' R F' U R' F // Y/G/O (6 moves/1.4s = 4.29 TPS)

x' z' U2 R U R' U2 z' y dL' L2' dL // Y/P/O (8 moves/1.8s = 4.44 TPS)

y bL' F' U' F R2' F' R F // Y/G/B (8 moves/1.7s = 4.71 TPS)

bL' U2 R2' R' U2' R2 U R' // B/P/G 2x2x2 (8 moves/1.2s = 6.67 TPS)

y z' U2 y L' U' L U2' L' U L // B/P/R (8 moves/2.1s = 3.81 TPS)

x' z' U2' R U R' U y L' U' L // R/C/G 2x2x2 (8 moves/1.8s = 4.44 TPS)

x' y' R2' U R y L U L' // R/C/P (6 moves/1.2s = 5.00 TPS)

U2 R' F R F' U y' R' U' R2 // G/B/P 2x2x2 (9 moves/2.3s = 3.91 TPS)

U R' U R U2 R U' R' // G/C/B (8 moves/1.1s = 7.27 TPS)

U' R' U2' R U' R' U' R // P/O/B (8 moves/1.2s = 6.67 TPS)

S2L overall: 80 moves/16.9s = 4.73 TPS

U R U R' U' R' F R F' // OLL (9 moves/0.9s = 10.00 TPS)

U2 y' R2' U' F2 U' R2 U' R2' U F2' R2 U' R2' U2' R2 // PLL (15 moves/4.0s = 3.75 TPS)

LL overall: 24 moves/4.9s = 4.90 TPS

SOLVE THREE: 156 moves/36.10s = 4.32 TPS

Final thoughts/ramblings: First of all, megaminx solves are a pain to reconstruct, lol. Anyway, megaminx requires a lower TPS to be world-class than NxN puzzles. This is mainly due to a large amount of rotations lowering the TPS ceiling. What is that TPS ceiling? It's hard to say. I did TPS for each step to try and find an answer to this. The fastest TPS in a step was 10.00, but clearly U Sexy Sledge is a lot easier to do fast than actual pairs. The fastest TPS for a section excluding LL and the last two pairs (I exclude these because they are very fingertricky and don't give a good representation) was 7.14, which works well enough as an upper limit to the possible TPS on megaminx. This is quite a bit lower than the ceiling for 3x3, which I don't have as much knowledge about but I think is somewhere around 15. Also, a random note: The second solve obviously had a higher movecount and TPS because of the unlucky last layer where I did 3 OLL algs and 2 PLL so ~4.5 TPS is realistic for an average-ish solve. Anyway, I'd love to hear anyone's thoughts on this! I put a lot of work into this so I'd appreciate if someone has something to contribute! Thanks for reading!

Last edited: Jan 30, 2020