rokicki

 Megaminx last layer average total solution, assuming each step is
 performed optimally.  Three-gen is URF, four-gen is URFL, and
 six-gen is all top six faces.
 
 three-gen        four-gen         six-gen          steps
 17.3372256515775 16.4050951646091 15.595565414952  EO+CO+EP+CP
 23.2608299039781 22.293244170096  21.4427983539095 EO CO+EP+CP
 24.079179526749  22.964274691358  21.875591563786  EP EO+CO+CP
 24.0493698559671 22.9671296296296 22.024112654321  CP EO+CO+EP
 25.4716242283951 24.2448167438272 23.3080922067901 CO EO+EP+CP

rokicki

Step 1 done
21626001637244928000 21626001637244928000
Step 2 done
6708909075854517469526020550861783040000000 6708909075854517469526020550861783040000000
Step 3 done
192478109606665638469868501076483558604800000000 192478109606665638469868501076483558604800000000
Step 4 done
Step 5 done
1 1 3.872012526495517e-89
2 228667704323788285111695436746134732031312791601151 8.854042155466813e-39

rokicki

Each of these positions is 18* in the STM.  The code
that calculated them is part of the cube20 software,
which uses (for instance) U1 instead of U and U3
instead of U'.  Since cube20 doesn't do centers, the
slice moves are implemented as parallel moves on
opposite faces as follows:

   I = U D'
   J = F B'
   K = R L'

rokicki

L2 U R2 F2 D L2 D2 F' R' F' L B U' F' D' U' R U'
B2 R B' R U B' R L D2 B' U' B2 F L2 F L F' U'
B' L2 D' U' B D2 B' U L2 B U F2 R U' R2 U F2 U'
B' L D F2 D B' R F D R F D L F2 D R F2 U'
U2 R D R' B R2 F' R D2 L F D' U' R F' R F' U'
F2 D' R2 B2 R2 B2 U R2 D2 B2 F' U R' U2 R U' F' U'
F2 U' R2 F2 R2 F2 D L2 D2 B2 F' U R' U2 R U' F' U'
B2 R F' R B' R B2 D2 L' D L' B R' D R2 U R2 U'
D F R2 F2 L B D L2 U' R' D U R2 B2 R U F' U'
F' D F R B' R2 U L F2 L D R2 B' R F U F' U'

rokicki

 F2 D L2 D' R2 U2 L2 B2 U' F2 U2 R2 U B2 R2 U R2 B2
 F2 D L2 F2 U L2 U' B2 L2 D2 R2 D' B2 L2 D' L2 D2 R2
 F2 D L2 F2 D2 F2 D B2 L2 U' L2 B2 L2 U F2 D L2 D2
 F2 D F2 D2 L2 F2 R2 B2 D L2 U R2 U2 B2 U' F2 U' L2
 F2 D B2 F2 D R2 U L2 B2 D2 L2 B2 U L2 U2 B2 D' L2
 F2 D F2 D F2 D2 R2 D' L2 F2 L2 B2 U R2 D2 R2 F2 U
 F2 D L2 F2 D F2 U2 B2 L2 U' L2 U2 L2 F2 U' L2 D' R2
 F2 D F2 D F2 D2 F2 R2 U' R2 F2 D2 L2 F2 D' B2 U' R2
 F2 D L2 F2 D F2 D2 F2 R2 U' R2 D2 L2 F2 D' B2 U' R2
 F2 D F2 D F2 D2 L2 D L2 U2 L2 F2 D' R2 U' L2 B2 F2

rokicki

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<style type="text/css"><![CDATA[.sticker { stroke: #000000; stroke-width: 1px; }]]></style>
<g><title>U</title>
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<polygon id="EDGES-l0-o0" class="sticker" style="fill: #ffffff" points="226.25244677906585 66.16102603813789 244.93384146724563 79.73385376155397 226.25244677906588 93.30668148497 207.57105209088613 79.73385376155392"/>
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rokicki

1 1 2.3120316385202037e-18
2 170911549183 3.951529090995979e-07
3 33894540622394 7.83652502920832e-05
4 4346957030144256 0.010050302184981343
5 133528172514624 0.00030872135948759456
6 140621059298755526 0.3251203381409485
7 153245517148800 0.00035430848410941603
8 294998638981939200 0.682046186646643
9 55333752398428896 0.12793338622321082
10 34178553690432192 0.07902189749114069

rokicki

 B' U L2 R2 U2 F' R2 F D B'
 F' L2 R2 D2 U2 F' U' R2 D B2
 B' D2 U F2 B' D2 F' D' U2 F'
 F' D U2 F' R2 F D L2 R2 F'
 F' L2 R2 D2 U2 F' U' L2 D F2
 F' D2 U F' L2 F U L2 R2 F'
 B' D2 U F U2 B2 D2 F' D F'
 B' D U2 F2 B' U2 F' D2 U' F'
 B' D L2 R2 D2 F' L2 F U B'
 F' L2 R2 D2 U2 F' U' F2 D F2

rokicki

SetOrder EDGES 29 34 27 24 37 50 32 31 36 14 39 13 41 11 44 16 43 2 19 18 1 22 10 4 5 7 45 26 21 8
SetOrder CORNERS 35 49 30 38 40 48 47 33 25 12 42 46 23 20 17 6 9 15 3 28
Alg D'
Alg D2'
Alg D2
Alg D
Alg B'
Alg B2'
Alg B2
Alg B

rokicki

 
 F D B' F L B' F U B' F R B'
 F D' B' F L' B' F U' B' F R' B'
 F U B' F R B' F D B' F L B'
 F U D R L B F U D R L B
 F U D' L U D' B U D' R U D'
 F U' B' F R' B' F D' B' F L' B'
 F L B' F U B' F R B' F D B'
 F U' D R U' D B U' D L U' D
 F L' B' F U' B' F R' B' F D' B'