Thread: "Few thoughts about new methods of solving hypercubes, shortest solutions, etc..."

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Hello all!

On Polish RubikChampionships I've met some people who were really enthusia=
stic with solving hypercubes and after few days The Hall of Fame and Insani=
ty were attacked by these people:)

Mateusz Burnicki, Kamil Gorski, Kamil Pawlak joined 3^4 society but it's no=
t all. Konrad Przetacznik and Mateusz Burnicki managed to solve 3^5. I've d=
ecided to do something too and I've needed some relax so... I've started pl=
aying with hypercubes and I've chosen the worst thing anybody could imagine=
-> Shortest solutions!

First I've tried 4x4x4x4. Soon I got my record back. The last record (made=
by Noel) was 1712. Now it is 1130 (And I have some hopes that I can do thi=
s under 1000). I was using standard method (the Best Method - also known as=
the Roice Method:). Nothing new. Just very careful puting pieces together.=
I've nedded exactly 500 twists to do all centres and 2C pieces on exact pl=
aces. I'm not happy with the 3C phase because I've used the 8 twist serie i=
nstead of 4 twist serie (which I've learnt from Roice's post on 4D_Cubing a=
fer his marvelous record 334 on 3^4).=20
I hope someday I will find some time to play with 3C pieces and try this wa=
y.

After championships I had a dream. I was solving hypercube 3^4 starting fro=
m 3C pieces :) I've tried this because 8 twists for puting 3C pieces it's t=
oo much.

I realised this when I was trying shortest solution and I was puting TWO 3C=
pieces in correct place using single 8 twist serie:

(4-5 twists for preliminary moves) + (II Roice Serie)+ (4-5 twist for going=
back with preliminary moves) =3D around 18 twists but sometimes it was eve=
n 26.

Using I,II 3C Serie + I 4C Serie I've done my BEST (really!) and... I got 5=
12 twists.

It was relly depressing because I was really doing whatever I could but st=
ill I was miles away from the best result.


I started to think about different methods:

1. Solving 3C pieces first by intuition (without series) just like we do wi=
th 2C pieces. I've manadged to do half 3C pieces still not crossing 70 twis=
ts. (Of course I haven't thought what to do next :P) It wasn't method good =
for shortest solutions because you need many twists to operate only on 2C n=
ot disturbing 3C and 4C... Of course if you have macros you can use this fo=
r hyperspeedsolving. In clasiscal methed given by Roice 3C pieces take you =
the huge amount of time... You know: pre-moves + SERIE+back pre-moves. It s=
ometimes make trouble. You have to remember how you prepared sittuation, et=
c. Maybe I will explore this method in hyperspeedsolving...

I stopped this solvie then I realised that I'm able to do at the same time =
also 4C pieces. So I've steped to the next level:

2. LBL (Layer by layer) method.

I manadged to do blue cube (blue "face") in about 120 twists. It wasn't bad=
at all, it was 3/8 the whole hypercube. You must remeber that it was 8x 4C=
pieces and 12 x 3C on good places, with perfect oreintation, etc. So that'=
s a lot of savings of your precious twists!

But I wasn't sure what to do next. Luckily I've got an e-mail form Ecseki w=
ho send his log with solution.It turned out that one can use 3D algorithms =
for 4D cube :) (exept 4C pieces). (Thanx man).

I've decided to finish my Layer by layer solution. I've tried to solve all =
2C pieces left and next all 3C. But it costed me too much twists.=20

I even discovered somekind of 4D F2L :-). One slot contained with one 2C an=
d two 3C pieces. I also decided to destroy one "edge" of the blue "face" so=
I could use somethink similiar to the "Working Corner Method" :). Unfortun=
atelly the rest of blue "face" was blocking me really hard. Almost every pr=
eliminary move was moving blue stickers into "working area" and destroying =
everything (The problem was with blue 4C pieces...)-> so maybe I will give =
a next try in the future -> blue "face" witout 4C pieces ... that should wo=
rk...

That was the moment I started using 4 twist Serie proposed by Roice. But st=
ill: Blue face was hurting my mind terribly everytime I was trying to set p=
ieces and AVOID puting blue sticer wherever 4C serie was acting. (I could s=
ay fist the all I was avoiding and next I was trying to set up some pieces =
:-)

You must realise that 4C serie consider mixing 7 x 3C pieces and 6 x 4C. So=
metimes is immpossible to hide all good pieces in not disturbed area. It wa=
s real madness. Finally I've found myself in the 4C phase, but I was too ti=
red to remeber anything from that to tell you anything now. I got 390 twist=
result and I was really proud but still it was 2:0 for the Roice :P


To be continue...
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