Online since 2002. Over 3300 puzzles, 2600 worldwide members, and 270,000 messages.

TwistyPuzzles.com Forum

It is currently Thu Apr 17, 2014 7:59 am

All times are UTC - 5 hours



Post new topic Reply to topic  [ 1 post ] 
Author Message
 Post subject: How to scramble and how to solve cubic 4x4x5 II.
PostPosted: Tue Jun 12, 2012 6:12 am 
Offline
User avatar

Joined: Tue Mar 24, 2009 12:52 pm
Image

It is a hybrid of a cube 4х4х4 and cuboid 4х4х5.

How to scramble this cubic 4x4x5 II.

Step 1. Side 4х4 in height in 0,5 element - top.
In the any order we alternate turns of a layer U and algorithms of rearrangements of the dual angular and dual edges of layers (Uw). Periodically turning a cubic 4x4x5 in space on an axis Y. Algorithms of a cuboid 4х4х5 here are applied only (either return algorithms or mirror algorithms). For example:

a) F2 (R2 Uw' L2 Uw)*2 F2;
b) F2 (Dw R2 Dw' r2)*2 F2;
c) F2 (Dw R2 Dw' l2)*2 F2;
d) (R2 Uw2)*2 R2 Uw (R2 Uw2)*2 R2 Uw';
e) [(R2 Uw)*2 (R2 Uw2)*2]*2 and any others;

Step 2. Side 4х4 in height in 1 element - top.
In the any order we alternate turns of a layer U and algorithms of rearrangements of the dual angular and dual edges of layers (Uw) (algorithms of a cuboid 4х4х5 either return algorithms or mirror algorithms). Also we use algorithms of 3-cycles of piece rearrangements of edges and angular elements of a side 4х4 in height in 1 element for a cube 4х4х4 (either return algorithms or mirror algorithms):

Image Image

Image

Here again is not forgotten periodically to turn a cubic 4x4x5 in space on an axis Y.
At rearrangement by 3-cycles of edges and angular elements, they also will be developed on a place;

Step 3. Side 4х4 in height in 1 element - top.
We scramble among themselves central elements of average layers of sides 4х5 on the following algorithms (either return algorithms or mirror algorithms):

a) only between opposite layers - on algorithm similar to this:

Image

b) in the any order between the next layers:

Image

It is possible to rearrange steps 1, 2, 3 by places!

Step 4. Any of sides 4х4 - top.
We scramble a cubic 4x4x5 on algorithms of a cuboid 4х4х5 - extreme layers parallel to the top side rotating as dual - Uw and Dw and all vertical layers we turn on 180 degrees;

Step 5. We create visual effect "of the completely stopped puzzle". For this purpose we turn layers of height in 5 elements on 90 degrees in the party of a side 4х4 in height in 1 element and is alternated with perpendicular turns.

ImageImage

Thus it is possible to make 5-6 turns a maximum.

How to solve this cubic 4x4x5 II.

Step 1. We get rid of visual effect "of the completely stopped puzzle". For this purpose in of a return sequence we turn layers of last step of scrambling of a cubic 4x4x5. It not so is difficult;

Step 2. Any of sides 4х4 – top.
We rotate extreme layers parallel to the top side as dual - Uw and Dw and algorithms of a cuboid 4х4х5 is solved "CAP" on a side 4х4 in height in 0,5 elements. All elements of a side 4х4 in height in 0,5 elements are correctly focused also them more easy to find by a sight. The centre 2х2 of an opposite side 4х4 thus will solved automatically.
"CAP" is solved so:
а) to solve 4 central elements;
b) to solve edges;
c) to solve corners - as on a cube 3х3х3 at solve of one side;

Step 3. Side 4х4 in height in 1 element - top.
Completely solve all central elements of average layers of sides 4х5;

Step 4. Side 4х4 in height in 0,5 element - top.
a) we double on colours at first angular elements of sides U and u:

ImageImage

And then edges elements of sides U and u:

Image Image

Image Image

b) we rearrange already dual elements, and completely we solve layers U and u by the same method, as at solve "CAPS" only in the correct order;

Step 5. Side 4х4 in height in 1 element - top.
a) after solve of the dual side of height in 0,5 elements is restored (if necessary) all central elements of average layers of sides 4х5 - with the help of simple algorithms in 4 turns or in a difficult situation - algorithm given in section " How to scramble ..."( a Step 3, item а));
b) to solve stayed of edges elements of average layers of sides 4х5 - with the help of simple algorithms in 4 turns, or algorithm:
(R2 Uw2)*2 R2;
c) by algorithms of 3-cycles of piece rearrangements of edges and angular elements is solved "CAP".
The basic algorithm of turn of two corners with which help is possible to solve any situation:

Image

And for an example two algorithms of fast turn 3 or 4 corners, which are possible to not remember:

Image

Image

Example of turn 2 edges with the help of 3-cycles:

Image

d) we double on colours AT FIRST angular elements, then of edges elements of sides U and u.
Example of difficult rearrangement cross-wise two pairs edges:

Image

e) We rearrange already dual elements and completely we solved layers U and u - algorithms of solving of a cuboid 4x4x5.

ОК. THE CUBIC 4x4x5 II IS SOLVED!!!

Very difficult and very interesting puzzle.
I RECOMMEND! ;)


Top
 Profile  
 
Display posts from previous:  Sort by  
Post new topic Reply to topic  [ 1 post ] 

All times are UTC - 5 hours


Who is online

Users browsing this forum: No registered users and 4 guests


You cannot post new topics in this forum
You cannot reply to topics in this forum
You cannot edit your posts in this forum
You cannot delete your posts in this forum
You cannot post attachments in this forum

Search for:
Jump to:  

Forum powered by phpBB © 2000, 2002, 2005, 2007 phpBB Group