# Streamlined version of the solutions posted here on 22 September 2021

Submitted by Peter Tchamitch on Thu, 11/11/2021 - 10:29.

It should probably have been stated more clearly in my previous post here on 22 September 2021

that all the proposed sequences and algorithms (in the presentation that was linked to in that post)

are designed to solve the WTX and SSX** starting from a situation where one of the 12 solutions of

the WT/SS portion of the cube is already in place and the remaining task is to move on from there

to the other solutions in order to find the unique solution of the 12 which also results in the

characteristic ”valleys” of the WTX/SSX being solved (there is of course a 1/12 chance that the

starting solution just happens to be the right one) ** Please note the link at the bottom of the page

linked to in the 22 September post that goes to the initial presentation (with picture) of these custom

hybrid cubes

If you´re holding a WTX or SSX in front of you in the most natural manner, with a pyramid

pointing towards you, and with your right thumb on the lower left face of that pyramid (most people

are right-handed), the simplest ”skewb-move” (i.e. not a rotation of the whole cube) from there

would be to turn the skewb a 1/3 turn to the upper right: this move is designated below by ”S+”; the

reverse of that, a 1/3 turn to the lower left, is designated by ”S-”

The other moves used below are: a ¼ turn to the left or right respectively of the whole cube around

the vertical axis is represented by ”CVL” and ”CVR”; the sequences ”A” and ”B” are exactly the

same sequences as shown at the far upper left of the presentation linked to in my previous post here

on 22 September; ”CLonL” = a ¼ turn to the left of the whole cube around the longitudinal axis,

”CLatAway” = a ¼ turn away of the whole cube around the lateral axis, and finally ”CV180” = a

180 degree turn of the whole cube around the vertical axis

Now let´s say you´re holding a WTX or SSX in front of you in the most natural manner described

above and you observe that all the ”outer slopes” of the three valleys surrounding the Upper Right

Front corner of the skewb are the same color; and let´s say that you further observe that if the URF

corner of the skewb were to be rotated anti-clockwise a 1/3 turn ”on its own” the diamond-shaped

stickers on the URF corner would line up/coincide with the small triangles underneath the URF

corner, then the application of the sequence shown below will result in a completely solved

WTX/SSX

S+ > CVL > B > CVL > S+

CVL > S- > CVL > S- > B

A > CVR > A > CLonL > CLatAway

A > CV180 > 2xA > CV180 > A

This sequence of instructions consists of 36 (one-third) S-turns and 11 (one-quarter) C-turns, for a

total of 47 turns, and takes about 25 seconds to execute at a non-rushed pace (and in any case it´s

definitely not recommended to rush or cut corners with the WTX or SSX!)

In the event that the configuration described above (with the ”outer slopes” of the three valleys

surrounding the URF corner of the skewb all being of the same color) is nowhere to be found no

matter how one orientates the cube, then it will be necessary to execute the 47-turn sequence of

instructions one more time, from any direction, after which the configuration will certainly appear

Since there is a 3/12 chance that the 47-turn sequence will have to be repeated (please refer to the

link in the 22 September post), an 8/12 chance that one 47-turn sequence will suffice, and a 1/12

chance that the WTX/SSX will be completely solved from the outset, and since the 47-turn

sequence takes about 25 seconds to execute, over a very large number of solves one might expect

on average to solve the WTX/SSX in about 29 seconds and 55 turns, once the WT/SS portion of the

cube has first been solved

that all the proposed sequences and algorithms (in the presentation that was linked to in that post)

are designed to solve the WTX and SSX** starting from a situation where one of the 12 solutions of

the WT/SS portion of the cube is already in place and the remaining task is to move on from there

to the other solutions in order to find the unique solution of the 12 which also results in the

characteristic ”valleys” of the WTX/SSX being solved (there is of course a 1/12 chance that the

starting solution just happens to be the right one) ** Please note the link at the bottom of the page

linked to in the 22 September post that goes to the initial presentation (with picture) of these custom

hybrid cubes

If you´re holding a WTX or SSX in front of you in the most natural manner, with a pyramid

pointing towards you, and with your right thumb on the lower left face of that pyramid (most people

are right-handed), the simplest ”skewb-move” (i.e. not a rotation of the whole cube) from there

would be to turn the skewb a 1/3 turn to the upper right: this move is designated below by ”S+”; the

reverse of that, a 1/3 turn to the lower left, is designated by ”S-”

The other moves used below are: a ¼ turn to the left or right respectively of the whole cube around

the vertical axis is represented by ”CVL” and ”CVR”; the sequences ”A” and ”B” are exactly the

same sequences as shown at the far upper left of the presentation linked to in my previous post here

on 22 September; ”CLonL” = a ¼ turn to the left of the whole cube around the longitudinal axis,

”CLatAway” = a ¼ turn away of the whole cube around the lateral axis, and finally ”CV180” = a

180 degree turn of the whole cube around the vertical axis

Now let´s say you´re holding a WTX or SSX in front of you in the most natural manner described

above and you observe that all the ”outer slopes” of the three valleys surrounding the Upper Right

Front corner of the skewb are the same color; and let´s say that you further observe that if the URF

corner of the skewb were to be rotated anti-clockwise a 1/3 turn ”on its own” the diamond-shaped

stickers on the URF corner would line up/coincide with the small triangles underneath the URF

corner, then the application of the sequence shown below will result in a completely solved

WTX/SSX

S+ > CVL > B > CVL > S+

CVL > S- > CVL > S- > B

A > CVR > A > CLonL > CLatAway

A > CV180 > 2xA > CV180 > A

This sequence of instructions consists of 36 (one-third) S-turns and 11 (one-quarter) C-turns, for a

total of 47 turns, and takes about 25 seconds to execute at a non-rushed pace (and in any case it´s

definitely not recommended to rush or cut corners with the WTX or SSX!)

In the event that the configuration described above (with the ”outer slopes” of the three valleys

surrounding the URF corner of the skewb all being of the same color) is nowhere to be found no

matter how one orientates the cube, then it will be necessary to execute the 47-turn sequence of

instructions one more time, from any direction, after which the configuration will certainly appear

Since there is a 3/12 chance that the 47-turn sequence will have to be repeated (please refer to the

link in the 22 September post), an 8/12 chance that one 47-turn sequence will suffice, and a 1/12

chance that the WTX/SSX will be completely solved from the outset, and since the 47-turn

sequence takes about 25 seconds to execute, over a very large number of solves one might expect

on average to solve the WTX/SSX in about 29 seconds and 55 turns, once the WT/SS portion of the

cube has first been solved