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Error in the book discovered
At the present time I will not switch between conventions or between definitions. As long, as I am using Jamie Mulhollands book and sage math, I will use their conventions. Pros and cons of the different viewpoints are beyond the topic of this thread and I do not comment them here...- CubeExplorer
- Post #14
- Forum: Puzzle Theory
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A way to visualize permutations given in disjoint cycle notation
I like to see the permutations in 3d like this: A simple sage script makes it possible: cg=CubeGroup() #movseq=cg.parse("F*R*U*R^-1*U^-1*F^-1") #works movseq=cg.parse("U*R2*F*B*R*B2*R*U2*L*B2*R*U^-1*D^-1*R2*F*R^-1*L*B2*U2*F2")#works print("Move sequence example\n",movseq) f=cg.facets(movseq)...- CubeExplorer
- Post #21
- Forum: Software Area
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Cube For Globe
Im interested, in what you have done so far. Comprehensible reports about your work could convince me. Till now I have only seen declarations of intent.- CubeExplorer
- Post #8
- Forum: General Speedcubing Discussion
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A way to visualize permutations given in disjoint cycle notation
A few lines in sage math result in a string, which can be copied and pasted to Kocembas Cube Explorer. The facets will be printed according to the permutation given in disjoint cycles notation. # Singmaster Letters SML=" UUUUUUUULLLLLLLLFFFFFFFFRRRRRRRRBBBBBBBBDDDDDDDD" # Reid String Order...- CubeExplorer
- Post #20
- Forum: Software Area
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[Help Thread] Where To Buy Cubes Thread
I bought from euro-cubes.com. Good communication, quick delivery. I will buy there again.- CubeExplorer
- Post #843
- Forum: Hardware Area
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Error in the book discovered
Some seperate topics appeared in this thread. Jamie Mulholland wrote in in his book: Thats a fact and I do not judge it, when I use the book. I read the sequence of multiplying permutations in his book from left to right. The next one is the behaviour of sage math. cg=CubeGroup()...- CubeExplorer
- Post #12
- Forum: Puzzle Theory
-
A way to visualize permutations given in disjoint cycle notation
Thanks a lot. To my surprise, CE displays the facelet permutations perfetly. I can put them into the Maneuver field and the program recognizes them as different from the rotation sequences. I think this is a big part of a solution to my software search.- CubeExplorer
- Post #18
- Forum: Software Area
-
A way to visualize permutations given in disjoint cycle notation
I dont think so. Commonly "Singmaster notation" seems to refer to turn sequences. At least most of the time. When I played with CE, program reacted accordingly. The result showed, that the input of RU was interpreted as a cw turn of the right face (consisting of 9 cubies) followed by a cw turn...- CubeExplorer
- Post #16
- Forum: Software Area
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A way to visualize permutations given in disjoint cycle notation
Thank you. Cube Explorer lets you paint the facelets by Mouseclick. The Maneuvers like FRUR'U'F' can be entered via keyboard or copy and paste. But Im no expert. I chose my nick without knowing the existence of a program with this name. Currently Im working on the workflow of presenting turn...- CubeExplorer
- Post #14
- Forum: Software Area
-
A way to visualize permutations given in disjoint cycle notation
Most likely it is so. So I will do it probably myself. There are simulators which can paint the facelets on demand, one by one. It would not be too extensive to let sage or something else generate a string, which controls the painting. I just have to decide which of my many tinkering sites have...- CubeExplorer
- Post #12
- Forum: Software Area
-
A way to visualize permutations given in disjoint cycle notation
^---< This describes exactly what one can see watching a cube when applyin "RU" repeatedly. 6 Corners are moving. Corner URF is just rotated at its position by each "RU". This is mathematicly documented by the cycle "(8,25,19)". The other 5 Corners make a round trip during 5 "RU" maneuvers...- CubeExplorer
- Post #10
- Forum: Software Area
-
A way to visualize permutations given in disjoint cycle notation
So you seem to consider the following output of sage as wrong: RU=R*U RU = (1,3,38,43,11,35,27,32,30,17,9,33,48,24,6)(2,5,36,45,21,7,4)(8,25,19)(10,34,26,29,31,28,18) Because thats not really the main topic of my thread, I do not comment or discuss it now. EDIT: I just see the answer of Bruce...- CubeExplorer
- Post #9
- Forum: Software Area
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A way to visualize permutations given in disjoint cycle notation
I do not understand. What exactly does not represent what? Sorry for not being native speaker of english. This image is sages representation of the said permutation. Of which "it" are you talking there? I related to the color scheme to be weird. Just look to the picture sage produces. All...- CubeExplorer
- Post #7
- Forum: Software Area
-
A way to visualize permutations given in disjoint cycle notation
What I mean is visualization of single permutations, one by one, given in disjoint cycle notation. Thats the topic I will stick to here in this thread.- CubeExplorer
- Post #6
- Forum: Software Area
-
Error in the book discovered
When I put the following into sage .... S48 = SymmetricGroup (48) R=S48(" (25 ,27 ,32 ,30)(26 ,29 ,31 ,28)(3 ,38 ,43 ,19)(5 ,36 ,45 ,21)(8 ,33 ,48 ,24) ") L=S48(" (9 ,11 ,16 ,14)(10 ,13 ,15 ,12)(1 ,17 ,41 ,40)(4 ,20 ,44 ,37)(6 ,22 ,46 ,35) ") U=S48(" (1 ,3 ,8 ,6)(2 ,5 ,7 ,4)(9 ,33 ,25 ,17)(10...- CubeExplorer
- Post #8
- Forum: Puzzle Theory
-
A way to visualize permutations given in disjoint cycle notation
Sounds interesting too. I will have a look at it. However I have not yet found a way to conveniently vizualize the permutations given in disjoint cycle notation in 3d. 2d works in sage, but the color schema is weird...- CubeExplorer
- Post #4
- Forum: Software Area
-
Error in the book discovered
Thank you. In sage, the leftmost move is the move applied first. S48 = SymmetricGroup (48) R=S48(" (25 ,27 ,32 ,30)(26 ,29 ,31 ,28)(3 ,38 ,43 ,19)(5 ,36 ,45 ,21)(8 ,33 ,48 ,24) ") L=S48(" (9 ,11 ,16 ,14)(10 ,13 ,15 ,12)(1 ,17 ,41 ,40)(4 ,20 ,44 ,37)(6 ,22 ,46 ,35) ") U=S48(" (1 ,3 ,8 ,6)(2 ,5...- CubeExplorer
- Post #6
- Forum: Puzzle Theory
-
Test Twizzle
Lucas, I appreciate your work and I did not complain. As mentioned above, I just gave feedback. I have no problem at all, because there are programs for simulating cubes and solves working well on my machine.- CubeExplorer
- Post #37
- Forum: Help, support & suggestions
-
Test Twizzle
"Expectation" is not the topic. The subject is feedback regarding programs. So I mentioned facts. Still wondering? So let me explain to you. :) Using other programs on the same machine, the same system running, I see usefull output. :) :) :)- CubeExplorer
- Post #35
- Forum: Help, support & suggestions
-
Test Twizzle
Its irrelevant wether you consider it as "modern". Its a well working machine using a well working system.- CubeExplorer
- Post #32
- Forum: Help, support & suggestions
-
-
-
Error in the book discovered
At the present time I will not switch between conventions or between definitions. As long, as I am using Jamie Mulhollands book and sage math, I will use their conventions. Pros and cons of the different viewpoints are beyond the topic of this thread and I do not comment them here...- CubeExplorer
- Post #14
- Forum: Puzzle Theory
-
A way to visualize permutations given in disjoint cycle notation
I like to see the permutations in 3d like this: A simple sage script makes it possible: cg=CubeGroup() #movseq=cg.parse("F*R*U*R^-1*U^-1*F^-1") #works movseq=cg.parse("U*R2*F*B*R*B2*R*U2*L*B2*R*U^-1*D^-1*R2*F*R^-1*L*B2*U2*F2")#works print("Move sequence example\n",movseq) f=cg.facets(movseq)...- CubeExplorer
- Post #21
- Forum: Software Area
-
Cube For Globe
Im interested, in what you have done so far. Comprehensible reports about your work could convince me. Till now I have only seen declarations of intent.- CubeExplorer
- Post #8
- Forum: General Speedcubing Discussion
-
A way to visualize permutations given in disjoint cycle notation
A few lines in sage math result in a string, which can be copied and pasted to Kocembas Cube Explorer. The facets will be printed according to the permutation given in disjoint cycles notation. # Singmaster Letters SML=" UUUUUUUULLLLLLLLFFFFFFFFRRRRRRRRBBBBBBBBDDDDDDDD" # Reid String Order...- CubeExplorer
- Post #20
- Forum: Software Area
-
[Help Thread] Where To Buy Cubes Thread
I bought from euro-cubes.com. Good communication, quick delivery. I will buy there again.- CubeExplorer
- Post #843
- Forum: Hardware Area
-
Error in the book discovered
Some seperate topics appeared in this thread. Jamie Mulholland wrote in in his book: Thats a fact and I do not judge it, when I use the book. I read the sequence of multiplying permutations in his book from left to right. The next one is the behaviour of sage math. cg=CubeGroup()...- CubeExplorer
- Post #12
- Forum: Puzzle Theory
-
A way to visualize permutations given in disjoint cycle notation
Thanks a lot. To my surprise, CE displays the facelet permutations perfetly. I can put them into the Maneuver field and the program recognizes them as different from the rotation sequences. I think this is a big part of a solution to my software search.- CubeExplorer
- Post #18
- Forum: Software Area
-
A way to visualize permutations given in disjoint cycle notation
I dont think so. Commonly "Singmaster notation" seems to refer to turn sequences. At least most of the time. When I played with CE, program reacted accordingly. The result showed, that the input of RU was interpreted as a cw turn of the right face (consisting of 9 cubies) followed by a cw turn...- CubeExplorer
- Post #16
- Forum: Software Area
-
A way to visualize permutations given in disjoint cycle notation
Thank you. Cube Explorer lets you paint the facelets by Mouseclick. The Maneuvers like FRUR'U'F' can be entered via keyboard or copy and paste. But Im no expert. I chose my nick without knowing the existence of a program with this name. Currently Im working on the workflow of presenting turn...- CubeExplorer
- Post #14
- Forum: Software Area
-
A way to visualize permutations given in disjoint cycle notation
Most likely it is so. So I will do it probably myself. There are simulators which can paint the facelets on demand, one by one. It would not be too extensive to let sage or something else generate a string, which controls the painting. I just have to decide which of my many tinkering sites have...- CubeExplorer
- Post #12
- Forum: Software Area
-
A way to visualize permutations given in disjoint cycle notation
^---< This describes exactly what one can see watching a cube when applyin "RU" repeatedly. 6 Corners are moving. Corner URF is just rotated at its position by each "RU". This is mathematicly documented by the cycle "(8,25,19)". The other 5 Corners make a round trip during 5 "RU" maneuvers...- CubeExplorer
- Post #10
- Forum: Software Area
-
A way to visualize permutations given in disjoint cycle notation
So you seem to consider the following output of sage as wrong: RU=R*U RU = (1,3,38,43,11,35,27,32,30,17,9,33,48,24,6)(2,5,36,45,21,7,4)(8,25,19)(10,34,26,29,31,28,18) Because thats not really the main topic of my thread, I do not comment or discuss it now. EDIT: I just see the answer of Bruce...- CubeExplorer
- Post #9
- Forum: Software Area
-
A way to visualize permutations given in disjoint cycle notation
I do not understand. What exactly does not represent what? Sorry for not being native speaker of english. This image is sages representation of the said permutation. Of which "it" are you talking there? I related to the color scheme to be weird. Just look to the picture sage produces. All...- CubeExplorer
- Post #7
- Forum: Software Area
-
A way to visualize permutations given in disjoint cycle notation
What I mean is visualization of single permutations, one by one, given in disjoint cycle notation. Thats the topic I will stick to here in this thread.- CubeExplorer
- Post #6
- Forum: Software Area
-
Error in the book discovered
When I put the following into sage .... S48 = SymmetricGroup (48) R=S48(" (25 ,27 ,32 ,30)(26 ,29 ,31 ,28)(3 ,38 ,43 ,19)(5 ,36 ,45 ,21)(8 ,33 ,48 ,24) ") L=S48(" (9 ,11 ,16 ,14)(10 ,13 ,15 ,12)(1 ,17 ,41 ,40)(4 ,20 ,44 ,37)(6 ,22 ,46 ,35) ") U=S48(" (1 ,3 ,8 ,6)(2 ,5 ,7 ,4)(9 ,33 ,25 ,17)(10...- CubeExplorer
- Post #8
- Forum: Puzzle Theory
-
A way to visualize permutations given in disjoint cycle notation
Sounds interesting too. I will have a look at it. However I have not yet found a way to conveniently vizualize the permutations given in disjoint cycle notation in 3d. 2d works in sage, but the color schema is weird...- CubeExplorer
- Post #4
- Forum: Software Area
-
Error in the book discovered
Thank you. In sage, the leftmost move is the move applied first. S48 = SymmetricGroup (48) R=S48(" (25 ,27 ,32 ,30)(26 ,29 ,31 ,28)(3 ,38 ,43 ,19)(5 ,36 ,45 ,21)(8 ,33 ,48 ,24) ") L=S48(" (9 ,11 ,16 ,14)(10 ,13 ,15 ,12)(1 ,17 ,41 ,40)(4 ,20 ,44 ,37)(6 ,22 ,46 ,35) ") U=S48(" (1 ,3 ,8 ,6)(2 ,5...- CubeExplorer
- Post #6
- Forum: Puzzle Theory
-
Test Twizzle
Lucas, I appreciate your work and I did not complain. As mentioned above, I just gave feedback. I have no problem at all, because there are programs for simulating cubes and solves working well on my machine.- CubeExplorer
- Post #37
- Forum: Help, support & suggestions
-
Test Twizzle
"Expectation" is not the topic. The subject is feedback regarding programs. So I mentioned facts. Still wondering? So let me explain to you. :) Using other programs on the same machine, the same system running, I see usefull output. :) :) :)- CubeExplorer
- Post #35
- Forum: Help, support & suggestions
-
Test Twizzle
Its irrelevant wether you consider it as "modern". Its a well working machine using a well working system.- CubeExplorer
- Post #32
- Forum: Help, support & suggestions