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http://twistypedia.oskarvandeventer.nl/index.php?title=Fully_scrambled&feed=atom&action=history 2024-04-25T20:31:06Z Revision history for this page on the wiki MediaWiki 1.36.1 http://twistypedia.oskarvandeventer.nl/index.php?title=Fully_scrambled&diff=249&oldid=prev 2018-09-03T14:00:10Z

<p></p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="en"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 14:00, 3 September 2018</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l1">Line 1:</td> <td colspan="2" class="diff-lineno">Line 1:</td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>A puzzle is in a fully-scrambled state if it can no longer be solved if any pair of adjacent pieces is glued together. A puzzle can be fully scrambled if it has at least one fully-scrambled state.</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>A <ins style="font-weight: bold; text-decoration: none;">[[twisty </ins>puzzle<ins style="font-weight: bold; text-decoration: none;">]] </ins>is in a fully-scrambled state if it can no longer be solved if any pair of adjacent pieces is glued together. A puzzle can be fully scrambled if it has at least one fully-scrambled state.</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>The concept of &quot;fully scrambled&quot; was discussed at the [http://twistypuzzles.com/forum/viewtopic.php?f=1&amp;t=33314 Twisty Puzzles Forum]. Quarkboy provided the following [http://twistypuzzles.com/forum/viewtopic.php?p=379447#p379447 more comprehensive definition]: A puzzle is in a fully scrambled state when no pair of adjacent pieces is in the same way adjacent as in a solved state at all times during a sequence of moves that solves the puzzle, for ALL possible sequences of moves that solve the puzzle from this state. Quarkboy also [http://twistypuzzles.com/forum/viewtopic.php?p=379483#p379483 noted] that there are multiple perspectives on the concept of fully scrambled:</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>The concept of &quot;fully scrambled&quot; was discussed at the [http://twistypuzzles.com/forum/viewtopic.php?f=1&amp;t=33314 Twisty Puzzles Forum]. Quarkboy provided the following [http://twistypuzzles.com/forum/viewtopic.php?p=379447#p379447 more comprehensive definition]: A puzzle is in a fully scrambled state when no pair of adjacent pieces is in the same way adjacent as in a solved state at all times during a sequence of moves that solves the puzzle, for ALL possible sequences of moves that solve the puzzle from this state. Quarkboy also [http://twistypuzzles.com/forum/viewtopic.php?p=379483#p379483 noted] that there are multiple perspectives on the concept of fully scrambled:</div></td></tr> </table>

Oskar http://twistypedia.oskarvandeventer.nl/index.php?title=Fully_scrambled&diff=248&oldid=prev 2018-09-03T13:55:16Z

<p>Created page with &quot;A puzzle is in a fully-scrambled state if it can no longer be solved if any pair of adjacent pieces is glued together. A puzzle can be fully scrambled if it has at least one f...&quot;</p> <p><b>New page</b></p><div>A puzzle is in a fully-scrambled state if it can no longer be solved if any pair of adjacent pieces is glued together. A puzzle can be fully scrambled if it has at least one fully-scrambled state.<br /> <br /> The concept of &quot;fully scrambled&quot; was discussed at the [http://twistypuzzles.com/forum/viewtopic.php?f=1&amp;t=33314 Twisty Puzzles Forum]. Quarkboy provided the following [http://twistypuzzles.com/forum/viewtopic.php?p=379447#p379447 more comprehensive definition]: A puzzle is in a fully scrambled state when no pair of adjacent pieces is in the same way adjacent as in a solved state at all times during a sequence of moves that solves the puzzle, for ALL possible sequences of moves that solve the puzzle from this state. Quarkboy also [http://twistypuzzles.com/forum/viewtopic.php?p=379483#p379483 noted] that there are multiple perspectives on the concept of fully scrambled:<br /> # Mechanically / Group Theoretically: The above definition.<br /> # Puzzle-ness-y: Is it in a state such that it takes some thinking to solve it? For example, a puzzle with 2 axis and only 2 moves at any time means there is never any choice in your move, either go forward or backward in the state chain which is a loop. That could be a puzzle which can be &quot;fully scrambled&quot; in the sense of #1 (you can split apart all the pieces), but can you really call it &quot;scrambled&quot; when there is no logic required to return them to the solved position?<br /> # Competition Fairness: Speed solving cubes fairly requires some notion of a sufficiently scrambled cube for fairness based on some measure of how difficult a state is to solve. This would seem to me to be highly puzzle dependent.</div>

Oskar