9 added 5 characters in body
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RURDRURDRDLDRDLDLDLULDLLLLLLLLLLLLLLLLURRRRRRRRRRRRRRURDRURDRDLDRDLDLDLULDLLLLLLLLLLLLLLLLURRRRRRRRRRRRRR - Mario takes an unconventional route... and puts himself in peril.

ULLDRDDDRUUU ULLDRDDDRUUL ULLDRDDDRUUR ULLDRDDDRUUD RURDRURDRDLDRDLDLDLULDLLLLLLLLLLLLLLLLURRRRRRRRRRRRRRRURDRURDRDLDRDLDLDLULDLLLLLLLLLLLLLLLLURRRRRRRRRRRRRRR RURDRURDRDLDRDLDLDLULDLLLLLLLLLLLLLLLLURRRRRRRRRRRRRURURDRURDRDLDRDLDLDLULDLLLLLLLLLLLLLLLLURRRRRRRRRRRRRRU RURDRURDRDLDRDLDLDLULDLLLLLLLLLLLLLLLLURRRRRRRRRRRRRLRURDRURDRDLDRDLDLDLULDLLLLLLLLLLLLLLLLURRRRRRRRRRRRRRL RURDRURDRDLDRDLDLDLULDLLLLLLLLLLLLLLLLURRRRRRRRRRRRRDRURDRURDRDLDRDLDLDLULDLLLLLLLLLLLLLLLLURRRRRRRRRRRRRRD

RURDRURDRDLDRDLDLDLULDLLLLLLLLLLLLLLLLURRRRRRRRRRRRR - Mario takes an unconventional route... and puts himself in peril.

ULLDRDDDRUUU ULLDRDDDRUUL ULLDRDDDRUUR ULLDRDDDRUUD RURDRURDRDLDRDLDLDLULDLLLLLLLLLLLLLLLLURRRRRRRRRRRRRR RURDRURDRDLDRDLDLDLULDLLLLLLLLLLLLLLLLURRRRRRRRRRRRRU RURDRURDRDLDRDLDLDLULDLLLLLLLLLLLLLLLLURRRRRRRRRRRRRL RURDRURDRDLDRDLDLDLULDLLLLLLLLLLLLLLLLURRRRRRRRRRRRRD

RURDRURDRDLDRDLDLDLULDLLLLLLLLLLLLLLLLURRRRRRRRRRRRRR - Mario takes an unconventional route... and puts himself in peril.

ULLDRDDDRUUU ULLDRDDDRUUL ULLDRDDDRUUR ULLDRDDDRUUD RURDRURDRDLDRDLDLDLULDLLLLLLLLLLLLLLLLURRRRRRRRRRRRRRR RURDRURDRDLDRDLDLDLULDLLLLLLLLLLLLLLLLURRRRRRRRRRRRRRU RURDRURDRDLDRDLDLDLULDLLLLLLLLLLLLLLLLURRRRRRRRRRRRRRL RURDRURDRDLDRDLDLDLULDLLLLLLLLLLLLLLLLURRRRRRRRRRRRRRD

8 deleted 6 characters in body
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Mario, having realizedrealizing the peril he wasis in, wasis left with no choice.

Finally, copy aany test case from "Mario crosses every tile exactly once" and change or add one step at random. Mario should fall. (If you add a step to the end, Mario falls to grab the Power Star!)

Mario, having realized the peril he was in, was left with no choice.

Finally, copy a test case from "Mario crosses every tile exactly once" and change or add one step at random. Mario should fall. (If you add a step to the end, Mario falls to grab the Power Star!)

Mario, realizing the peril he is in, is left with no choice.

Finally, copy any test case from "Mario crosses every tile exactly once" and change or add one step at random. Mario should fall. (If you add a step to the end, Mario falls to grab the Power Star!)

7 edited title
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                Top 2x2 face
   <- clockwise           anticlockwise ->
   -   ■    -    ■    -    ■    -    ■   -
     /   \     /   \     /   \     /   \  
   ■       ■ ■       ■ ■       ■ ■       ■
   ■       ■ ■       ■ ■       ■ ■       ■
   ■       ■ ■       ■ ■       ■ ■       ■
   ■ ■ ■ ■ ■ ■ ■ ■ ■ ■ ■ ■ ■ ■ ■ ■ ■ ■ ■ ■    Left and right
   ■ ■ ■ ■ ■ ■ ■ ■ ■ ■ M ■ ■ ■ ■ ■ ■ ■ ■ ■    edges wrap around.
   ■       ■ ■       ■ ■       ■ ■       ■
   ■       ■ ■       ■ ■       ■ ■       ■
   ■       ■ ■       ■ ■       ■ ■       ■
     \   /     \   /     \   /     \   /  
   -   ■    -    ■    -    ■    -    ■   -
   <- anticlockwise           clockwise ->
               Bottom 2x2 face

So according to this diagram, UUUUURRRR might look like this:

   -   ■    -    ■    -    □    -    ■   -
     /   \     /   \     /   \     /   \  
   ■       ■ ■       ■ □       □ ■       ■
   ■       ■ ■       ■ □       □ ■       ■
   ■       ■ ■       ■ □       □ ■       ■
   ■ ■ ■ ■ ■ ■ ■ ■ ■ ■ □ ■ ■ ■ M ■ ■ ■ ■ ■
   ■ ■ ■ ■ ■ ■ ■ ■ ■ ■ □ ■ ■ ■ ■ ■ ■ ■ ■ ■
   ■       ■ ■       ■ ■       ■ ■       ■
   ■       ■ ■       ■ ■       ■ ■       ■
   ■       ■ ■       ■ ■       ■ ■       ■
     \   /     \   /     \   /     \   /  
   -   ■    -    ■    -    ■    -    ■   -

And UUUUUUUUULURRRRRR might look like this:

   -   ■    -    ■    -    □    -    □   -
     /   \     /   \     /   \     /   \  
   ■       ■ ■       ■ □       ■ ■       □
   ■       ■ ■       ■ □       ■ ■       □
-> □       ■ ■       ■ □       ■ ■       □ ->
<- □ ■ ■ ■ ■ ■ ■ ■ ■ ■ □ ■ ■ ■ M □ □ □ □ □ <-
   ■ ■ ■ ■ ■ ■ ■ ■ ■ ■ □ ■ ■ ■ ■ ■ ■ ■ ■ ■
   ■       ■ ■       ■ ■       ■ ■       ■
   ■       ■ ■       ■ ■       ■ ■       ■
   ■       ■ ■       ■ ■       ■ ■       ■
     \   /     \   /     \   /     \   /  
   -   ■    -    ■    -    ■    -    ■   -

DDDLUUUDDDDDLUUUUU - Mario walks across a bridge and back.

               Top 2x2 face
  <- clockwise           anticlockwise ->
  -   ■    -    ■    -    ■    -    ■   -
    /   \     /   \     /   \     /   \  
  ■       ■ ■       ■ ■       ■ ■       ■
  ■       ■ ■       ■ ■       ■ ■       ■
  ■       ■ ■       ■ ■       ■ ■       ■
  ■ ■ ■ ■ ■ ■ ■ ■ ■ ■ ■ ■ ■ ■ ■ ■ ■ ■ ■ ■    Left and right
  ■ ■ ■ ■ ■ ■ ■ ■ ■ ■ M ■ ■ ■ ■ ■ ■ ■ ■ ■    edges wrap around.
  ■       ■ ■       ■ ■       ■ ■       ■
  ■       ■ ■       ■ ■       ■ ■       ■
  ■       ■ ■       ■ ■       ■ ■       ■
    \   /     \   /     \   /     \   /  
  -   ■    -    ■    -    ■    -    ■   -
  <- anticlockwise           clockwise ->
              Bottom 2x2 face

DDDLUUU - Mario walks across a bridge and back.

                Top 2x2 face
   <- clockwise           anticlockwise ->
   -   ■    -    ■    -    ■    -    ■   -
     /   \     /   \     /   \     /   \  
   ■       ■ ■       ■ ■       ■ ■       ■
   ■       ■ ■       ■ ■       ■ ■       ■
   ■       ■ ■       ■ ■       ■ ■       ■
   ■ ■ ■ ■ ■ ■ ■ ■ ■ ■ ■ ■ ■ ■ ■ ■ ■ ■ ■ ■    Left and right
   ■ ■ ■ ■ ■ ■ ■ ■ ■ ■ M ■ ■ ■ ■ ■ ■ ■ ■ ■    edges wrap around.
   ■       ■ ■       ■ ■       ■ ■       ■
   ■       ■ ■       ■ ■       ■ ■       ■
   ■       ■ ■       ■ ■       ■ ■       ■
     \   /     \   /     \   /     \   /  
   -   ■    -    ■    -    ■    -    ■   -
   <- anticlockwise           clockwise ->
               Bottom 2x2 face

So according to this diagram, UUUUURRRR might look like this:

   -   ■    -    ■    -    □    -    ■   -
     /   \     /   \     /   \     /   \  
   ■       ■ ■       ■ □       □ ■       ■
   ■       ■ ■       ■ □       □ ■       ■
   ■       ■ ■       ■ □       □ ■       ■
   ■ ■ ■ ■ ■ ■ ■ ■ ■ ■ □ ■ ■ ■ M ■ ■ ■ ■ ■
   ■ ■ ■ ■ ■ ■ ■ ■ ■ ■ □ ■ ■ ■ ■ ■ ■ ■ ■ ■
   ■       ■ ■       ■ ■       ■ ■       ■
   ■       ■ ■       ■ ■       ■ ■       ■
   ■       ■ ■       ■ ■       ■ ■       ■
     \   /     \   /     \   /     \   /  
   -   ■    -    ■    -    ■    -    ■   -

And UUUUUUUUULURRRRRR might look like this:

   -   ■    -    ■    -    □    -    □   -
     /   \     /   \     /   \     /   \  
   ■       ■ ■       ■ □       ■ ■       □
   ■       ■ ■       ■ □       ■ ■       □
-> □       ■ ■       ■ □       ■ ■       □ ->
<- □ ■ ■ ■ ■ ■ ■ ■ ■ ■ □ ■ ■ ■ M □ □ □ □ □ <-
   ■ ■ ■ ■ ■ ■ ■ ■ ■ ■ □ ■ ■ ■ ■ ■ ■ ■ ■ ■
   ■       ■ ■       ■ ■       ■ ■       ■
   ■       ■ ■       ■ ■       ■ ■       ■
   ■       ■ ■       ■ ■       ■ ■       ■
     \   /     \   /     \   /     \   /  
   -   ■    -    ■    -    ■    -    ■   -

DDDDDLUUUUU - Mario walks across a bridge and back.

6 edited title
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5 added 769 characters in body
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4 added 774 characters in body
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3 added 759 characters in body
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    Tweeted twitter.com/StackCodeGolf/status/892890030972301313
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