Doors Puzzle

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Visit all 64 board positions. Rotating doors complicate the task.
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Contributed by: Karl Scherer (March 2014)
Open content licensed under CC BY-NC-SA
Snapshots
Details
The board contains many circular pivotal centers of revolving doors that have up to four doors attached to each of them.
If the Man bumps into a door, all doors attached to the pivot rotate by 90 degrees, either clockwise or anticlockwise, depending on how the door was pushed. Therefore, the board setup is continually redesigned with each move.
Wherever the Man goes, the tiny green dots at his position disappear. You win if you have captured all green dots on the board. The number of remaining dots (unvisited board positions) is shown at the left border.
You lose if you are stalemated.
Click the box by "go back" to undo the last move.
Check the box by "reset" to start again with the same setup.
Randomized Setup
Challenge 4 shows a randomized setup.
If you would like a different random setup, select one of the challenges 1, 2, or 3 first and then select challenge 4 again.
History
This game was originally published as the Zillions game "Doors" by the same author.
Permanent Citation
"Doors Puzzle"
http://demonstrations.wolfram.com/DoorsPuzzle/
Wolfram Demonstrations Project
Published: March 26 2014