Unicursal Maze Research

asterion.neocities.org

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2025-12-15. No new latest completed path today.
2025-12-14. 65,000+ views! Thank you very much!
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2025-12-14. Updated latest completed path on index page. There is a new blog post.
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daliwali's avatar daliwali 1 week ago

have you looked at my Depth-First Search approach to generating unicursal mazes? one can pick any start/end point, and block any grid coordinate. i quickly noticed that there were no solutions to certain combinations. do you know about the Hamiltonian path problem?

asterion's avatar asterion 1 week ago

@daliwali - I will look at your approach further. Concerning certain combinations with no solutions, there are two possibilities: You are using an odd number of points and incorrectly set the start and/or end point OR you are using an even # of points and incorrectly set the end point.

benny1548132's avatar benny1548132 1 week ago

seated at the bar, a few stools away: "i'll have whatever they're having"

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asterion's avatar asterion 1 week ago

To clarify an earlier comment, with an odd # of points, there are only certain places where you can place a start point with the end point always needing to an end on an odd # when counting from the start point. With an even # of points, you can place the start point anywhere but the end point must end on an even # when counting from the start point.

2025-12-13. Updated latest completed path on index page.
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2025-12-12. Updated latest completed path on index page.
2025-12-11. Updated latest completed path on index page.
2025-12-10. No new latest completed path today.
2025-12-09. No new latest completed path today.
2025-12-08. Updated latest completed path on index page. I love all of my Unicursal Mazes equally (who wouldn't?), but today's latest determined maze just has a certain aesthetic to it...
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