Nodes & Tunnels

Question

^{An entry in Fortnightly Topic Challenge #33: Surface Geometry Mazes}

Behold, a tricky maze created on the surface of a cube. There are 'nodes' to collect and tunnels to traverse, are you up to the challenge?

I have unfolded the cube and created a legend to aid your mission, you can also find the rules below! (Click images for a closer look):

Here is the maze in all it's unfolded glory, remember even in this condition it is still a cube!:

Answers should adhere to the above parameters, shown preferably with a nice long scrawl over my original image but feel free to improvise!

There is at least one correct path but as with the nature of such a puzzle other solutions may exist. The first answer given that meets the criteria will be awarded the tick, if it's quite different to my solution I will also share mine as a second answer :)

Extra information for those that like to think out of the box, you can't jump walls, climb, fly, reach that node just over there, squeeze past your old paths, re-use tunnels or become a giant to take the whole maze and all it's nodes in one grab, etc ;)

EDIT: Quick rules clarification as a relative brought it up when attempting the puzzles, use of tunnels is optional. Whether completion is possible without them is another thing!

Good luck and I hope you have fun solving it!

Few we didn't only have one question at the end of the fortnight (and here is 1k, grats! :) ) — Beastly Gerbil, Jul 14 '17 at 15:05
@BeastlyGerbil Thank you, I've been working on the idea for about a week (sadly not as complex as Paramesis' amazing entry https://puzzling.stackexchange.com/questions/53145/every-fourth-wormhole) and finished with a couple of days to spare after triple checking my solution. — BreakingMyself, Jul 14 '17 at 15:18
Very stylish puzzle! Really nice looking. I like your tunnel innovation on the classic maze. — Forklift, Jul 14 '17 at 15:49
I will make a 3D Printable version of the cube maze available (with and without nodes) for anyone that would like a .stl, let me know and I'll upload to Thingiverse. — BreakingMyself, Jul 14 '17 at 15:50
@Forklift Thank you, if this goes well I will have a go at something a bit more complex, multiple cubes (or other shapes) with 'bridges' perhaps? — BreakingMyself, Jul 14 '17 at 15:51
@GarethMcCaughan Wa-ka-wa-ka-wa-ka... (Not to confused with 'wocka-wocka' that's Fozzie Bear lol). — BreakingMyself, Jul 14 '17 at 15:59

score 7 · Accepted Answer · answered Jul 14 '17 at 16:29

7

This seems to work:

Green is the path. Purple is showing how many times we enter each face.

Highly sophisticated method of solution: Trial and error. (I started by filling in things that were forced, then just drew stuff. I ended up with a couple of loops and some bits that wouldn't connect, and fixed things up incrementally.)

answered Jul 14 '17 at 16:29

Gareth McCaughan

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Wow awesome, some sections are just like mine but your overall route is different, quick work well done! :) – BreakingMyself Jul 14 '17 at 16:33

score 0 · Answer 2 · answered Jul 14 '17 at 21:38

0

As promised, here is my solution that was made when designing the maze:

I will probably make another in the near future as it was a fun process. For those wondering I used Fusion360 to make the maze and Clip Studio Paint for the additional details.

For the next maze I would like some suggestions and feedback if possible so please comment below or ping me on the chat.

A bigger cube?
A different shape?
Better layout/decorative details?
Bridges (maybe between multiple shapes)?
More restrictions/rules?
Non-Euclidean shapes?
Don't bother? ;)

answered Jul 14 '17 at 21:38

BreakingMyself

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I like the bridges idea and also maybe a door/key combo where you need one before taking that path? Perhaps one way paths? – Forklift Jul 17 '17 at 19:43
Fantastic ideas. If I use either I will be sure to credit you :) – BreakingMyself Jul 17 '17 at 21:06

Nodes & Tunnels

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