Rubrics Cube of Doom

A forum for good logic/math puzzles.

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jewish_scientist
Posts: 1022
Joined: Fri Feb 07, 2014 3:15 pm UTC

Rubrics Cube of Doom

I plan on painting over the squares of a rubrics cube and drawing a curve across the surface, then giving it to one of my friends who can solve a rubrics cube. I was wondering just how the people here would do this. I am designing the pattern of the drawing on a net of a rubrics cube, so your solutions must be in that form. Try to make your own curve that scores higher than mine under the following criteria. Right now my curve scores 8 points. I'll post it after I see how a few other people do, because I do not want my solution to influence yours. Each property is worth one point unless otherwise noted and a property can be earned more than once.

-Curve makes a U-turn (-1 point)
-Square is not entered (-1 point)
-Curve is not self-intersecting
-Curve is a cycle
-Curve is a Hamilton path
-Beginning/ end of the curve is in a center square
-Beginning and end of the curve are on opposite center squares
-Curve is a Hamilton cycle
-Has only one solve state following the rules of how a rubrics cube works (awarded until proven otherwise)
-Every piece is unique excluding the center pieces
-If every piece except the centers are removed, then cube is not rotationally symmetrical
"You are not running off with Cow-Skull Man Dracula Skeletor!"
-Socrates

Peaceful Whale
Posts: 165
Joined: Sun Jul 16, 2017 10:38 pm UTC
Location: Northern Virginia

Re: Rubrics Cube of Doom

I would call that a devil cube. If you make this it would be used as a torture device.
My meta for future reference
Spoiler:
cemper93 wrote:Your meta appears to be "just writes whatever is on his mind and doesn't remember what happened more than five hours ago"

jaap
Posts: 2091
Joined: Fri Jul 06, 2007 7:06 am UTC
Contact:

Re: Rubrics Cube of Doom

jewish_scientist wrote:I plan on painting over the squares of a rubrics cube

It's called a Rubik's Cube, named after its inventor Ernö Rubik.

Such maze cubes have been designed before. The standard maze cube design was made by Christoph Lohe, and he explains the reasoning behind it here: The Maze Cube
You can buy sticker sets for the maze cube here or here.

jewish_scientist
Posts: 1022
Joined: Fri Feb 07, 2014 3:15 pm UTC

Re: Rubrics Cube of Doom

I have literally spent over a month working on this, and you casually post a link to the answer...

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u17r6 msqw3kluy rtik23

e4s6.wuh263
.gvbjktyrjng42
"You are not running off with Cow-Skull Man Dracula Skeletor!"
-Socrates