Howdy there, friend! Your friendly neighborhood Pinkie Pie here! Welcome to Sugarcube Corner!
...oh HI! Yup, I've got your usual box of pecan muffins here! 12 bits please! Ta!
Oh...um... before you go...you're not busy are you? You aren't? Oh thank Celestia, you would NOT believe the doozy I've gotten myself into today!
Remember your last birthday? I made that cake for you specially? You do? Good, because I got a custom order in from this pony with a tall top hat, and since you helped with my hourglass sticky situation I figured since you're super-duper smart you could help me sort out the logistics? Because you can't spell 'logistics' without 'logic'! Kind of. I mean, you just stick the 'stic' in there - heh, stick the stic. I like stick. It's a funny word. Stick stick stick stick -
Oh yeah. Weeeeeeell...get this. I'm making this cake. It's made up of twenty-seven slices. All in the shape of a cube, because he wants it sliced for twenty-seven guests. That way you combine it to form one BIG cube. Thing is, I've also got three tubs of frosting: red, purple and green. And he says I need to decorate the cake with frosting in a way that, when you stick 'em together, it forms one big cube that's a solid red, or solid purple, or solid green. He said he wasn't fussed about how the cake could be rearranged, just that he can form a solid red, purple or green cube.
Eh? Well, he's really into puzzles. As in REALLY into puzzles. Couldn't resist leaving this one with me. Said he also wants to amuse the party guests with it.
...no, he didn't leave the design plans with me. That's kind of why I need you. Pleeeeeeeeeease? I'll give you half-price discount on your next box of muffins! And I'll let you share any leftover frosting with me!
You'll do it? Thankyouthankyouthankyou! So what should I do first?
Oh man. Oh man oh man I just found the BEST puzzle but I don't want to upload it yet.
9204236
Imma troll you by solving this one, then.
Let's start by stacking the cake cubes in any old way, and coat the whole outside with red frosting. Great, one color down! Now, let's take all the cubes on the bottom layer and move them to the top layer - no need to spin them around or anything, just move the whole layer as-is. The red top and red bottom got squished together, so the new top and new bottom are free of frosting. Now we just need to do the same thing with the rest of the sides - move the left layer to the right layer, and move the front layer to the back layer - and we have six frosting-free sides of a cake cube. Break out the purple frosting, Pinkie! Once that's all coated, we just need to do the same thing one more time - bottom layer to top, left layer to right, front layer to back. The purple faces get squished together, and the red faces stay squished together, so the only faces left on the outside are ones without any frosting on them. You know what that means! Green frosting time! And voila, viola, violin, cello, the entire string ensemble - your cubes are all frostinged up and ready to go!
Oh, and you miiiiiiight want to ship some extra napkins with this cake. I mean, I'd think someone who wants a cake with frosting on all sides is prepared for a little mess, but you know what they say about assuming!
9204467
Unfortunately, a cube has 6 sides. Your answer leaves 3 sides of every mini-cube-cake uncovered.
The best way would be using each frosting to cover 2 sides of the mini-cube-cakes before arranging them into the big-cube-cake, therefore leaving no part of the cake "unfrosted"
9202138
I think I have the answer
Have Daring walk until the edge of the sigil, then walk backwards in a semicircle witch diameter of 7,5 m. The way she move would force the gremlin to move all the way to the other side of the sigil. Repeat until escape.
9204540
Exactly which sides of any given mini-cube are uncovered? Since the top, middle, and bottom layers
rotateedit: swap positions, each mini-cube is in each layer for one of the frosting steps. The mini-cube's top side gets covered when it is in the top layer, and its bottom side gets covered when it is in the bottom layer. The same applies for the left/middle/right layers and front/middle/back layers, so all six sides get covered. Where are you getting that there are three uncovered sides?Also, your solution actually can't produce any single-color cube, since the corner mini-cubes have to have three sides with the same color frosting, which is impossible if each mini-cube has only two sides of each color.
9204612
Not the answer I have down, but you're right in saying Daring cannot move in a straight line all the time.
9204805
Think of it like paint: once applied it cannot be removed. it would also break the rules of covering a face more than once because it would now have two layers of frosting.
9205111
And how long is it until the inevitable Knights and Knaves?
9205127
Could you please point out an example, in my solution, where frosting is either a) removed or b) applied twice to the same side? My solution is just applying frosting, rearranging the pieces so that sides without frosting are shown, applying frosting to the newly-shown pieces, etc. In my initial post I went over why exactly my method does not apply the frosting to the same side twice. Perhaps my flavor text (no pun intended) obscured what I was getting at?
9205400
Sorry, I didn't read that. thought you were proposing squashing cubes together to combine icing, going lateral.
Pass.
Frost the cakes on opposite sides.
Like so:
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