Questions tagged [three-dimensional]
This tag is used for geometric puzzles, if one wants to stress that the setting is not 2-dimensional but 3-dimensional.
105
questions
8
votes
1answer
228 views
Nurikabe minicubes: the Boondoggle, the Lollygag, the Dillydally
These are three-dimensional Nurikabe puzzles. In each case, the four squares represent the layers of a $4\times4\times4$ cube. The goal is to shade some cells in each layer so that the resulting space ...
2
votes
1answer
88 views
Icosahedron-Wrapping Monstrosity
The following monstrosity of a shape:
... can be wrapped onto the surface of an icosahedron in a way that completely covers the entire icosahedron with no gaps and no overlaps.
How can it be done?
12
votes
1answer
303 views
Tri-bladed Boomerang vs. Octahedron!
The following tri-bladed boomerang shape:
... can be folded onto the surface of an octahedron in a way that perfectly covers the entire octahedron with no gaps and no overlaps.
How can it be done?
25
votes
1answer
2k views
A Slightly Moth-Eaten Integral Sign
The following slightly moth-eaten integral sign:
... can be folded onto the surface of a cube in a way that perfectly covers the entire cube with no gaps and no overlaps.
How can it be done?
(You ...
14
votes
1answer
312 views
Wrapping a Galaxy Around a Cube
The following galaxy-like shape:
can be folded onto the surface of a cube in a way that perfectly covers the entire cube with no gaps and no overlaps.
How can it be done?
10
votes
1answer
127 views
3D Slitherlink (Slithersurface)
Here is a 5 x 5 x 5 cube filled with numbers.
It's a 3D adaption of standard slitherlink puzzles.
You must create a solid 3D object such that the number in each sub-cube matches the number of adjacent ...
7
votes
1answer
172 views
Cube Tubes & Cube Loops
Given a three dimensional n×n×n cube containing n^3 cubes of 1×1×1,
Define a cube tube to be a sequence of 1×1×1 cubes from the n×n×n cube such that:
1) No cube appears in the sequence more than ...
16
votes
1answer
614 views
A cube build with cuboids
You are given 27 pieces of 1x2x4 cuboids. Is it possible to build a 6x6x6 cube using those 27 cuboids?
8
votes
1answer
148 views
Say “Herru” to Spatial Golf
Have a try with this 3D Herugolf puzzle!
Rules of Herugolf: (Adapted from @Stiv's adaption of Nikoli)
Move (hit) all circles (balls) one or more times, and bring them to a cell with a red ...
11
votes
1answer
288 views
Masyu keep making those 3D puzzles?
This is a three-dimensional Masyu puzzle. The five squares depict the layers of a $5\times5\times5$ cube. The goal is to make a single loop in 3D space which fulfills the following properties:
...
8
votes
1answer
178 views
Nurikabe minicubes: the Headache, the Panache, the Apache
These are three-dimensional Nurikabe puzzles. In each case, the four squares represent the layers of a $4\times4\times4$ cube. The goal is to shade some cells in each layer so that the resulting space ...
0
votes
2answers
114 views
How many pyramids in a cube?
Knowing that a pyramid volume is computed as 1/3 of base multiplied by the height, how many pyramids may be constructed by connecting the corners of a cube to create pyramids with volume 1/3 of the ...
20
votes
1answer
984 views
Isometric Heyacrazy - Now In 3D!
This is a Heyacrazy puzzle on an isometric grid.
Rules of Heyacrazy:
Shade some cells of the grid.
Shaded cells cannot be orthogonally adjacent; unshaded cells must be orthogonally connected.
...
1
vote
1answer
215 views
6
votes
2answers
161 views
Yajilin minicubes: the Poppycock, the Balderdash, the Gobbledygook
These are three-dimensional yajilin puzzles. In each puzzle, the four squares depict the layers of a $4\times4\times4$ cube.
Shade some cells on each layer. The numbered cells show how many ...
13
votes
2answers
878 views
3D cryptic featuring Mao, Stalin and Simba's uncle
This is a three-dimensional cryptic crossword. The eleven squares above represent the layers of a $11\times11\times11$ cube.
Across
21. Tribunal's way to imprison you in the old days (10)
25. ...
12
votes
1answer
158 views
A Cryptic Not-so-mini Cube
A quick teaser, enjoy!
Across
3 Dance bores serious (5)
6 Light angry look (5)
11 Finally asked it to agree (5)
12 Rails - cunning homes of thieves (5)
15 Trap saner design (5)
16 Kingdom with real ...
14
votes
2answers
843 views
Flood on the top floor
There has been a water incident on the top floor of a building, and one apartment has suffered some water damage. As in, a lot of water damage. The entire apartment is filled waist deep with ...
9
votes
2answers
648 views
Yajilin minicubes: the Hullabaloo, the Brouhaha, the Bangarang
These are three-dimensional yajilin puzzles. In each puzzle, the four squares depict the layers of a $4\times4\times4$ cube.
Shade some cells on each layer. The numbered cells show how many ...
8
votes
1answer
306 views
Mixed-breeds are puzzles too!
This is a three-dimensional mixed-breed puzzle. The five squares depict the five layers of a $5\times5\times5$ cube. The goal is to solve the odd-numbered layers as yajilin and even-numbered layers as ...
10
votes
1answer
332 views
Volcanic 3D masyu
This is a three-dimensional masyu puzzle. The six squares depict the layers of a $6\times6\times6$ cube. The goal is to make a single loop in 3D space which fulfills the following properties:
The ...
11
votes
1answer
195 views
3D devilry, DIY edition
This is a diagramless three-dimensional cryptic crossword. Solve the clues and then fit the answers into a three-dimensional grid.
The numbering of the clues starts from the #1 (nearest) layer. On ...
13
votes
2answers
452 views
A cubeful of three-dimensional devilry
This is a three-dimensional cryptic crossword. The seven squares represent the layers of a $7\times7\times7$ cube. The clues are a mix of Printer's Devilry and normal cryptic clues.
Across
13. ...
9
votes
1answer
235 views
A Difficult Rhombicosidodecahedron Slitherlink
This is the evil older brother of this puzzle. I'm posting it more out of scientific curiosity than because it is a fun puzzle, because it is not a fun puzzle. It's just really hard. I wrote a ...
6
votes
1answer
314 views
3D Statue Park: Daggers and dashes
This is a three-dimensional Statue Park puzzle.1 The five squares in the below image depict the five levels of a $5\times5\times5$ cube. The goal is to fit inside it the eight pieces shown in the ...
6
votes
2answers
421 views
3D Statue Park: U shapes
This is a three-dimensional Statue Park puzzle.1 The five squares in the below image depict the five levels of a $4\times4\times5$ cuboid. The goal is to fit inside it the four three-dimensional ...
11
votes
1answer
288 views
Brain-breaking 3D masyu
This is a three-dimensional masyu puzzle.1 The five squares depict the layers of a $5\times5\times5$ cube. The goal is to make a single loop in 3D space which fulfills the following properties:
The ...
12
votes
1answer
212 views
Rhombicosidodecahedron Slitherlink
This is a Slitherlink puzzle, being played on the surface of a 3D object, a Rhombicosidodecahedron. If you are not familiar with Slitherlink puzzles, I don't suggest starting on this one.
Rules in ...
4
votes
1answer
140 views
The revenge of 3D light bulbs
This is a three-dimensional Akari puzzle (also known as Light Up). The five squares represent the layers of a $5\times5\times5$ cube, top to bottom. The objective is to add light bulbs into any number ...
8
votes
6answers
898 views
Inside Out and Back to Front
Here's a quickie:
I own a shirt that has a logo on the chest on my left side. This morning I accidentally put it on inside out and back to front. Where did the logo go?
Please explain your answer ...
6
votes
2answers
232 views
3D Nonogram - Spinoff of the Reboot
This puzzle is inspired by recent 3D nonogram puzzles by Jafe and Omega Krypton. Check those out if you want, but they are not required to understand this puzzle.
This 3D nonogram has clues with two ...
7
votes
2answers
326 views
Nono-cube - Ultimate Puzzle Giant
Prologue - Instructions
Shamelessly copied and pasted the following from @jafe's puzzle :P
This is a three-dimensional nonogram. The first square gives the enumerations for the Z-axis, top to ...
16
votes
1answer
1k views
Cover a cube with four-legged walky-squares!
This is a four-legged walky-square:
This shape has an interesting property: It is possible to map multiple copies of this shape onto the surface of a cube in a way that perfectly covers the entire ...
11
votes
1answer
712 views
Three-dimensional light bulbs
This is a three-dimensional Akari puzzle (also known as Light Up). The six squares represent the layers of a $6\times6\times6$ cube, top to bottom. The objective is to add light bulbs into any number ...
56
votes
2answers
6k views
Can you perfectly wrap a cube with this blocky shape?
The following blocky shape:
can be folded onto the surface of a cube in a way that perfectly covers the entire cube with no gaps and no overlaps.
How can it be done?
7
votes
1answer
239 views
Unfold a right angle pyramid into a square
This puzzle refers to a feature of right angle pyramid:
The relation between the areas of the three perpendicular faces and the diagonal surface area is given as - $S^2_x+S^2_y+S^2_z = S^2_d$
...
4
votes
1answer
131 views
The ultimate conversion of a square into right angle pyramid
This is a follow up of other puzzles. Here a general case of which the other cases are a subset.
Given a square of any size, cut it into four pieces to be reassembled into a right angle pyramid (the ...
12
votes
1answer
221 views
A Pure Crossword Minicube
This puzzle was made as requested by EKons, here.
So, enjoy this three-dimensional realistic sensation!
8
votes
1answer
220 views
Restoring 3D Tetromino Puzzle
You won't believe this. I worked all night to make a new 3D tetromino puzzle, and just as I was about to save the final version there was a power outage! Now I can't remember what the final clues were ...
7
votes
2answers
281 views
A pyramid from a square
Given a square piece of paper. Cut it into 4 pieces that could be used to create a right angle pyramid - the 4 pieces are the faces of the pyramid.
12
votes
1answer
667 views
Reverse dots and… cubes? - Snowflake edition
A Reverse dots-and-boxes puzzle inspired by @jafe
Albert and Robinson are playing a game of reverse dots and boxes.
The players take turns adding one plane in one free spot on the grid (...
6
votes
1answer
260 views
3D tetromino placement
The following image depicts a $5\times5\times5$ cube. Insert any number of the pictured 3D-tetromino pieces into the cube to satisfy the conditions listed below. Pieces may be rotated in any direction....
8
votes
1answer
288 views
3D Chess - Stale NBA (kNight-Bishop Assault)
This is my very first chess puzzle. Any constructive feedback is more than welcome. Thanks!
Introducing 3D Chess!
To make things simple for the first time, we are using a $3\times3\times3$ ...
7
votes
1answer
234 views
3D nonogram – The one-thousander
This is a three-dimensional nonogram. The first ten squares depict the layers of a $10\times10\times10$ cube. The final square gives the enumerations for the Z-axis, top to bottom. Some rules:
If a ...
10
votes
1answer
410 views
3D nonogram – What's in the box?
This is a three-dimensional nonogram. The first six squares depict the layers of a $6\times6\times6$ cube. The final square gives the enumerations for the Z-axis, top to bottom. Some rules:
The grid ...
10
votes
1answer
616 views
3D nonogram – What's going on?
This is a three-dimensional nonogram. The first six squares depict the layers of a $6\times6\times6$ cube. The final square gives the enumerations for the Z-axis, top to bottom. Some rules:
The grid ...
23
votes
1answer
694 views
How can this fractal shape perfectly cover a certain platonic solid?
The following fractal shape has a surprising property:
This two-dimensional shape can be folded onto the surface of a regular polyhedron (one of the five platonic solids) in a way that perfectly ...
7
votes
1answer
208 views
Nono-Cube: Approach at Your Own Risk
Inspired by jafe's 3D nonograms :)
Answer is one word.
This puzzle is a part of Ooohh, it all makes sense now! :D
4
votes
3answers
202 views
Missing informations for the architect
An architect wants to plan the creation of a house, but he has only two perspectives, one from the left and one from the front.
The house consists of concrete cubes. All concrete cubes must be ...
15
votes
2answers
991 views
3D nonogram – Name the object
This is a 3D nonogram. The first five boxes represent the five layers of a $5\times5\times5$ cube, and the last box shows the enumerations for the Z-axis. (Note that 11 means two stretches of length ...
