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.

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7
votes
1answer
131 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 ...
15
votes
1answer
596 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?
0
votes
0answers
180 views

Help identifying and solving this puzzle

I got this puzzle from a friend working in the 3D printing industry. There is an outer cube which is supposed to be filled in with all the other pieces. I have been trying to solve it for quite a ...
8
votes
1answer
132 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
272 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
169 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
109 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
971 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
213 views

Cut a cube into 5 objects

Cut a cube into 5 3D objects with 6 edges each. Hint:
6
votes
2answers
153 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
869 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
156 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
834 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
637 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
297 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
321 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
191 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
450 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
225 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
311 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
415 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
271 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
200 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
131 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
893 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
209 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
313 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
706 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
228 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
129 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
219 views

A Pure Crossword Minicube

This puzzle was made as requested by EKons, here. So, enjoy this three-dimensional realistic sensation!
8
votes
1answer
215 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
280 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
664 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
252 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
283 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
229 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
385 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
585 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
617 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
203 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
982 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 ...
22
votes
1answer
645 views

3D nonogram, beginner's edition

Trying out the concept of 3D nonograms. This one should be pretty simple. Name the depicted object.
12
votes
3answers
711 views

3D Crossword, Cryptic, Statue View & Maze

The following image depicts the layers of a $5\times5\times5$ cube. Using 3-dimensional thinking, can you find the way out of the cube? Empty version with no crossword numbers Empty version ...
11
votes
1answer
504 views

Is this 3d Sudoku possible?

I was looking at images of 3d Sudoku's on Bing, because I was looking for a $9\times9\times9$ Sudoku, where each horizontal, vertical left-right and vertical top-bottom plane was also a Sudoku. ...
17
votes
1answer
1k views

Can you cover a cube with copies of this shape?

The following 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 cube with no gaps and no ...
110
votes
1answer
7k views

How can this shape perfectly cover a cube?

The following 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 this be done?