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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4
votes
1answer
62 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
331 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 ...
5
votes
2answers
108 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
222 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 ...
15
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
634 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 ...
51
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?
5
votes
0answers
133 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 - $S^2_x+S^2_y+S^2_z = S^2_d$ ...
3
votes
0answers
61 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 ...
10
votes
1answer
145 views

Pure 3D Crossword

This puzzle was made as requested by EKons, here. So, enjoy this three-dimensional realistic sensation!
6
votes
1answer
167 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
251 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
632 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
185 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
263 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 $3\times3\times3$ ...
6
votes
1answer
164 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
291 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
454 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 ...
22
votes
1answer
566 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
175 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
181 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 ...
14
votes
1answer
868 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 ...
21
votes
1answer
582 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
638 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 ...
10
votes
1answer
247 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. ...
15
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 ...
98
votes
1answer
7k views
+200

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?
9
votes
2answers
1k views

Create a cube from identical 3D objects

The diagram is the outline of the surface of a 3D object. Several objects, like the one created from this given surface, may be used to create a cube. Let me know if you need more clarifications to ...
0
votes
1answer
105 views

what 3D shape can be used to make any 3D shape when combined With itself? [closed]

Looking to create a puzzle / representation of any 3D shape using smaller 3D shape. Is there some sort of shape / ultimate 3D shape that can make any other 3D shape. Like a pyramid or sphere or cube ...
7
votes
2answers
273 views

Unknown 5-pieces cube puzzle - help recognize

I have strange 5-pieces cube puzzle which I can't solve for a long time. I don't know name of the puzzle and can't google it. I'm not sure that there are all pieces. Can you help to recognize it? ...
13
votes
2answers
584 views

3D Masyu - A Die

Fold this net into a cube and solve this 3D Masyu. The original Masyu rules apply. In addition, question mark '?' should be replaced by either a black or white circle. Side note: Yeah, it's almost ...
13
votes
4answers
600 views

Color the cubes, then assemble them to form a larger cube

Goal: Paint 27 cubes using three colors (for example, red, yellow, and blue), so that you can form a 3x3x3 cube with all surfaces in red (for example), a 3x3x3 cube all in yellow, and a 3x3x3 cube all ...
8
votes
2answers
202 views

What is the largest number of cubes that can be cut?

Consider a cube made up of 27 unit cubes. If you consider a plane going through the middle of the larger cube it cuts through a number of the unit cubes. The number of cubes that are cut depends on ...
7
votes
1answer
155 views

6 piece mystery puzzle help!

So I have NO CLUE how to put this back together. I don't even remember what it looks like or what it's even called. I took it apart 3 years ago and it's still driving me crazy. Anyone have any ideas?!?...
18
votes
2answers
2k views

Maximal-volume cube net from unit square paper

Given a square piece of paper (say 1x1), what is the largest cube net you can cut out of it? ('largest' meaning with maximal volume; 'net' meaning it's possible to fold into a cube (somehow)) This ...
6
votes
1answer
434 views

Six-piece, two-tone wooden puzzle

We've had this puzzle for ages and I can't find a solution anywhere. I have vague memories of it being a cross but can't be sure. I've searched everywhere online and in the house for a solution, can ...
8
votes
3answers
872 views

How many $2 \times 2 \times 1$ blocks can you put in a $3 \times 3 \times 3$ cube?

How many $2 \times 2 \times 1$ blocks can you put in a $3 \times 3 \times 3$ cube? And what is the way to put them? Of course the blocks can't overlap. I just remembered this nice simple ...
2
votes
1answer
263 views

Wooden Snake Puzzle - logic behind solution

I refer to the wooden snake puzzle in this post: Wooden Snake Puzzle I notice that there are 6 solutions to the 4x4x4 snake, which start respectively as follows: FRB… (↗→↙…, which is also the ...
7
votes
3answers
455 views

Laser Beams in Helsinki Skies

(The first two chapters are just for flavour, you can safely skip to the TL;DR near the end.) This puzzle in situated Helsinki for a reason: for the city's "200 years as capital" celebration, the ...
27
votes
1answer
862 views

You go wherever you go today

A conclusion to my entries in the Fortnightly Topic Challenge #32: Grid Deduction Hybrids. This metapuzzle incorporates the three previous puzzles in this series: Desert Irrigation Project I am an ...
5
votes
2answers
391 views

Improve my 3D puzzle

3D View of one solutions http://autode.sk/2Dg4FWx I designed a 4x4x4 soma cube in AutoCad and then built it with wood cubes. There are twelve pentacubes and one tetracubes. Each piece is unique and ...
6
votes
4answers
294 views

Knight's Tour on a cube surface

You are doing a knight's tour, but this time, it's on the surface of a cube with chessboard faces. If you move to a square on the same face you started, everything works just like on a normal ...
20
votes
1answer
656 views

These alien safes have no end

Well, I could solve the last safe, but what did it buy me? Just another instant-teleport and boom... here I am again! In a single room with very few things around me, most notably a safe, and no ...
4
votes
2answers
368 views

How many cubes are crossed by the diagonal (if HCF is not 1)?

There is a big cube of dimension 110 * 154 * 385 made up of smaller 1 * 1 * 1 dimension cubes. A body (main) diagonal is drawn. How many smaller 1 * 1 * 1 cubes will it cut?
48
votes
2answers
5k views

Six pyramids in a cube

This question is from the German mathematics competition Känguru der Mathematik. In this competition students have to solve 30 mathematical tasks like this in 90 minutes without calculator. Actually ...
28
votes
8answers
3k views

A hungry ant on a matchbox

A hungry ant is standing on the top of an empty matchbox cover (without its drawer) and has detected the smell of a drop of honey on the floor of the cover as shown in the figure below. What is the ...
10
votes
2answers
921 views

Wooden Snake Puzzle

I have a wooden snake puzzle in my collection that has been unsolved for years. I wondered if any of you might be interested. I have fiddled with it, but think it might need dynamic programming or ...
36
votes
4answers
2k views

Sometimes force is the solution [RTFM]

This time we are investigating a well secured safe. Simply breaking it is not possible (I've tried). We need to find the right combination! Can you help me open it? Along with the ...
26
votes
3answers
2k views

Stonehenge - the true purpose

During the last year I've been working on solving the mystery behind these funny stones in Wiltshire, England. Now I'd like to have you join in on the fun and hope you enjoy discovering the true ...
4
votes
1answer
208 views

Engineering drawing put to some good use

In engineering, objects/machine parts are often expressed using orthogonal projection, in which line drawings are created for their front/side/top views as seen from planes that rest 90° ...