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.
180 questions
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Find side view and simple 3d [closed]
You need to find a side view of B) nacrt=front view tlocrt=top view. You also need to draw the 3d model. I got this puzzle from my teacher in school.
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If 3-D is too easy, go 4-D
It is a well-known puzzle that one can take a cube and make a single planar cut through it so that the intersection of the cutting plane and the cube is exactly a regular hexagon.
One can do an ...
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What is the maximum number of faces of a cube that you can see at the same time?
First of all this puzzle is not mine. It was asked by a professor at a university class I was attending years ago. For some time now I have been asking my friends this puzzle and only one person got ...
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3D Packing Puzzle: Can 17 Mixed-Size Blocks Fill a Cube?
You are given a cube-shaped box with dimensions 5×5×5. Your task is to determine whether the following blocks can be arranged to fit perfectly inside the box without any gaps or overlaps:
5 blocks of ...
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A three-dimensional triangle centre
A disphenoid is a tetrahedron whose faces are congruent acute triangles. Its opposite sides are the same length and it can be inscribed in a cuboid.
Given an acute triangle, form a disphenoid out of ...
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Are the lines intersecting in 3D?
Consider the following picture of the regular compound of five tetrahedra.
Does the line $CD$ exactly intersect the line of intersection of triangles $A$ and $B$?
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A puzzle for middle school students: cuboid or slice of cake?
A fixed volume of dough can be shaped into either a cuboid, or a slice of cake. Which shape should you choose, in order to minimize the total surface area of the dough?
Remarks:
The cuboid has six ...
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How to solve wooden cross puzzle I found [duplicate]
I found a wooden cross puzzle but I don't know how to solve it.
The pieces I have are 12, 3,4, 20,19,17
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places far away from each other but similar every now and then
What (approximately) is common to Paris, mid Mongolia and mid North Washington state border with Canada, and when was it manifested last time recently? Also, in what (approximately) do these places ...
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How to cut wooden beam into 4 parts that can be reassembled into a cube?
A wooden beam (which is a rectangular parallelepiped) with edges of 8, 8, and 27 inches is to be sawed into 4 parts out of which a cube can be made. Naturally, one should draw first and saw later.
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A (not so) K₁₂ problem
The following map on the torus was devised by Peter Ungar and John Leech.
It has 7 mutually adjacent faces each homeomorphic to a disk. In addition, geometrically the whole map is face-transitive – ...
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What is Scarier than That?
Clues:
Left Side:
Set of 5 groups of spheres.
One of Set 1: 5 yellow spheres arranged in a right angle corner
Three of Set 2 : 3 green spheres arranged in a straight line
One of Set 3: 4 blue spheres ...
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Stacked Nurikabe
My first go at puzzle construction! It's basically Nurikabe, but you have two boards stacked on top of each other, e.g. the first over the second, and the original constraints must still be satisfied ...
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Identical cubes in a sphere
Suppose that you have a sphere of radius 10cm. At most how many cubes of side 1cm can you fit in the sphere such that:
A cube can touch another cube (share a face, an edge or a point) but cannot ...
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Packing 25 three-dimensional N pentominoes into a 5x5x5 cube
The puzzle contains 25 identical pieces that look like this:
To be explicit, the piece is composed of five cubes. In the picture, three cubes form the base, and two cubes form the overhang.
The goal ...
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