All Questions
Tagged with mathematics geometry
612
questions
4
votes
2
answers
569
views
11 trees in 6 rows with 4 trees in each row
How can 11 trees be planted in a garden, such that there are 6 rows that each contain exactly 4 trees?
A row consists of some number of trees in a straight line. The same tree can be part of multiple ...
- 12.5k
17
votes
2
answers
630
views
In a circular tray of radius 1, arrange coins of radius 1/2, 1/3, 1/4, 1/5 so that none of them can move independently
In a circular tray of radius $1$, arrange coins of radius $\frac12,\frac13,\frac14,\frac15$ - at least one of each, and no other kind of coin - so that none of them can move independently, i.e. if any ...
- 273
19
votes
2
answers
2k
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What is the maximum number of fish possible in your tank?
You want to put some fish in a square tank. But these fish fight whenever they are in the same tank. Sadly, you have only 1 tank, but you can put glass panes inside the tank to divide it, not ...
- 193
21
votes
2
answers
649
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3³+4³+5³=6³ Puzzle
A classic puzzle asks us to break a 6x6x6 cube into the smallest number of pieces which can be reassembled into 3 physically separate cubes of sizes 3, 4, & 5.
3³+4³+5³ =27+64+125 =216 =6³
An 8-...
- 211
5
votes
3
answers
273
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Make a Venn diagram with five triangles
A Venn diagram consists of a set of partially overlapping shapes on a plane, arranged in a particular way: for any particular labelling of each of the shapes as "inside" or "outside&...
- 2,094
19
votes
2
answers
807
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Need some help with my math homework (pretty please?)
Can someone help with a problem from my math textbook? This is the problem I'm stuck on:
I don't really get how these kinds of problems work. I think they want me to find the width of the rectangle? ...
- 19.6k
2
votes
1
answer
146
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ORIGAMI: Above and beyond
It's been a long time since I've posted an origami puzzle!
An origami puzzle is solved with some thickness $x$ iff it can be folded into a rectangle (possibly a square) with thickness $x$ everywhere.
...
- 3,185
3
votes
1
answer
258
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origami SNY t28
It's been a long time since I've posted an origami puzzle!
Fold the shape into a rectangle such that the rectangle is 28 layers thick everywhere. The purple part is the puzzle.
Although solutions are ...
- 3,185
1
vote
0
answers
189
views
Deadlock possible in Minefield?
A deadlock is a position in which neither player has won and neither player has a legal placement available. My question is, "Can you find a deadlock position in Minefield?" And, if you ...
- 335
-4
votes
2
answers
395
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Two digits in one
Here is a digit:
However, it is, at the same time, another digit.
How can it be?
- 1,153
4
votes
2
answers
291
views
origami J-SHAPED t2
It's been a long time since I've posted an origami puzzle!
Fold the shape into a rectangle such that the rectangle is 2 layers thick everywhere. The red part is not included in the puzzle; the purple ...
- 3,185
14
votes
5
answers
1k
views
Geometry Puzzle: Tangent Circles with Integer Radii
Take as a semi-related example a series of circles with radii 10, 9, 8, ..., 2, 1. Place the first (largest) circle in the center and subsequent circles around it, keeping tangency between subsequent ...
- 163
9
votes
3
answers
573
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ORIGAMI PUZZLES completed version
You may have seen some posts by Sunny Lu here on my origami puzzles. Now, the full version is out!
The goal is to fold the paper into a rectangle (or square) with
constant thickness (see examples), ...
- 405
9
votes
3
answers
1k
views
Tiling a 16x16 square with 1x4 rectangles
Consider a 16x16 square subdivided by grid lines into unit squares. It is easy to completely tile (no overlaps, no gaps) this square with 64 1x4 rectangles. Each 1x4 rectangle in the tiling (no ...
- 12.5k
9
votes
2
answers
1k
views
Can you tile a 15x16 rectangle using eight rectangles whose sizes are 1x2, 2x3, 3x4, ... 8x9?
Can you tile a 15x16 rectangle using eight rectangles whose sizes are 1x2, 2x3, 3x4, ... 8x9?
No two rectangles can be the same size.
- 12.5k