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Results tagged with geometry
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user 16717
A puzzle related to shapes, geometric objects (polygons, circles, solids, etc.) of any number of dimensions, the relative position of figures, and the properties of space. Use with [mathematics]
8
votes
Rectangle in a Triangle
Any such arrangement may be rotated to have the adjoining edge at the base (as pictured in the question).
Say that the rectangle is $n$ high and $m$ wide and the large triangle is $p$ high and $q$ w …
- 21.3k
2
votes
Reassembling the Marquetry
Since what I have so far is in a comment I'll post my derivation of it
Firstly, the pieces fit together to form a regular octagon, leaving no empty space inside the octagon nor any overlap of multipl …
- 21.3k
53
votes
5
votes
Side length of square inside a triangle
A slightly different proof (which doesn't start with knowledge of the hypotenuse):
Yielding an answer to the specific question posed of
- 21.3k
16
votes
Hexagonal minesweeper
Here is another possible solution, with a first stage that is necessary:
- 21.3k
35
votes
Accepted
How many cubes can we fit in?
The answer is
Because
I do hope the explanation and pictures suffice with no real need for a geometrical argument, because I'm not sure I can give a rigorous proof.
This solution was found by …
- 21.3k
3
votes
Discrete Peaceful Encampments: Player 4 has entered the game!
While I feel it could be, this may not be optimal. However it is, at least, an upper bound...
I first note that it must be possible with:
Like so (the green shading shows the locations under att …
- 21.3k