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Results tagged with dissection
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user 80061
A geometric puzzle where a given figure has to be cut into a number of pieces subject to a number of constraints.
5
votes
1
answer
110
views
Dissect the given shape into 4 congruent pieces each containing 2 circles and 1 square
Warmup question:
Dissect the shape shown below into 4 congruent pieces each containing 2 circles and 1 square.
Clarifications:
The 4 pieces can be rotated and/or reflected versions of each other.
The …
- 21.4k
-1
votes
7
answers
585
views
Dissect this figure into four pieces which can be reassembled to form a square
How can you cut this figure into four (not necessarily identical) pieces which can be reassembled to form a square?
Rotating and flipping the pieces is allowed.
Hole(s) in the final square are allowed …
- 21.4k
15
votes
1
answer
686
views
Minimize the number of pieces in the cube that you build
Consider the following slanted pyramid which is made from 30 unit cubes:
Step 1: Delete any 3 unit cubes. There is no restriction on which unit cubes are deleted. These 3 deleted unit cubes are no …
- 21.4k
11
votes
6
answers
2k
views
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.
Ho …
- 21.4k
13
votes
5
answers
1k
views
Make a square with the fewest number of pieces
Neat shearing:
You have to make one square out of the three squares (2x2, 3x3 and 6x6) as shown in the figure. How can you do this, cutting the squares into the smallest possible number of pieces?
At …
- 21.4k
18
votes
Accepted
Make a square with the fewest number of pieces
Here is a solution where the pieces do not need to be rotated:
- 21.4k
10
votes
2
answers
515
views
Make a square table top with six (or fewer) pieces
A man had three pieces of beautiful wood, measuring 12 inches, 15 inches, and 16 inches square respectively. He wanted to cut these into the fewest pieces possible that would fit together and form a s …
- 21.4k