Solve the Puzzle: Draw 4 Identical Shapes from a Square

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    Puzzle Shapes
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Discussion Overview

The discussion revolves around a puzzle that involves drawing a square, dividing it into four identical squares, removing one square, and then dividing the remaining shape into four identical shapes. The scope includes problem-solving and mathematical reasoning related to geometry.

Discussion Character

  • Exploratory
  • Mathematical reasoning
  • Debate/contested

Main Points Raised

  • Suppie initiates the discussion by asking for solutions to the puzzle involving the division of a square.
  • d1ff shares a solution in the form of an image, but access issues arise for some participants.
  • Redbelly98 reports an inability to view the attached image due to forum permissions, suggesting it may be a technical issue with the forum itself.
  • A later reply from an unnamed participant describes a method involving labeling squares and connecting midpoints, but expresses uncertainty about the correctness of their approach.
  • DaveE comments on the image access issue, providing a workaround by suggesting logging out or using a different browser to view the attachment.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the solution to the puzzle, and there are multiple approaches and unresolved technical issues regarding image access.

Contextual Notes

There are limitations regarding the clarity of the proposed solutions, as some participants express uncertainty about their methods and the technical difficulties hinder access to visual aids that may clarify the discussion.

suprabhu
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Hi all,

Can anyone let me how the following puzzle can be solved :

draw a square. divide it into four identical squares. remove the bottom left hand square. now divide the resulting shape into four identical shapes

Thanks,
Suppie
 
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Hi. I've attached my solution. I spent a few hours drawing the square. :biggrin:
 

Attachments

  • square.gif
    square.gif
    2 KB · Views: 984
When I click to open d1ff's square.gif file, I get this puzzling message:

-----

Redbelly98, you do not have permission to access this page. This could be due to one of several reasons:

1. Your user account may not have sufficient privileges to access this page. Are you trying to edit someone else's post, access administrative features or some other privileged system?
2. If you are trying to post, the administrator may have disabled your account, or it may be awaiting activation.
 
So do I. I think I did something wrong. I'll just describe it:

Label the squares A, B, and C. The center point of A is cA, B is cB, and c is cC. Clockwise, starting at the top, name each side of each square: A1, A2, A3, A4, etc. Note A2 = B4, B3 = C1. Call the midpoint of each side mA1, mA2, etc. The center point is the point common to all three squares. Then, connect the dots:

mA3 + cA + cB (through mB4 = mA2) + cC (through mB3 = mC1) + mC4 + center point + mA3 again

Now erase the bottom half of A2 and the left part of B3 --> this is the shape you need. If you have divided the original square into 4 squares and kept those lines, then you should have the puzzle solved.
 
There's nothing wrong with the image, there's something wrong with this particular forum. For some reason, the Brain Teaser forum will NOT allow you to view attached files as long as you're logged in. Log out, and you can see it just fine. Or, if you have a separate browser, you can view it with that-- I typically run Firefox, so I just launch MSIE to view images, where I'm not logged in already.

This has been reported a few times, but so far it seems either nothing can be done to fix the problem, or it's a little to complicated to warrant fixing.

DaveE
 

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