Possible or Impossible?

The 3D object in the applet below can be rotated by dragging the mouse or, when the Alt key is pressed, moved away or towards the screen.

A strange shape by paper folding

This applet requires Sun's Java VM 2 which your browser may perceive as a popup. Which it is not. If you want to see the applet work, visit Sun's website at https://www.java.com/en/download/index.jsp, download and install Java VM and enjoy the applet. In addition, you'll need the Java3D library available at https://download.java.net/media/java3d/builds/release/1.4.0_01/java3d-1_4_0_01-windows-i586.exe A strange shape by paper folding

What if applet does not run?

Look at it. Is this a physical reality? My 9 year old son knows to make such a curiosity out of a piece of paper. Do you?

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Copyright © 1996-2018 Alexander Bogomolny

Do It Yourself

Start with a square piece of paper. Plain paper will do just fine. A colored piece should have the same color or design on both sides.

Fold the square and crease it along the black line and then make three cuts indicated by the light lines.

make three cuts

It will now appear that there are three linked pieces of paper. Rotate the left one 90° clockwise around the black crease. Rotate the right one 90° counterclockwise and you are done.

Related material

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  • Structural Constellation
  • Scrub Tile Puzzle
  • Nested Subsets

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    Copyright © 1996-2018 Alexander Bogomolny


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