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How to Draw an Impossible Triangle

How to Draw an Impossible Triangle

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The “rule of three”, where arrangements of triplets have a pleasing effect on the eye, makes this triangle an intriguing shape to ponder and to create. It appears frequently in the art of MC Escher. It is also known as a Penrose triangle or tribar.

[edit] Steps

Method 1

  1. Sketch an equilateral triangle. This will be the center of your triangle.
    Image:Z_impossibletriangle01.jpg
  2. Lightly sketch two parallel lines outside one side of the triangle. The lines should be equally spaced. Take caution that your lines are drawn straight.
  3. Do this for each of the other two sides. Your sketch should look like three triangles nested together.
    Image:Z_impossibletriangle02.jpg
  4. Choose one side of the “center” triangle. Extend one end of that straight line until it reaches the “middle” triangle.
  5. Find the same side of the “middle” triangle. Extend one end of that straight line, in the same direction as before, until it reaches the “outside” triangle.
    Image:Z_impossibletriangle03.jpg
  6. Repeat steps for the other two sides of the triangle.
    Image:Z_impossibletriangle04.jpg
  7. Erase short segments so that the triangle begins to look three-dimensional rather than flat. Each edge of this “3-D” shape should look like a reverse “L”.
    Image:Z_impossibletriangle05.jpg
  8. Add short segments at an angle in the corners. These short segments will finish off the outside points.
    Image:Z_impossibletriangle06.jpg
  9. Cleanup your drawing by erasing the points outside of the short segments drawn in the previous step.
  10. Add shading if desired.
    Image:Z_impossibletriangle07.jpg

Method 2

  1. Draw a triangle and extend the ends of the lines past where they join.

  2. Draw lines from these tips, extending them beyond the corners of the inner triangle.
  3. Draw in the ‘corners’.
  4. Draw in the final long lines to connect the corners.

[edit] Tips

  • After you learn this basic optical illusion, you can experiment with more complex arrangements.

[edit] Related wikiHows

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