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Connect the dots, red to red, green to green and blue to blue. Question

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Draw 3 lines, not necessarily straight, connecting the dots and satisfying all the following conditions:

  • No line may touch or intersect another line.
  • Every line must be completely inside the circle.
  • One line connects a red dot to the other red dot.
  • One line connects a green dot to the other green dot.
  • One line connects a blue dot to the other blue dot.

Circle with 6 dots.  For complete details see text description in post.


Text description for those who can’t see the above image:

Circle with six dots, two of which are red, two are green and two are blue.

One red dot is on the circumference of the circle slightly to the left of the top of the circle while the other red dot is directly below it and is slightly above the bottom of the circle.

One green dot is on the circumference of the circle slightly to the right of the bottom of the circle while the other green dot is directly above it and is slightly below the top of the circle.

One blue dot is on the left middle side of the circumference of the circle while the other blue dot is on the right middle side of the circumference of the circle.

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2 answers

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Spoiler

The blue line loops under the central red dot and over the central green dot, allowing the red and green lines to connect directly.

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Key insight

The insight that allowed me to solve the puzzle is that with the two blue circles both on the boundary, a circuitous path would be needed to connect them.

Solution

Please pardon my messy freehand curves.

red and green connected by straighish lines; blue path curves around the inner red and green circles on the other sides

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