Weihnachtsmann rot

Challenge from 5. December

Mondrian

The weekend challenges can be solved without wasting points until Monday 11:59:59pm (CET). For more information see the rules of the game.

Enjoy the puzzle!

Author: Hennie ter Morsche

Project: 4TU.AMI

Challenge:

Mondrian the painter pixy has designed a square Christmas card, which he has divided into 64 little square cells, as shown in the picture. Mondrian dips the paintbrush into the red paint pot and draws a long continuous brushstroke that traverses each of the 64 square cells exactly once and that returns to the starting cell in the end.

The picture shows a red brushstroke that traverses 48 cells in a straight line and 16 cells in quarter circles. Since a quarter circle consumes less paint than a straight line, Mondrian would like to find an efficient brushstroke that maximizes the number of quarter circles.

What is the largest possible number M of quarter circles in such a brushstroke?

Artwork: Julia Nurit Schönnagel

PDF download

Possible answers:

  1. The largest possible number of quarter circles is M=42.

  2. The largest possible number of quarter circles is M=44.

  3. The largest possible number of quarter circles is M=46.

  4. The largest possible number of quarter circles is M=48.

  5. The largest possible number of quarter circles is M=50.

  6. The largest possible number of quarter circles is M=52.

  7. The largest possible number of quarter circles is M=54.

  8. The largest possible number of quarter circles is M=56.

  9. The largest possible number of quarter circles is M=58.

  10. The largest possible number of quarter circles is M=60.

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