IMC 2008 Q15
15. A designer wishes to use two copies of the logo shown on the right to create a pattern, without any of the dots overlapping. Which one of the following could be made?


Intermediate Mathematical Challenge 2008, Question 15. © UK Mathematics Trust. Original paper on ukmt.org.uk
Answer: A
Notice that a single copy of the logo consists of four dots which lie in a straight line plus two other dots which lie on the perpendicular bisector of this line. These two dots are not evenly spaced above and below the line of four dots. Of the options given, only A has two lines of four dots with two more dots in the correct positions relative to each line.

Solution © UK Mathematics Trust, from the IMC 2008 solutions.