Question 5
A magic crystal is in the shape of a shaded square. On the first day, it grows a white head in the shape of an isosceles right triangle whose hypotenuse is a side of the square, and two shaded ears in the shape of squares each with a leg of the white triangle as a side.
The diagram above shows what it looks like after the first day. On the second day, each ear grows a head and two ears like in the first day. The diagram below shows what it looks like after the second and third day. Note that the new head always grows on the side of the ear opposite to the head of the day before.
The crystal explodes whenever two of its ears touch. After how many days will this happen?
Answer: ______ days
The diagram above shows what it looks like after the first day. On the second day, each ear grows a head and two ears like in the first day. The diagram below shows what it looks like after the second and third day. Note that the new head always grows on the side of the ear opposite to the head of the day before.
The crystal explodes whenever two of its ears touch. After how many days will this happen?
Answer: ______ days