Latest kangaroo math Aptitude Question SOLUTION: An equilateral triangle starts in a given position and is moved to new positions in a
sequence of steps. At each step it is rotated about its centre, first by 3◦
, then by a furt
An equilateral triangle starts in a given position and is moved to new positions in a
sequence of steps. At each step it is rotated about its centre, first by 3◦
, then by a further 9◦
,
then by a further 27◦
, and so on (at the n-th step it is rotated by a further (3n
)
◦
). How many
different positions, including the initial position, will the triangle occupy? Two positions are
considered equal if the triangle covers the same part of the plane.
As a toddler when I looked at my fingers and wondered,
you helped me to count numbers.
As a kid when I looked at stars with awe,
you helped me and told that's infinity.
As a teen when my confused mind often went blank,
you told that's zero and eventually
vinotha
The wonder is not that mathematics describes the world so well but that it describes it at all.