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

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(#M40158937) KANGAROO MATH Logical Reasoning question triangle puzzle Keep an EYE

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.

Asked In kangaroo math aniqa sul (7 years ago)

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