Two designs are overlaid: one has 6-fold rotational symmetry (it repeats every 60°) and the other 4-fold (it repeats every 90°). What is the smallest angle of rotation, in degrees, after which the combined design looks the same?

Question

Accepted Answer

180. A 6-fold pattern repeats every 60°; a 4-fold pattern repeats every 90°. The combined design repeats at the LCM of 60 and 90, which is 180°.

Two designs are overlaid: one has 6-fold rotational symmetry (it repeats every 60°) and the other 4-fold (it repeats every 90°).
What is the smallest angle of rotation, in degrees, after which the combined design looks the same?

Step-by-Step Solution

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More Class 7 Rotational Symmetry practice

Two designs are overlaid: one has 6-fold rotational symmetry (it repeats every 60°) and the other 4-fold (it repeats every 90°).What is the smallest angle of rotation, in degrees, after which the combined design looks the same?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 7 Rotational Symmetry practice

Two designs are overlaid: one has 6-fold rotational symmetry (it repeats every 60°) and the other 4-fold (it repeats every 90°).
What is the smallest angle of rotation, in degrees, after which the combined design looks the same?