Symmetric Sunflower

Geometry Level 1

The above picture shows a beautiful example of fractal flame which is a type of fractal art . The image is aptly titled "Sunflower Glory."

How many axes of symmetry are present in the image "Sunflower Glory"?


Image Credit
0 4 6 12 18 24 None of the above

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1 solution

Pranshu Gaba
Aug 26, 2015

Solution 1 There are 12 petals in this sunflower. There will be 6 6 axes passing through two opposite petals and 6 6 more axes passing from between the petals. Thus there are a total of 12 12 axes of symmetry.

Solution 2 The number of axes of symmetry in this sunflower is equal to the number of axes of symmetry of 12 12 sided regular polygon. As discussed in the "Recognizing Symmetry" section of Symmetry , an n n -sided regular polygon has n n axes of symmetry.

Solution 3 We can also count the number of axes of symmetry by drawing all of them. We see that there are 12 \boxed{12} axes of symmetry.

Fair enough!..:)

Yuki Kuriyama - 5 years, 9 months ago

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