I am trying to find shapes with $7$ lines of symmetry. Regular $7$-gon(Heptagon) has this property. but can you give example of other shapes with $7$ lines of symmetry? (I know I can draw an small circle on every vertices of the Heptagon and still have the symmetry lines but I want to see other examples)
Asked
Active
Viewed 147 times
2
-
1https://en.wikipedia.org/wiki/Heptagram – player3236 Jan 21 '21 at 14:27
-
1This will let you draw as many as you like, per Hume2's answer (under "symmetries", click "rosette", set "Nrot" to 7 and "Nref" to 0, and draw away). – user3482749 Jan 21 '21 at 15:07
-
@user3482749 Wow ! this is very amazing! – Etemon Jan 21 '21 at 15:10
1 Answers
3
Here you have a shape with 7 axes of symmetry. The axes of symmetry always have to be arranged in this shape. Now you can obtain any shape with 7 axes of symmetry by a simple algorithm:
- Draw anything you want into one of the segments. I painted a triangle (marked by red colour).
- Paste the same thing into the other segments. (marked by light blue)
You can also do the same thing using two mirrors. Bend two mirrors together in angle $\frac{360}{14}$ degrees and then put them on a paper. Draw anything on the paper and the thing you see in the mirrors will have 7 axes of symmetry.

Hume2
- 2,264