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A regular pentagon or a 5-pointed star have rotational symmetry of order 5.

Q: Why is it 5 fold symmetry not possible?

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No, it can only have 0, 1 or 5 lines of symmetry.

Yes, it does.

Yes, because if you take a clover and fold it it will fold evenly like paper.

At most 5, since all symmetry lines must pass by a vertex. It has 5 if and only if the pentagon is regular.

Fold (or pretend to fold) an object in half in different ways, and if the edges and corners match exactly up to each other, that is a line of symmetry. If you want to count all the lines of symmetry, use the method above but tally the amount of lines of symmetry you count.

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Becuase 5-fold, 7-fold, 8-fold or any other higher-fold crystal's structure (shape) is based on the geometric arrangement of atoms, so can not completely fill the space.

This is a little bit like asking why a square has four sides. A regular pentagon is defined in such a way as to require that it has 5-fold rotational symmetry.

A two-fold symmetry has a 360 degrees rotation. A three-fold rotational symmetry, on the other hand, has 120 degrees, and on a horizontal axis, a symmetry has 180 degrees.

Symmetry is a shape, object or drawing that on both sides are exactly the same! So a square, rectangle, circle, diamond, and more.When you draw something like a square cut it out and see how many times you can fold it. If you can fold it one time that fold represents a line of symmetry! A heart ❤️ has one line of symmetry. If you can not fold it with equal parts on both sides then it does not have a line of symmetry.

It has rotational symmetry of order 2.

It means 4 lines of symmetry as for example a square has 4 lines of symmetry

No, it can only have 0, 1 or 5 lines of symmetry.

two-fold

Yes, it does.

line

Yes, it does.

Echinoderms are a phylum with usually 5 fold symmetry, spines and calcium carbonate plates.