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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.
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∙ 12y ago
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What type of symmetry does a two fold line have?
It has rotational symmetry of order 2.
What quadrilaterals have n-fold symmetry?
Parallelograms: 2-fold Square: 4-fold n-fold symmetries refer to rotational symmetries. Consequently, any symmetries about axes that these and other quadrilaterals may have are not relevant to this question.
Does every polygon with at least 2 sides of equal length have rotational symmetry?
Yes A right-angled triangle may have 2 equal sides but only exhibits 1-fold rotational symmetry (ie it is not rotationally symmetric). However, I believe that any polygon in which each side is parallel to the opposing side must be at least 2-fold rotationally symmetric (ie it is rotationally symmetric).
What is four fold symmetry?
It means 4 lines of symmetry as for example a square has 4 lines of symmetry
A line has two-fold symmetry.?
Yes, it does.
Why is it 5 fold symmetry not possible?
A regular pentagon or a 5-pointed star have rotational symmetry of order 5.
How many rotational symmetry fold does a line have?
A line has rotational symmetry of order 2.
A line has rotational symmetry?
two-fold
A has two-fold rotational symmetry?
line
What type of symmetry does a two fold line have?
It has rotational symmetry of order 2.
Does marquise have rotational symmetry?
Are you referring to the Marquise Cut in Diamond jewelry? This is in the shape of a pointed oval; it would two-fold rotational symmetry.
What are the degrees of a 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.
Does a clover have rotational symmetry and how?
Yes, because if you take a clover and fold it it will fold evenly like paper.
Why does an octagon have rotational symmetry?
An octagon has eight-fold rotational symmetry, because rotation of octagon by 45 degrees (one-eighth of a full circle) produces a figure that is superimposible on (or congruent to) the original.
Does a paralalagram have symmetry in it?
Yes, a parallelogram has a line of symmetry through its center. This means that if you fold the parallelogram along this line, the two halves will match exactly.
What quadrilaterals have n-fold symmetry?
Parallelograms: 2-fold Square: 4-fold n-fold symmetries refer to rotational symmetries. Consequently, any symmetries about axes that these and other quadrilaterals may have are not relevant to this question.
Why 5-fold rotational symmetry is not possible in cube?
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.
