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Why does a regular pentagon have a 5 fold rotational symmetry?
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.
What type of symmetry does a two fold line have?
It has rotational symmetry of order 2.
A line has two-fold symmetry.?
Yes, it does.
A line has two fold blank symmetry?
Rate
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.
How many different places can a design be rotated and still maintain all of its characteristics when a design has four-fold symmetry?
A design with four-fold symmetry can be rotated 90, 180, or 270 degrees and still maintain all of its characteristics. This means there are three different places it can be rotated while keeping its symmetry.
Why does a regular pentagon have a 5 fold rotational symmetry?
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.
Why five fold symmetry is not possible in crystal?
Five-fold symmetry is not possible in crystals due to the requirement of translational symmetry in three-dimensional space. Crystals are defined by a periodic arrangement of atoms, which necessitates that their symmetry operations lead to a repeating pattern. Five-fold symmetry would create angles that do not allow for a uniform tiling of space, leading to gaps or overlaps, violating the principles of crystallography. Consequently, only symmetries that can be represented by whole-number rotations, such as two-fold, three-fold, four-fold, and six-fold, are permissible in crystalline structures.
Why does a rhombus only have two lines of symmetry?
Because it only has four sides. So it can only have two lines of symmetry because if you fold it the sides will be the same shape.
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.
Why 5-fold rotational symmetry is not possible in cube?
A cube has 3-fold rotational symmetry, meaning it can be rotated by 120 degrees and still look the same. It does not have 5-fold rotational symmetry because the cube's faces are not oriented in a way that allows for that type of symmetry. The angles between the faces do not align with the requirements for 5-fold rotational symmetry.
How many different places can a design be still rotated and still maintain all of its charateristics when a design has four fold symmetry?
4
What type of symmetry does a two fold line have?
It has rotational symmetry of order 2.
A has two-fold rotational symmetry?
line
A line has rotational symmetry?
two-fold
A line has two-fold symmetry.?
Yes, it does.
A line has two fold symmetry?
Yes, it does.
