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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.
Is it possible for a pentagon to have three lines of symmetry?
No, it can only have 0, 1 or 5 lines of symmetry.
A line has two fold symmetry?
Yes, it does.
How many lines of symmetry do ANGEL have?
The word "ANGEL" has 0 lines of symmetry. In order for a word to have a line of symmetry, it must be the same when folded along that line. When you try to fold the word "ANGEL" along any possible line, it will not match up perfectly on both sides, therefore it has no lines of symmetry.
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 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.
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 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 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.
A shape which has at least 1 line of symmetry?
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.
Is it possible for a pentagon to have three lines of symmetry?
No, it can only have 0, 1 or 5 lines of symmetry.
What is four fold symmetry?
It means 4 lines of symmetry as for example a square has 4 lines of symmetry
What type of symmetry does a two fold line have?
It has rotational symmetry of order 2.
Echinoderms body description?
Echinoderms are a phylum with usually 5 fold symmetry, spines and calcium carbonate plates.
A has two-fold rotational symmetry?
line
A line has rotational symmetry?
two-fold
A line has two-fold symmetry.?
Yes, it does.
