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A cube has multiple folds of symmetry, specifically 9 planes of symmetry. These planes can be categorized into three types: three planes that cut through the centers of opposite faces, three planes that cut through the midpoints of opposite edges, and three planes that cut through the vertices. Additionally, a cube has rotational symmetry of order 24, allowing it to be rotated in various ways while maintaining its appearance.

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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 planes of symmetry does a cube have?

there is 9 planes of symmetry in a cube


How many ways can you fold a cube?

There are 11 ways to fold a cube, or 11 nets of a cube.


How do you fold a cube?

you fold it where the dotted line is


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 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.


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.


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.