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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.

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What figures have rotational symmetry?

a cube!


Does a cube has a rotational symmetry?

Yes.


What is the rotational symmetry order of a cube?

1,4,2,5,3,6


What fold of symmetry does a cube have?

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.


What is a rotation of symmetry?

Sometimes called rotation symmetry, or symmetry of rotation. If you have an object that can be turned through a certain angle (like rotating a cube through 90o) and then it looks identical, then that object has a certain symmetry under rotation. If you can turn it through any angle, like a cylinder, then it has rotation (or rotational) symmetry.


How many planes of symmetry does a cube have?

there is 9 planes of symmetry in a cube


What are the four properties of a cube?

A cube has four key properties: it has six equal square faces, twelve equal edges, and eight vertices. All internal angles of a cube are right angles (90 degrees). Additionally, the cube exhibits symmetry, with rotational and reflective symmetry across its axes. Lastly, the volume of a cube can be calculated using the formula ( V = s^3 ), where ( s ) is the length of one side.


What 3d shape has 3 planes of symmetry?

A cube has three planes of symmetry.


What axis would a uniform cube have its minimum rotational inertia?

A uniform cube would have its minimum rotational inertia about an axis passing through its center of mass and perpendicular to any face of the cube.


How many ways is it possible to color the faces of a six-sided black cube white (This makes you re-think how you might normally think of a cube.)?

To color the faces of a six-sided cube white, we need to account for the cube's rotational symmetries. A standard cube has 24 rotational symmetries. Since all faces are being painted the same color (white), there is only one distinct way to color the cube, regardless of how many times you rotate it. Therefore, there is only 1 way to color the faces of the cube white.


What are the symmetries of a cube?

From the perspective of a symmetry group, a cube has 48 symmetries total. They include:24 rotational symmetries: the identity6 90° rotations about axes through the centers of opposite faces3 180° rotations about the same axes8 120° rotations about the space diagonals connecting opposite vertices6 180° rotations about axes through the centers of opposite edges24 reflection symmetries that involve one of the above rotations, followed (or, equivalently) preceded by the same reflection


What shape has 6 axes of symmetry?

cube