Since stars are normally spherical objects, they have rotational symmetry of infinite order.
A regular pentagon or a 5-pointed star have rotational symmetry of order 5.
Rotational symmetry is determining whether a shape has symmetry when it is rotated from the center. For example: if you have a star fish, it does have rotational symmetry because you can rotate the star fish 5 times and their still be symmetry. If the object has rotational symmetry, you then can determine the percentage and order of the ratational symmetry. The percentage is how much out of 100% the object is rotated to find symmetry. The order is how many times it is to be rotated before the object has returned to its origiinal position. Take the star fish example. It can be rotated 5 times (each turn having symmatry). The percentage of rotation would be 20%, and the order would be 5.
It need not have any, but can have as many as the number of points on the start.
Corundum crystals belong to the ditrigonal-scalenohedral class of the trigonal symmetry D63d - R 3-C(L33L23PC) with symmetry elements: • Mirror-turn axis of the sixth order (ternary inversion axis) • Three axes of the second order normal to it • Three symmetry planes normal to the axes of the second order and intercrossing along the axis of the highest order • Symmetry center
Since stars are normally spherical objects, they have rotational symmetry of infinite order.
6 i think.....
Six.
It can do - of order 7.
A regular pentagon or a 5-pointed star have rotational symmetry of order 5.
Rotational symmetry is determining whether a shape has symmetry when it is rotated from the center. For example: if you have a star fish, it does have rotational symmetry because you can rotate the star fish 5 times and their still be symmetry. If the object has rotational symmetry, you then can determine the percentage and order of the ratational symmetry. The percentage is how much out of 100% the object is rotated to find symmetry. The order is how many times it is to be rotated before the object has returned to its origiinal position. Take the star fish example. It can be rotated 5 times (each turn having symmatry). The percentage of rotation would be 20%, and the order would be 5.
It can have 1, 2, 3 or 6.
It need not have any, but can have as many as the number of points on the start.
Corundum crystals belong to the ditrigonal-scalenohedral class of the trigonal symmetry D63d - R 3-C(L33L23PC) with symmetry elements: • Mirror-turn axis of the sixth order (ternary inversion axis) • Three axes of the second order normal to it • Three symmetry planes normal to the axes of the second order and intercrossing along the axis of the highest order • Symmetry center
the same as normal symmetry
When a shape is rotated about its centre, if it comes to rest in a position and looks exactly like the original, then it has rotational symmetry. A shape like an equilateral triangle would therefore have an order of rotational symmetry of 3. The general rule for a regular polygon (shapes such as pentagons, heptagons, octagons etc. is, that the number of sides is the same as the number of lines of symmetry, which is also the same as the rotational symmetry order). This means that a regular hexagon has 6 sides, 6 lines of symmetry and an order of rotational symmetry of 6. Following from this, then a square, which is a regular polygon, has 4 sides, 4 lines of symmetry and an order of rotational symmetry of 4. If a shape has rotational symmetry, it must have either line symmetry or point symmetry or both. For example, a five pointed star has 5 lines of symmetry and rotational symmetry of order 5, but does not have point symmetry. A parallelogram has no line of symmetry, but has rotational symmetry of order 2 and also point symmetry. Only a shape which has line symmetry or point symmetry can have rotational symmetry. When there is point symmetry and also rotational symmetry, the order of the latter is even. For example, the letter 'S' has rotational symmetry of order 2, the regular hexagon of order 6. On this basis, we would suggest that the letter 'F' does not have a rotational symmetry order as it does not have either line symmetry or point symmetry. It doesn't have a centre around which you could rotate it. Sounds weird, but given the definitions, we think this is the case.
if it is a reg. star, yes it does!:)