Math and Arithmetic

Geometry

# What is an object from nature that has rotational but not reflectional symmetry?

###### Wiki User

###### September 25, 2012 4:26AM

A snake

## Related Questions

###### Asked in Algebra, Geometry

### What are rotational symmetry?

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.

###### Asked in Math and Arithmetic, Algebra, Geometry

### What type of figure is rotational symmetry?

Rotational symmetry is when you turn or rotate a shape and it
still looks the same. A circle is the most common answer. However,
it you rotate a square about 90 degrees, it still looks the same,
so it is considered rotational symmetry. Technically, any shape can
have rotational symmetry because it you rotate it 360 degrees, it
still looks the same.
Definition of rotational symmetry:
Generally speaking, an object with rotational
symmetry is an object that looks the same after a certain
amount of rotation. An object may have more than one rotational
symmetry; for instance, if reflections or turning it over are not
counted. The degree of rotational symmetry is how many degrees the
shape has to be turned to look the same on a different side or
vertex. It can not be the same side or vertex.
<------- This figure can be rotated 90 degrees and it will
still look the same!!
Example:
Before After 90 degree turn

###### Asked in Math and Arithmetic

### What is rotational symmetry of alphabet?

The rotational symmetry of a plane object is the number of times
it will look exactly like its original shape when you rotate it
through 360 degrees in its plane. A whole alphabet has no
rotational symmetry but some letters in an alphabet may have
rotational symmetry. The number of symmetries depends on the
alphabet, whether the letters are in upper or lower case as well as
the font used.

###### Asked in Geometry

### What does order of rotational symmetry mean?

The order of symmetry of an object is the number of
part-rotations that bring the object to a position that is
identical to its starting position. Note that since all objects
must return to their starting position if rotated through one whole
circle (360 degrees), rotational symmetry of 1 is not counted.

###### Asked in Math and Arithmetic, Algebra, Geometry

### 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.

###### Asked in Math and Arithmetic, Algebra, Geometry

### Why does the last time when you turn a shape for rotational symmetry not count towards the number of times it has rotational symmetry?

It depends on what you mean by "the last time". Your last time
may not be my idea of last time.
The turn that brings the object back to its starting position IS
counted but only if the object has at least one other position of
symmetry. This is to exclude objects that have symmetry of order 1.
These are not regarded as being symmetrical because then every
object would be symmetrical.

###### Asked in Math and Arithmetic

### What does reflectional symmetry mean in math?

It means literally if you reflected the object through the
centre of the image, at a specific angle, in a mirror you would get
the same image on the mirror with that on the other side.
So or example the letter A has one line of reflectional symmetry
because if you put a mirror vertically along it, you would see the
same image on the mirror as the side that you weren't looking
at.

###### Asked in Science, Math and Arithmetic

### How many types of symmetry are there?

There are several types of symmetry:
rotational symmetry: an object maps exactly onto another if
rotated about an axis
translational symmetry: an object maps exactly onto another if
moved along a line
reflective symmetry: an object maps exactly onto another if
reflected along a line
and many combinations of the above, such as helical symmetry
where an object maps exactly onto another if moved along a line and
rotated about an axis.
· Rotoreflection symmetry
· Helical symmetry
· Non-isometric symmetries
· Scale symmetry and fractals

###### Asked in Math and Arithmetic

### What relationship can you find between the the number of lines of symmetry?

The relationship is one of identity. The number of lines of
symmetry for any object, are always identically equal to the number
of lines of symmetry for that same object.
The relationship is one of identity. The number of lines of
symmetry for any object, are always identically equal to the number
of lines of symmetry for that same object.
The relationship is one of identity. The number of lines of
symmetry for any object, are always identically equal to the number
of lines of symmetry for that same object.
The relationship is one of identity. The number of lines of
symmetry for any object, are always identically equal to the number
of lines of symmetry for that same object.