# What is the order of rotational symmetry of a snowflake?

Table of Contents

## What is the order of rotational symmetry of a snowflake?

In mathematical terms, we say that the snowflakes have rotational symmetry of order 4.

## What is the rotational angle of snowflake with six sides?

As I had folded the paper into 8 layers the final snowflake had 4 symmetrical arms, creating 4-fold rotational symmetry: This four arms of this snowflake were created from paper folded to an angle of 360/8=45 degrees.

## What is the angle of rotation of a six-fold symmetry?

hexagonal system …a single line, called an axis of 6-fold symmetry, about which the cell can be rotated by either 60° or 120° without changing its appearance.

## Does a snowflake have reflection symmetry?

Snowflakes provide wonderful examples of symmetry. Rotational symmetry – You can cut the image in half in more than one direction, and the two halves will appear as mirror images of each other. The object has more than one line of symmetry. Examples: A triangle can be cut along three different axes.

## What is the symmetry of a snowflake?

Although snowflakes are never perfectly symmetrical, the growth of a non-aggregated snowflake often approximates six-fold radial symmetry, arising from the hexagonal crystalline structure of ice. At that stage, the snowflake has the shape of a minute hexagon.

## Which of the following has no symmetry?

Answer: A scalene triangle, a parallelogram and a trapezium do not have any line of symmetry.

## What is the definition for symmetry?

1 : balanced proportions also : beauty of form arising from balanced proportions. 2 : the property of being symmetrical especially : correspondence in size, shape, and relative position of parts on opposite sides of a dividing line or median plane or about a center or axis — compare bilateral symmetry, radial symmetry.

## What are two synonyms for symmetry?

What is another word for symmetry?

balance | harmony |
---|---|

equity | parallelism |

equivalence | congruity |

congruence | form |

equipollence | uniformity |

## What are the synonyms for symmetry?

Synonyms & Antonyms of symmetry

- balance,
- coherence,
- concinnity,
- consonance,
- consonancy,
- harmony,
- orchestration,
- proportion,