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Centre symmetry, also known as radial symmetry, is a type of symmetry where the equal distances away from a given centre point create a pattern that is similar in all directions. For example, the spokes on a wheel can be seen as having centre symmetry.

The notion of centre symmetry holds importance in mathematics, art, architecture and many other fields. In mathematics, we often take radial symmetry for proportions in figures. In art, centre symmetry can be used to create a balanced, eye-pleasing composition. And in architecture, centre symmetry can help a structure stay in balance while maintaining strength and beauty.

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At its most basic level, centre symmetry is defined by three or more points that are equidistant from a central point. But the term can also refer to more complex, intricate patterns that have centre symmetry.

In geometry, centre symmetry is especially important because certain shapes and figures can only be pided into equal parts when they have centre symmetry. This is known as “regularity” and is seen in symmetrical figures like circles and squares, whose points are all equal distances from the centre.

This concept is also known as “geometric regularity” in which figures with equal sides and angles are considered symmetrical. This is why many shapes in nature also appear to have centre symmetry, since many plants and animals have shapes that look balanced and symmetrical.

In the natural world, centre symmetry is also seen in shapes such as snowflakes, stars, and sunflowers. These shapes look symmetrical due to their own centre point, which is why they’re all drawn with the same number of parts.

Lastly, centre symmetry can also be found in the work of many great artists, such as painter Piet Mondrian, who was known for his use of strong diagonal lines and geometric shapes.

In conclusion, centre symmetry is a type of symmetry that is all around us in nature and in art, and it’s a concept that has been used since ancient times. It’s a way of creating balance, harmony and beauty in all things, and is an important part of many fields.