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The type of symmetry found in the central patterns is known as cyclical 8 denoting the type of translation, cycles and the amount of transformations, 8 this means that each sector can be rotated around the center point and be identical when rotated (360/8)º which is equivilent to 45º
Additionally the sectors of the cyclical patterns contain reflectional symmetry across their midpoints spaning from the center outwards
What is this?
You may be asking yourself the meaning behind this pattern, or maybe where it came from, well the purpose of this page is to answer those questions.
Next the answer to its meaning is more subjective and complicated however this page will hopefully explain as much as possible through the info bubbles found elsewhere on this page, to interact with a piece of the tilework simply click on one of the tooltips.
To first answer where this is from this is a section of wall found in the old spanish citadel known as the alhambra, a palace and fortress that balences beauty and displays of skill and power through crafts.
The border of this patern displays multiple kinds of symmetry:
First lines of horizontal reflectional symmetry, which means that both pieces of a patern on either side of the line of symmetry would be identical if they were flipped over the horizontal line.
However there are also lines of vertical symmetry meaning the opposite if you flip the patterns across a vertical line they are identical
Click the arrows to reveal the symmetry
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Nico Munichiello
Created on May 28, 2026
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Transcript
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The type of symmetry found in the central patterns is known as cyclical 8 denoting the type of translation, cycles and the amount of transformations, 8 this means that each sector can be rotated around the center point and be identical when rotated (360/8)º which is equivilent to 45º
Additionally the sectors of the cyclical patterns contain reflectional symmetry across their midpoints spaning from the center outwards
What is this?
You may be asking yourself the meaning behind this pattern, or maybe where it came from, well the purpose of this page is to answer those questions.
Next the answer to its meaning is more subjective and complicated however this page will hopefully explain as much as possible through the info bubbles found elsewhere on this page, to interact with a piece of the tilework simply click on one of the tooltips.
To first answer where this is from this is a section of wall found in the old spanish citadel known as the alhambra, a palace and fortress that balences beauty and displays of skill and power through crafts.
The border of this patern displays multiple kinds of symmetry:
First lines of horizontal reflectional symmetry, which means that both pieces of a patern on either side of the line of symmetry would be identical if they were flipped over the horizontal line.
However there are also lines of vertical symmetry meaning the opposite if you flip the patterns across a vertical line they are identical
Click the arrows to reveal the symmetry