Author Archives: John Sharp

Steps to Morphing tilings

Morphing tilings are sets of tilings which change from one tiling pattern to another. This can happen in many ways: as a related set of tilings which change like an animation as tilings where the change is seen as you … Continue reading

Posted in Uncategorized | 4 Comments

Regular and semi regular tilings

In the following, tiling means covering the plane without leaving any gaps. A regular tiling has regular polygons which are all the same. A semi-regular tiling has a mixture of different regular polygons. Regular tilings You can tile the plane … Continue reading

Posted in Uncategorized | Leave a comment

Sebastien Truchet and his tilings

Great advances in the foundations of modern mathematics were made in the seventeenth and eighteenth centuries. While mathematicians like Pascal, Fermat and Leibnitz were studying the new subject of probability, a Dominican priest named Sebastien Truchet published a work which … Continue reading

Posted in Uncategorized | 1 Comment

New tiles from old

The Cairo tile This is a well known pentagonal tiling, frequently known as the Cairo tiling because it was said to be found paving the streets of Cairo. The tiling is with pentagons, although they are not regular pentagons (see … Continue reading

Posted in Uncategorized | Leave a comment

Morphing Patterns

When you create normal patterns, you place multiple versions of a motif in a regular way. The variety of patterns produced in this way is extraordinary as you can see everyday by looking at textiles, carpets, wallpapers and tiled floors. … Continue reading

Posted in Uncategorized | Leave a comment

Using the Morphing Patterns

The following are a few suggestions for new ways to explore patterns. Morphing patterns are more complex than simply repeating patterns and so offer more possibilities for creativity. Analysing the patterns Everyone sees something different in morphing patterns. As the … Continue reading

Posted in Uncategorized | Leave a comment

Islamic art and tilings

Islamic art, while including representational images, is highly developed as a decorative art. Their design and use of tilings developed into a very sophisticated form of art over thousands of years. The artisans who developed the tilings worked with mathematicians … Continue reading

Posted in Uncategorized | 3 Comments