Tessellations of David Bailey

M.C. Escher was the first, who used figures of birds, fishes, lizards and other animals for artistic regular plane division. Many followers then created numerous tessellation images.

One of them is artist from England David Bailey. He creates his images in pen and watercolour.

The main motifs of his tessellations are birds.


The more complex constructions come in, when two distinct motifs are used in conjunction with each other.



Besides usual animals David Bailey uses imaginary creatures to create his wonderful artworks. Below you can see dinosaur-like creatures. The main distinguishing feature of this drawing is that only part of the image was used for animals, when other space shows only borders of elementary tiles. It helps to better understand, which kind of symmetry was used in every case.

Also he created several artworks, which reminds Escher's artworks with mutable tessellations like Metamorphoses. The image below shows the same process as in Escher's lithograph Development I. But David Bailey used birds as motif for his artwork instead of Escher's lizards.

The reverse process is shown in the image below.
More images by David Bailey you see at his personal site http://www.tess-elation.co.uk/. Besides this you you read some articles about tessellation art and Escher's artworks.

Tessellations by Daniel Wyllie

Daniel Wyllie creates wonderful tessellations, which got First prize in Tess Contest 2006 and Grand prize in Tess Contest 2007. His tesselations are designed in classic Escher style with animals, faces a other artistic figures as main characters.

Grand prize in Tess Contest 2007

Coworkers

Last Laugh

Mad dog

First prize in Tess Contest 2006

Faces In a Flower

Stork And Cougar

Tesselation World of Makoto Nakamura

Who said that there's no masters of tessellation art after Escher? Just look on artworks by Japanese artist Makoto Nakamura. Pay attention to areas of the image, which are filled with identical figures that show dolphins, sea gulls, flying fishes and other figures. Put together all these figures constitute complete image, which looks as a single whole and don't fall to pieces.

Like in Escher's "Metamproses" or in "Sky and Water" tessellated figures transfer from one to another.

Below you can see some other tessellated images by Makoto Makamura.

Escher spheres

Some Escher's tessellated images can be adopted to spherical surface. First of all it is concerned to his lithographs which show hyperbolic space such as "Angels and Devils", "Circle limit IV" etc. Above left is the original lithograph "Angels and Devils" and above right is the wooden spherical interpretation of it.

There's regular way to transformation hyperbolic geometry to spherical geometry. You can read it here http://plus.maths.org/issue18/xfile/.

Other Escher's tessellations also can be applied to sphere. You can see some examples below.
The last three images were found here.

Structures by Rinus Roelofs

Holland artist and mathematician Rinus Roelofs constructs charming mathematical structures. He constructs his structures in computer but some of them became sculptures in various Holland towns.

The sculpture above was erected in Borne (Holland) in 2005. It consists of 26 tetrahedrons or 104 triangles. Triangles are just slid together. Construction is stable and need no further fixing.

Bet he created a lot more computer models of three-dimensional structures. One of them (below) shows Hamiltonean path of polyhedron. Hamiltonean path is a sequence of edges that visits all vertexes of a polyhedron exactly once.

Besides three-dimensional structure Rinus Roelofs created a set of two-dimensional tessellation structures for Escher Centennial Congress in Rome in 1998. They represents regular structures that constitute infinite impossible figures. He insists not to call them tessellations but joins.

Platonic solids with Escher's mosaics

With Escher's mosaics we can cover not only flat plane but also surfaces of platonic solids. Some Escher's tessellations can be divided into simple shapes such as triangle and square. Using these simple shapes we can cover facets of polyhedrons. Below, you can see several examples of covering of Platonic solids with Escher's mosaics.

These images was found at http://www.math-inf.uni-greifswald.de/mathematik+kunst/polyeder.html

Gwen Fisher - Symmetry 1

Gwen Fisher

Symmetry 1

Symmetry 1 shows representations of five of the 17 wallpaper symmetry groups. All 17 of the wallpaper groups can be illustrated with the use of just two grids: the standard square grid and the isometric grid. This work was inspired by M. C. Escher artworks such as "Metamorphosis", "Metamorphosis II" or "Regular Division of the Plane".