#TYPES OF TESSELLATION HOW TO#

The development of Computer technology enables tessellation to be more powerful, as seen in surface control, surface display and structure design, etc. In history, tessellation was applied into skins or decorations in architecture. Both Geometry and Crystallography, the latter of which is the basic theory of three-dimensional tessellations, need to be studied. Besides, some special types of tessellations such as Voronoi Tessellation and Delaunay Triangles are also included. In terms of dimensions, there are two- dimensional tessellations and three-dimensional tessellations in terms of symmetry, there are periodic tessellations and aperiodic tessellations. Tessellation has been found since the birth of civilization. Tessellation plays a significant role in architectural geometry design, which is widely used both through history of architecture and in modern architectural design with the help of computer technology.

As well as providing a deeper understanding of such tessellation methods, this study will serve as a basis of reference for future studies in this field. In this paper, the geometric design principles, combination methods and iteration processes of the examples are also presented. For this reason, within the scope of this paper, the applied examples of the tessellations in buildings from past to present are examined which include both static and kinetic ones. Due to their great potentials, more studies should be conducted on the tessellations. Because the tessellation plays a significant role in architecture in terms of geometrical or structural design, the interest on this topic has been increased in recent years. Two- and three-dimensional examples of the tessellations can be seen in contemporary architecture either as façade elements or patterns used for structural elements. The tessellation can be reviewed under three categories such as regular, semi-regular and demi-regular tessellations. The tessellation has still been used in contemporary architecture since it not only allows creating the geometrical surface in an order but also provides multi-functionality to the surface when applied as shading elements. Through the history, different patterns have been used by many cultures for various applications ranging from decorative covering elements to multi-functional latticework screens. Based on Roman mosaics, the tessellation has an important place in architecture since the ancient times. Go to Object-> Transform -> ('Rotate' or 'Reflect').Tessellation, which has examples of use in art and architecture, is the covering of a surface using one or more geometric shapes without overlapping or gaps.

Hint: As with Persons 1 and 2, you will also need to rotate lines and shapes with precision. Also, you do not need to add details- just concentrate on the overall shape of the tile. Instead of translating the 'squiggly' lines, you will try rotation or glide reflection transformations. Irregular Tessellations from a Square, using Rotation or Glide Reflection (Person 4)- You will create an irregular tessellation starting with a square. You should also be able to answer these questions: Do all pentominoes tessellate? Do all 7-pin polygons tessellate? Are there pentominoes or 7-pin polygons that require transformations other than translation in order to tessellate?

#TYPES OF TESSELLATION HOW TO#

(You do not need to create any 'squiggly' lines, but you do need to know how to create two different tessellations- one pentomino tessellation, and one 7-pin polygon tessellation).

Tessellations from Pentominoes and 7-Pin Polygons (Person 3)- While this seems like more work because you are researching two different types of tessellations, both of these are fairly easy to understand and create tessellations with. Last, you will have to precisely determine an exact midpoint for one of the sides of the triangle. Go to Object->Transform ->Rotate and choose the appropriate angle (you might need to use a little math, or just 'undo' until you get it right). Hints: You will need to discover how to make an equilateral triangle in Illustrator (Google it)! You will also need to rotate lines with precision.

Irregular Tessellations from a Triangle (Persons 1 and 2)- Create a tessellation using an equilateral triangle as the base.

Types of tessellation