History
Types of Tessellations
Mathematical Principles
Real-Life Applications
30

The Origins of Tessellations date back to the ( ) Civilization at approximately (  ) BC.

What is 4000 B.C? 

30

What is a monohedral tessellation? 

Tessellation made up of one shape with no gaps or overlaps. 

30

What is a tessellation?

A tessellation is a pattern of perfectly aligned shapes without gaps or overlaps. These shapes can be repeated infinitely to cover a plane.

30

 How are tessellations used in architecture and flooring?

Tessellations are used in architecture and flooring to create visually appealing and durable surfaces. For example, hexagonal tiles are often used in bathrooms and kitchens because they fit together without gaps, creating a seamless and water-resistant surface.

40

What is the most famous and well-known graphic artist who utilized tessellations in his work? 


Bonus Question: Year and Month M.E. Esher was born. 

Who is M.E Escher? 


June, 1898

40

What types of shapes can be used to make a tessellation plane? 

Equilateral triangles, squares, regular hexagons, rectangles, parallelograms.

40

Which regular polygons can create a regular tessellation?

Only three regular polygons can create a regular tessellation: equilateral triangles, squares, and regular hexagons. 

40

Can you give an example of tessellations in nature?

One common example of tessellations in nature is a honeycomb. Bees create hexagonal cells in their hives, which fit together perfectly to maximize space and efficiency.

50

Esher's Other interests? 

What is Travel?

What is Nature? 

What is Mathematics? 

50
How many semi-regular tessellations are there?

8

50

If you have a tessellation made of hexagons, how many hexagons meet at each vertex?

n a tessellation made of hexagons, three hexagons meet at each vertex

50

How do artists use tessellations in their work?

Artists like M.C. Escher use tessellations to create intricate and repeating patterns in their artwork. These patterns often involve interlocking shapes that cover a plane without any gaps or overlaps, creating visually stunning designs.

50

M.C. Esher was born in (  ). He was known for his work in the field of Graphic Art, but originally studied in what? 

What is Leeuwarden, Netherlands? 

What is architecture?

50

How many shapes can be used for a tessellation plane?

An infinite number of shapes can tessellate with no gaps or overlaps. 

50

Which regular polygons can tessellate a plane?

The regular polygons that can tessellate a plane are equilateral triangles, squares, and regular hexagons. These shapes can fit together perfectly without leaving any gaps.

50

How do tessellations help in the design of computer graphics?

In computer graphics, tessellations are used to efficiently model and render complex surfaces. By breaking down surfaces into smaller, manageable shapes (like triangles or polygons), tessellations allow for detailed and realistic representations of objects in 3D modeling and animation. 

 

60

Defenition of Graphic Art?

What is Visual Communication and Design? Graphic art is a broad field that encompasses visual communication and design. It involved creating visual concepts to communicate ideas and messages. 

60

How many/what shapes can be used for a REGULAR tessellation?

3.      Equilateral Triangle, Square, Regular Hexagon.

60

What is a tessellation?


A tessellation is a pattern made of one or more shapes that fit together without any gaps or overlaps. These shapes are repeated to cover a plane completely.

60

How are tessellations used in the design of quilts and textiles?

Tessellations are used in quilting and textile design to create repeating patterns that are both visually appealing and efficient in fabric usage. Quilters often use tessellated shapes like squares, triangles, and hexagons to piece together intricate designs that cover large areas without gaps, resulting in beautiful and cohesive quilts.