Contents

- 1 How does Escher’s work manipulate your perception?
- 2 Why are tessellations important in real life?
- 3 How do tessellation affect our everyday life?
- 4 In what ways have tessellations help to shape the world of arts?
- 5 What shapes will not tessellate?
- 6 What are the 5 patterns in nature?
- 7 Do all shapes tessellate?
- 8 What are the 3 types of tessellations?
- 9 How does tessellation work?
- 10 Can circles Tessellate?
- 11 Can octagons Tessellate?
- 12 Is tessellation math or art?

## How does Escher’s work manipulate your perception?

Escher’s work on reflection challenges our visual perception of objects due to the effects of light and surfaces.

## Why are tessellations important in real life?

Tiles used in tessellations can be used for measuring distances. Once students know what the length is of the sides of the different tiles, they could use the information to measure distances. Tiles that are arranged so there are no holes or gaps can be used to teach students that area is a measure of covering.

## How do tessellation affect our everyday life?

If you look around you can find many things that use tessellations. A few examples are corn on the cob, a pineapple, honeycomb, scales on a fish, a tortoise shell, brick layer when creating a wall, fabrics with tessellating patterns, gardens, tiles, mosaics, woodwork, buildings, wall and floor paterns, ect.

## In what ways have tessellations help to shape the world of arts?

Because of their characteristics and decorative aesthetics, tessellations were used in art and architecture alike, providing coverings for walls, pavements and ceilings of many facilities.

## What shapes will not tessellate?

Circles or ovals, for example, cannot tessellate. Not only do they not have angles, but you can clearly see that it is impossible to put a series of circles next to each other without a gap. See?

## What are the 5 patterns in nature?

Spiral, meander, explosion, packing, and branching are the “ Five Patterns in Nature ” that we chose to explore.

## Do all shapes tessellate?

While any polygon (a two-dimensional shape with any number of straight sides) can be part of a tessellation, not every polygon can tessellate by themselves! Furthermore, just because two individual polygons have the same number of sides does not mean they can both tessellate.

## What are the 3 types of tessellations?

There are only three regular tessellations: those made up of squares, equilateral triangles, or regular hexagons.

## How does tessellation work?

A tessellation is created when a shape is repeated over and over again covering a plane without any gaps or overlaps. Another word for a tessellation is a tiling.

## Can circles Tessellate?

Circles are a type of oval—a convex, curved shape with no corners. While they can ‘t tessellate on their own, they can be part of a tessellation but only if you view the triangular gaps between the circles as shapes.

## Can octagons Tessellate?

Any pattern that does this is called a tiling. There are only three regular shapes that tessellate – the square, the equilateral triangle, and the regular hexagon. All other regular shapes, like the regular pentagon and regular octagon, do not tessellate on their own.

## Is tessellation math or art?

A tessellation, or tiling, is the covering of the plane by closed shapes, called tiles, without gaps or overlaps [17, page 157]. Tessellations have many real-world examples and are a physical link between mathematics and art. Simple examples of tessellations are tiled floors, brickwork, and textiles.