Tessellation3

Create a tessellation using only squares.

• Arrange squares in a grid pattern

• Arrange squares in a diagonal pattern

• Overlap the squares randomly

• Use circles instead of squares

What is the definition of a tessellation?

• A tessellation is a type of musical instrument

• A tessellation is a type of dance move

• A tessellation is the process of folding paper to create 3D shapes

• The definition of a tessellation is the tiling of a plane using one or more geometric shapes with no overlaps or gaps.

How many basic shapes are commonly used in creating tessellations?

• 5

• 4

• 6

• 3

Can a circle be used to create a tessellation? Why or why not?

• No

• Maybe

• Yes

• Sometimes

Explain the concept of rotational symmetry in tessellations.

• Rotational symmetry in tessellations means that the tessellated pattern can be rotated by a certain angle and still fit perfectly onto itself.

• Rotational symmetry in tessellations refers to the ability to reflect the pattern across a line of symmetry.

• Rotational symmetry in tessellations means that the pattern can be stretched or compressed without changing its appearance.

• Rotational symmetry in tessellations involves the repetition of a single shape without any gaps or overlaps.

Create a tessellation using only triangles.

• Create a tessellation using only squares.

• Create a tessellation using only circles.

• Create a tessellation using only hexagons.

• Create a tessellation by arranging equilateral triangles in a repeating pattern without any gaps or overlaps.

What is the difference between regular tessellations and semi-regular tessellations?

• Regular tessellations have irregular shapes, while semi-regular tessellations have regular shapes.

• Regular tessellations have different types of regular polygons meeting at each vertex, while semi-regular tessellations have all sides and angles congruent.

• Regular tessellations have rotational symmetry, while semi-regular tessellations have reflectional symmetry.

• Regular tessellations have all sides and angles congruent, while semi-regular tessellations have different types of regular polygons meeting at each vertex.

How can you ensure that a tessellation covers a plane without any gaps or overlaps?

• Overlap the polygons to create a unique pattern

• Use irregular shapes like stars or hearts

• Leave small gaps intentionally for artistic effect

• Use regular polygons with sides that are multiples of each other, such as squares, triangles, or hexagons.

Create a tessellation using a combination of squares and triangles.

• Create a tessellation by using only triangles and pentagons.

• Create a tessellation by randomly placing squares and triangles without any pattern.

• Create a tessellation by alternating between squares and triangles to cover the entire space without any gaps or overlaps.

• Create a tessellation using only circles and hexagons.

Why are tessellations important in art and design?

• Tessellations are important in art and design because they are outdated and no longer relevant.

• Tessellations are important in art and design because they provide a way to create visually appealing patterns and designs that seamlessly repeat without gaps or overlaps.

• Tessellations are important in art and design because they are only used in abstract art.

• Tessellations are important in art and design because they limit creativity and artistic expression.