Tessellation2

What is a regular tessellation?

• A regular tessellation is a 3D shape

• A regular tessellation is a tiling of the plane with only one type of irregular polygon

• A regular tessellation is a type of irregular polygon

• A regular tessellation is a tiling of the plane with one or more types of regular polygons.

Identify the regular tessellation among the following: a) Triangle b) Square c) Pentagon

• Square

• Pentagon

• Hexagon

• Triangle

Explain the concept of non-regular tessellations.

• Non-regular tessellations are patterns formed by shapes that are not symmetrical.

• Non-regular tessellations are patterns formed by shapes that are not regular polygons.

• Non-regular tessellations are patterns formed by shapes that are not congruent.

• Non-regular tessellations are patterns formed by shapes that are not equilateral.

Provide an example of a non-regular tessellation.

• Combination of triangles and diamonds

• Combination of circles and hexagons

• Combination of squares and triangles

• Combination of pentagons and octagons

How many types of regular tessellations are there?

• 5

• 3

• 6

• 4

What are the three types of non-regular tessellations?

• Ordered tessellations, patterned tessellations, and structured tessellations

• Symmetric tessellations, disordered tessellations, and irregular tessellations

• Aperiodic tessellations, semi-regular tessellations, and demi-regular tessellations

• Regular tessellations, chaotic tessellations, and random tessellations

Which shape cannot create a regular tessellation?

• Shape with only acute angles

• Shape with an interior angle that is not a divisor of 360 degrees

• Shape with all sides of different lengths

• Shape with an odd number of sides

Describe the process of creating a regular tessellation.

• Use irregular polygons and arrange them haphazardly

• Start with a regular polygon as the base shape and replicate it by translating, rotating, and reflecting to cover the plane without gaps or overlaps.

• Begin with a circle and expand it randomly across the plane

• Start with a random shape and repeat it without any pattern

Why are regular tessellations important in mathematics?

• Regular tessellations are important in mathematics because they demonstrate symmetry, help understand geometric concepts, and have practical applications in art and design.

• Regular tessellations are important in mathematics because they are only used in advanced calculus.

• Regular tessellations are important in mathematics because they have no real-world applications.

• Regular tessellations are important in mathematics because they are unpredictable and chaotic.

Can a tessellation have curved shapes? Explain.

• Yes

• No

• Only on odd-numbered days

• Sometimes