Tessellations
Math ⇒ Geometry
Tessellations starts at 7 and continues till grade 12.
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See sample questions for grade 11
A semi-regular tessellation is made up of regular polygons. At each vertex, the arrangement is 3.6.3.6. What does this mean?
Can a regular octagon tessellate the plane by itself? Explain why or why not.
Describe how Escher used tessellations in his artwork.
Describe the process for creating a tessellation using a translation transformation.
Describe the role of symmetry in tessellations.
Explain the difference between a regular and a semi-regular tessellation.
Explain why a regular pentagon cannot tessellate the plane by itself.
Consider a tessellation where each vertex is surrounded by two squares and three equilateral triangles. Write the vertex configuration notation for this tessellation.
Which of the following combinations of regular polygons can form a semi-regular tessellation? (1) 3 triangles and 2 squares (2) 2 hexagons and 2 squares (3) 1 triangle, 2 squares, and 1 hexagon (4) 2 pentagons and 2 triangles
Which of the following is a property of a regular tessellation? (1) All tiles are congruent regular polygons (2) More than one type of polygon is used (3) The pattern does not repeat (4) There are gaps between tiles
Which of the following is an example of a non-periodic tessellation? (1) Penrose tiling (2) Square tiling (3) Hexagonal tiling (4) Triangular tiling
Which of the following is NOT a semi-regular tessellation? (1) 3.3.3.4.4 (2) 3.6.3.6 (3) 4.8.8 (4) 3.5.6.4
A tessellation is a pattern of shapes that _______ a plane with no gaps or overlaps.
A tessellation is said to be _______ if it does not repeat its pattern in any direction.
Fill in the blank: In a semi-regular tessellation, the same combination of polygons must meet at every _______.
Fill in the blank: The sum of the angles at each vertex in a tessellation must be _______.
A tessellation is made using only congruent isosceles triangles. Is this a regular tessellation?
If a regular polygon has an interior angle that is a factor of 360°, can it tessellate the plane by itself?
If a tessellation is made using only congruent rectangles, is it a regular tessellation?
True or False: A tessellation can be created using only rotations and no translations.
