Math 2023
1
Tessellations
Definition
:
A tessellation
is an _____________________________ of _________ or
_____________ shapes which completely __________________ the plane (________
_________________), without any ___________, __________, or _________________.
Examples:
Using Pattern Blocks, determine which of the following polygons can be used to tessellate the
plane without using the other polygons.
Definition
: A regular tessellation
is a tessellation in which a ______________ type of congruent
_______________ _____________________ is used to tessellate the plane.
Are any of the tessellations you created above
regular tessellations?
If so, which ones?
Can you create a regular tessellation
using a pentagon or an octagon?
Try to tessellate the
figures below by tracing copies of them onto a plain piece of paper.
Do they tessellate?
Explain.
Pattern Block Polygon
Does it tessellate?
Equilateral Triangle (green)
Square (orange)
Rhombus (white)
Rhombus (blue)
Isosceles Trapezoid (red)
Regular Hexagon (yellow)
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Math 2023
2
What is the measure of a vertex angle in each of the following regular polygons?
How does the vertex angle affect whether the shape can form a regular tessellation?
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 Fall '10
 Staff
 Polygons, Tessellation, Regular polygon, Pattern Block Polygon, regular tessellation

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