TESSELLATION
Definition Of Tessellation
The tessellation is a repeating pattern of figures that covers a plane without any gaps or overlaps.
In other words, a terminating decimal doesn't keep going. A terminating decimal will have a finite number of digits after the decimal point.
Examples of Terminating Decimal
Video Examples: math tessellations
Solved Example on Tessellation
Ques: Does the figure shown can make up a tessellation?
Choices:
A. No
B. Yes
C. Cannot be determined
D. Possible only sometimes
Correct Answer: B
Solution:
Step 1: A tessellation can be formed as the sides of the figure shown are congruent
Step 2: A plane figure is taken. One of the side is cutout and is pasted on the opposite side
Step 3: The process is repeated on the other side.
Step 4: Add interior design to it.
Step 5: The figure is repeated to form a tessellation
Step 6: So, a tessellation can be formed by the given figure
Quick Summary
- Tessellations are repeating patterns.
- They cover a surface without gaps or overlaps.
- Common tessellations use squares, triangles, and hexagons.
🍎 Teacher Insights
Use hands-on activities with pattern blocks to allow students to explore different tessellations. Encourage students to create their own tessellations.🎓 Prerequisites
- Basic geometric shapes (squares, triangles, hexagons)
- Understanding of congruence
- Knowledge of angles
Check Your Knowledge
Q1: Which of the following shapes can form a regular tessellation?
Q2: What is a key characteristic of a tessellation?
Frequently Asked Questions
Q: What shapes can tessellate?
A: Regular polygons that tessellate are equilateral triangles, squares, and regular hexagons. Other shapes can also tessellate.
Q: Are tessellations used in real life?
A: Yes, tessellations are found in art, architecture, and nature (e.g., honeycomb).