Definition: The tessellation made up of regular congruent polygons is called regular tessellation.
For examples: tessellations made from equilateral triangles, squares.
Definition: A semi-regular tessellation is made of two or more types of regular polygons, arranged such that every vertex has the exact same arrangement of polygons around it.
Instruction: Complete the tessellation pattern! Click "Make Shape" to activate the shape cursor, then click anywhere on the canvas grid to fill and solve the question. Use "Next Question" to advance to the next pattern.
Interactive Student Simulation
Figure (a) 3.3.3.3.3.3
Shape Used: Equilateral Triangles (3 sides).
Corner Trick: Pick any single point where triangles touch.
Count: Exactly 6 triangles surround that 1 point.
Name: Six 3-sided shapes meeting = 3.3.3.3.3.3
Figure (b) 4.4.4.4
Shape Used: Squares (4 sides).
Corner Trick: Pick any grid line intersection.
Count: Exactly 4 squares surround that 1 point.
Name: Four 4-sided shapes meeting = 4.4.4.4
Figure (c) 6.6.6
Shape Used: Regular Hexagons (6 sides).
Corner Trick: Pick a corner where hexagon edges meet.
Count: Exactly 3 hexagons surround that 1 point.
Name: Three 6-sided shapes meeting = 6.6.6
Look at the red target dot in the center. Count how many triangles touch that dot! (Answer: 6 triangles). Click anywhere on the grid to move the dot to another vertex!