Table of Contents
What are the 3 rules of tessellations?
REGULAR TESSELLATIONS:
- RULE #1: The tessellation must tile a floor (that goes on forever) with no overlapping or gaps.
- RULE #2: The tiles must be regular polygons – and all the same.
- RULE #3: Each vertex must look the same.
What is the purpose of tessellation in math?
Tessellation in two dimensions, also called planar tiling, is a topic in geometry that studies how shapes, known as tiles, can be arranged to fill a plane without any gaps, according to a given set of rules.
How is a tessellation formed?
A tessellation is created when a shape is repeated over and over again covering a plane without any gaps or overlaps. Another word for a tessellation is a tiling.
Can tessellations rotate?
Rotation is a common element of tessellations. As long as a shape or pattern has two adjacent sides that are congruent, a rotation tessellation can be produced.
Why are tessellations used?
Since tessellations have patterns made from small sets of tiles they could be used for different counting activities. Tiles used in tessellations can be used for measuring distances. Once students know what the length is of the sides of the different tiles, they could use the information to measure distances.
Why do squares and circles have 360 degrees?
Why do squares and circles have 360 degrees? For a circle, the 360° is the angle you get if you go around the center all the way around. It so happens that the sum of the interior angles of a square is 360°. A square is no more a circle than it is an equilateral triangle.
What shapes angles add up to 360?
The General Rule
| Shape | Sides | Sum of Interior Angles |
|---|---|---|
| Quadrilateral | 4 | 360° |
| Pentagon | 5 | 540° |
| Hexagon | 6 | 720° |
| Heptagon (or Septagon) | 7 | 900° |