What is Tessellation? - Exploring Conceptual Clarity

Explore the beauty and mathematical precision behind tessellation designs, their applications in art, architecture, and nature, and how they spark creativity and visual fascination.

What is the Meaning of Tessellation In Math?

Tessellations are application aspects of patterns or special kinds of patterns. Tessellations are those patterns that repeat but do not have clearly defined closed shapes. 

All tessellations are equal to translational symmetry.

- There are no spaces between and no overlapping of the shapes.

- The covering process has the potential to continue indefinitely.
- The angle should be 360 degrees. 
- Tessellations in which one regular polygon is used repeatedly are called regular tessellations.

 Types Of Tessellations Shapes/Patterns

1. Tessellations involve repeated use of one regular polygon

2. Tessellation by repeated use of 2 or more regular polygons

3. Tessellation of triangles and quadrilaterals

4. Tessellation of irregular shapes obtained by transformation of other tessellating shapes.

5. Tessellating involves other irregular shapes.

Tessellation in Real Life

Railings

Tessellations of quadrilateral (square and rectangle)

Source - iStock

Floor Design

Tessellation of rectangles Source - iStock

Carpet Designs

Tessellation of regular hexagons

Tessellation Relate Activities

1. Puzzles

2. Shapes Formation

Final Thoughts

Tessellation stands as a captivating intersection of mathematical precision, artistic expression, and practical application. 

Whether observed in the intricate patterns of historical mosaics, the meticulous design of architectural marvels, or the algorithms shaping digital landscapes, tessellation showcases the power of repetitive geometric elements to transform spaces and surfaces.

Edited by- Zoya

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