1 / 23

TESSELLATIONS

TESSELLATIONS. Oleh : Sulistyana SMP N 1 Wonosari. What kind of a geometrical shape forms this design?. INDICATORS:. Creating tessellations using equilateral triangle, regular hexagon, rhombus, and trapezoid.

monty
Download Presentation

TESSELLATIONS

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. TESSELLATIONS Oleh : Sulistyana SMP N 1 Wonosari

  2. What kind of a geometrical shape forms this design?

  3. INDICATORS: • Creating tessellations using equilateral triangle, regular hexagon, rhombus, and trapezoid. • Explaining whether tessellation can be created using a square and an equilateral triangle, and justifying the answer with a figure. • Determining the sum of measures of the angles where the vertices of the figures meet in the tessellations. • Determining the name of two figures that cannot be used to create a tessellation and justifying the answer with a figure. • Creating tessellation using other pattern blocks.

  4. Tessellations A pattern formmed by repeating figures that fit together without gaps or overlaps is a tessellation. Tessellations are formed using translation(slides), reflection(flips), or rotation(turns) of congruent figures

  5. Three Common Transformations 1. Translation, which is a slide of one side of the polygon. 2. Reflection, which is a flip or mirror image of one side of the polygon. 3. Rotation, which is a turn of a side around one vertex of the polygon.

  6. Reflections

  7. Reflections

  8. Tessellation from a rotation

  9. Let’s try together a rotation

  10. Tessellation A pattern of shapes that fit perfectly together! A Tessellation (or Tiling) is when you cover a surface with a pattern of flat shapes so that there are no overlaps or gaps. Examples: Rectangles Octagons and Squares Different Pentagons

  11. 1. Regular Tessellations A regular tessellation is a pattern made by repeating a regular polygon. Triangles 3.3.3.3.3.3 Squares 4.4.4.4 Hexagons 6.6.6 There are only 3 regular tessellations

  12. Look at a Vertex ...

  13. 2. Semi-regular Tessellations A semi-regular tessellation is made of two or more regular polygons. The pattern at each vertex must be the same! There are only 8 semi-regular tessellations:

  14. 3. Other Tessellations There are also "demiregular" tessellations, but mathematicians disagree on what they actually are! And some people allow curved shapes (not just polygons) so you can have tessellations like these:

More Related