We think you have liked this presentation. If you wish to download it, please recommend it to your friends in any social system. Share buttons are a little bit lower. Thank you!
Presentation is loading. Please wait.
Published byKeyon Clover
Modified over 2 years ago
Tantalising Tessellations Everybody knows that squares tessellate. What exactly is meant by this?
A tessellation originally was the result of covering an area with tesserae – the small square blocks used by the Romans to make mosaics.
Nowadays the word tessellation is used to represent any tiling of a plane surface by a regular pattern of one or more congruent, non-overlapping shapes
This is a tessellation
This is not a tessellation Can you spot the odd tiles out?
This is not a tessellation Can you spot the odd tiles out?
Can you show that a tessellation can be made from any parallelogram?
If you can think of parallelograms forming strips, you can also see that they fit together very easily.
Can you show that a tessellation can be made from any triangle?
If you think of it, a parallelogram can be made from two triangles. Finding other patterns could be more worthwhile.
How would you show that no tessellation is possible from a regular pentagon?
The 108 o corners cannot be fitted together to form 360 o
It stands to reason then that if the corners do not add up to 360 o the shapes will not tessellate.
The fact is … only three regular shapes will tessellate
The equilateral triangle
The regular hexagon
Extension 1 Do all pentagons with one pair of parallel lines tessellate?
Extension 2 Are there other pentagons which tessellate?
The second quadrilateral was obtained by rotating the first through 180 o about O, the midpoint of a side.
Keep doing this and you will soon see a tessellation of quadrilaterals
Extension 3 Try the method used in Extension 2 for re-entrant quadrilaterals such as …
Why does this method always work?
Copyright © 2008 Pearson Education, Inc. Slide DEFINITION: TILES AND TILING 13.3 A simple closed curve, together with its interior, is a tile. A.
10.3 Polygons, Perimeters, and Tessalatiolns. Polygon- -Any closed shape in the plane formed by three or more line segments that intersect only at their.
TESSELLATIONS Oleh : Sulistyana SMP N 1 Wonosari.
Tessellations *Regular polygon: all sides are the same length (equilateral) and all angles have the same measure (equiangular)
TESSELLATIONS A Tessellation (or Tiling) is a repeating pattern of figures that covers a plane without any gaps or overlaps.
Tessellations Repeating shapes and patterns that completely cover a plane.
A tessellation (or tiling) is a special type of pattern that consists of geometric figures that fit without gaps or overlaps to cover the plane.
Pre-Algebra 5.9 Tessellations. Identify each polygon. 1. polygon with 10 sides 2. polygon with 3 congruent sides 3. polygon with 4 congruent sides and.
© 2010 Pearson Prentice Hall. All rights reserved. CHAPTER 10 Geometry.
Using Transformations to Create Fantastic Tessellations! Dr. Maria Mitchell 1.
Shapes and Designs Unit Project By Julia Buniak. Characteristics of a Triangle Number of Sides and Angles - 3 Angle Sum- 180˚ Different versions of Shapes-
G Stevenson What Are Tessellations? Basically, a tessellation is a way to tile a floor (that goes on forever) with shapes so that there is no overlapping.
Here are the eight semi-regular tessellations:
Tessellations A tessellation is the tiling of a plane using one or more geometric shapes. An important part of any tessellation is that there must be no.
Pre-Algebra 5-9 Tessellations 5-9 Tessellations Pre-Algebra Warm Up Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson Presentation.
CHAPTER 24 Polygons. Polygon Names A POLYGON is a shape made up of only STRAIGHT LINES.
Holt Geometry 12-6 Tessellations 12-6 Tessellations Holt Geometry Make a Thinking Map Make a Thinking Map to summarize this presentation to summarize this.
Tessellations This is a Roman inlaid marble tiling pattern For more see
What is a Tessellation? A tessellation is a pattern of repeating figures that fit together with NO overlapping or empty spaces. Tessellations are formed.
Confidential1 Tessellations. 2 Warm Up A parallelogram with four equal sides is called a Rhombus A triangle with three equal angles. Equilateral Triangle.
Holt Geometry 12-6 Tessellations 12-6 Tessellations Holt Geometry Warm Up Warm Up Lesson Presentation Lesson Presentation Lesson Quiz Lesson Quiz.
Symmetry. Line Symmetry Shape has line symmetry when one half of it is the mirror image of the other half. Symmetry exists all around us and many people.
Geometry 5 Level 1. Interior angles in a triangle.
Transformations, Symmetries, and Tilings 11.1 Rigid Motions and Similarity Transformations 11.2 Patterns and Symmetries 11.3 Tilings and Escher-like Designs.
Holt McDougal Geometry Tessellations Holt Geometry Warm Up Warm Up Lesson Presentation Lesson Presentation Lesson Quiz Lesson Quiz Holt McDougal Geometry.
7-9 Tessellations Course 3 Warm Up Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson Presentation.
All about Shapes Ask Boffin! Properties of Shapes Number of sides Number of angles Number of lines of symmetry Regular or irregular Right Angles Parallel.
© Boardworks of 24 Polygons. © Boardworks of 24 Information.
All about Shapes Properties of Shapes Number of sides Number of angles Number of lines of symmetry Regular or irregular Right Angles Parallel lines.
Tessellations. What is a Tessellation? A tessellation is a tiling, kind of like the floor, except it goes on forever. There must be no overlapping.
Section 4.1: polygons. Regular polygon: It is equilateral and equiangular.
2 pt 3 pt 4 pt 5pt 1 pt 2 pt 3 pt 4 pt 5 pt 1 pt 2pt 3 pt 4pt 5 pt 1pt 2pt 3 pt 4 pt 5 pt 1 pt 2 pt 3 pt 4pt 5 pt 1pt Vocab 1 Vocab 2 Transformations CompositionsMiscellaneous.
What is a tessellation? A tessellation is a pattern of repeating figures that fit together with NO overlapping or empty spaces. Tessellations are formed.
Are patterns of shapes that fit together without any gaps Way to tile a floor that goes on forever Puzzles are irregular tessellations Artists.
Polygons Lesson What is a polygon? A polygon is a simple, closed, two-dimensional figure formed by three or more line segments (sides). Closed?
Shapes and their properties. What am I? I have 2 pairs of equal sides I have 2 pairs of parallel sides I have 0 lines of symmetry I have no right-angles.
Objective:Objective: Students will name two dimensional figures (9-4).
Congruent Triangles Introduction to congruent angles.
Chapter 9: Transformations 9.7 Tesselations. repeating pattern of figures that completely covers a plane without gaps or overlaps think: tile, wallpaper,
Choose a category. You will be given the answer. You must give the correct question. Click to begin.
A tessellation or a tiling is a way to cover a floor with shapes so that there is no overlapping or gaps. Tessellations Remember the last jigsaw puzzle.
Integrated II – Unit Three Word Bank 1.Complementary Angles Two angles that add to 90 degrees. 2.Supplementary Angles Two angles that add to 180 degrees.
Classifications Bowen’s Class. Quadrilateral Any four sided polygon Any four sided polygon.
E12 Students will be expected to recognize, name, and represent figures that tessellate.
An angle is the figure formed by two lines with the same endpoint.
Pre-Algebra 5.4 Polygons. 1. How many sides does a hexagon have? 2. How many sides does a pentagon have? 3. How many angles does an octagon have? 4. Evaluate.
M. C. Escher Marjorie Rice Victor Vasarely Op Art.
© 2016 SlidePlayer.com Inc. All rights reserved.