Tessellation.

Slides:

Advertisements

Similar presentations

Exploring Tessellations

Advertisements

Rotational Symmetry.

Rotational Symmetry.

Properties of 2-D Shapes

Partitioning Two-digit numbers (horizontal) Two-digit numbers (vertical) Three-digit numbers (horizontal) Three-digit numbers.

Prisms and Pyramids By Harrison.

Using Transformations to Create Fantastic Tessellations! Dr. Maria Mitchell 1.

Procedural Content Tiling

Using Transformations to Create Fantastic Tessellations! Dr. Maria Mitchell 1.

Tessellations Alexander Alvarez.

2 D shapes only have two dimensions, such as width and length Some are: Polygons and Some are: Not Polygons.

This Exploration of Tessellations will guide you through the following: Exploring Tessellations Definition of Tessellation Semi-Regular Tessellations.

Example 1 Use the coordinate mapping ( x, y ) → ( x + 8, y + 3) to translate ΔSAM to create ΔS’A’M’.

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.

Can’t Wait to Tessellate! Mrs. Knowlton, Art Teacher Tara Elementary School Bradenton, Florida.

Math Jeopardy For more information, click >>>>>> Where two faces meet edge.

Tessellations all around us

POLYGONS. BUILDING POLYGONS We use line segments to build polygons. A polygon is a closed shape with straight sides.

M. C. Escher Born in the Netherlands.

Is this a square or a pentagon? It is a square.

Terra Alta/East Preston School

Lesson 10-4: Tessellation

A polygon is a closed figure made by joining line segments, where each line segment intersects exactly two others. Polygons.

© T Madas. A pattern of shapes which fit together without leaving any gaps or overlapping A way of completely covering a plane with shapes which do not.

Tessellations 1 G.10b Images from ygons/regular.1.html

Tessellations!!!!! A tessellation is a way to tile a floor (that goes on forever) with shapes so that there is no overlapping and no gaps.

TESSELLATIONS A Tessellation (or Tiling) is a repeating pattern of figures that covers a plane without any gaps or overlaps.

Shape Sorter Click here for 3D Shapes Click on a Cube Q.1.

Lesson 10-4: Tessellation

Create Your Own Tessellation If many copies of a shape can be used to cover a surface, without leaving any gaps between them, then we say that the shape.

Repeating shapes and patterns that completely cover a plane

Ch. 6 Geometry Lab 6-9b Tessellations Lab 6-9b Tessellations.

Line Symmetry. Line Symmetry If a shape can be folded in half so that one half fits exactly on top of.

Create Your Own Tessellation If many copies of a shape can be used to cover a surface, without leaving any gaps between them, then we say that the shape.

Objective: Discover the characteristics of reflectional and rotational symmetry Warm up 1. Is there line or reflectional symmetry on each picture? a.

G.5.C Use properties of transformations and their compositions to make connections between mathematics and the real world, such as tessellations.

 If many copies of a shape can be used to cover a surface, without leaving any gaps between them, then we say that the shape will tessellate.  The pattern.

Tessellations Starting slide….

Exploring Tessellations

What common points can we observe on these images? Do we often find this in architecture?

Tessellations Objective:

Here you can learn all about 2-D shapes

Polygons, Perimeters, and Tessellations

Investigation 12: Tessellation

Tessellations POD: What is the measure of each interior angle of each regular polygon? Equilateral triangle Pentagon Hexagon Octagon.

Click to begin! Can you guess the shape?.

Rotational Symmetry.

Tessellations POD: What is the measure of each interior angle of each regular polygon? Equilateral triangle Pentagon Hexagon Octagon.

Here you can learn all about 2-D shapes

Lesson 10-4: Tessellation

All pupils understand and construct tessellations using polygons

All Change It Fits Tessellations To be able to:

If you cut out 2 identical polygons, lay one on the other and lift the top one straight up slowly, keeping it perpendicular to its twin, you can imagine.

Analyze What do you see here? How has the M.C. Escher artist used:

All About Shapes! Let’s Go!.

Presentation transcript:

Tessellation

Tessellation If many copies of a shape can be used to cover a surface, without leaving any gaps between them, then we say that the shape will tessellate. The pattern that is formed is called a tessellation.

Tessellations all around us Look for tessellations in walls, patios and pavements.

Tessellations all around us Common shapes can be arranged in unusual ways Sometimes an unusual shape will tessellate

Tessellations all around us Sometimes 2 or more different shapes will tessellate.

Tessellation with Pentominoes If you don’t know what a pentomino is, then click here. If you have done the pentominoes activity before, then you will know what a pentomino is and how many different pentominoes there are. Here they are ...

Tessellation with Pentominoes Which Pentominoes will tessellate? Here is one example to get you started….

Tessellation with Pentominoes

Tessellation with 7-Pin Polygons If you don’t know what a 7-pin polygon is, then click here. If you have done the 7-pin polygons activity before, then you will know what a 7-pin polygon is and how many different ones there are. Here they are ...

Tessellation with 7-Pin Polygons Which 7-pin polygons will tessellate? Here is one example to get you started….

Tessellation with 7-Pin Polygons

Tessellations by M.C. Escher

Make Your Own Escher Tessellations 1 Step 1: Start with a simple shape that will tessellate e.g. a rectangle. Step 2: Remove a shape or shapes from one side of the rectangle and fix them to the opposite side.

Make Your Own Escher Tessellations 1 Use this as a template to create your tessellation.

Make Your Own Escher Tessellations 2 You could start with a hexagon and cut semi-circles from three of the sides and fix them to the opposite sides like this.

Make Your Own Escher Tessellations 2

Make Your Own Escher Tessellations 3 Start with a square and cut segments from two sides and fix them to the opposite sides like this.

Make Your Own Escher Tessellations 3

Enjoy making your own tessellations! END OF PRESENTATION

Pentominoes A pentomino is made out of five squares that are connected along at least one edge. Here is an example of a pentomino. These are NOT pentominoes. How many different pentominoes can you find? Click here to return to the Tessellations.

7-Pin Polygons Here is an arrangement of 7 pins. A 7-pin polygon is a closed shape with straight sides with corners on the pins. Here are some examples of 7-pin polygons. How many different 7-pin polygons can you find? Click here to return to the Tessellations.

Enjoy making your own tessellations! END OF PRESENTATION