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Resources tagged with Tessellations similar to Tessellation Interactivity:

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Broad Topics > Transformations and their Properties > Tessellations

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Tessellation Interactivity

Stage: 2, 3 and 4 Challenge Level: Challenge Level:1

An environment that enables you to investigate tessellations of regular polygons

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Semi-regular Tessellations

Stage: 3 Challenge Level: Challenge Level:1

Semi-regular tessellations combine two or more different regular polygons to fill the plane. Can you find all the semi-regular tessellations?

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Tetrafit

Stage: 2 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

A tetromino is made up of four squares joined edge to edge. Can this tetromino, together with 15 copies of itself, be used to cover an eight by eight chessboard?

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LOGO Challenge - Triangles-squares-stars

Stage: 3 and 4 Challenge Level: Challenge Level:2 Challenge Level:2

Can you recreate these designs? What are the basic units? What movement is required between each unit? Some elegant use of procedures will help - variables not essential.

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Building Stars

Stage: 2 Challenge Level: Challenge Level:2 Challenge Level:2

An interactive activity for one to experiment with a tricky tessellation

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Tessellating Hexagons

Stage: 3 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Is it true that any convex hexagon will tessellate if it has a pair of opposite sides that are equal, and three adjacent angles that add up to 360 degrees?

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Paving Paths

Stage: 3 Challenge Level: Challenge Level:2 Challenge Level:2

How many different ways can I lay 10 paving slabs, each 2 foot by 1 foot, to make a path 2 foot wide and 10 foot long from my back door into my garden, without cutting any of the paving slabs?

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Bow Tie

Stage: 3 Challenge Level: Challenge Level:2 Challenge Level:2

Show how this pentagonal tile can be used to tile the plane and describe the transformations which map this pentagon to its images in the tiling.

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Shapely Tiling

Stage: 2 Challenge Level: Challenge Level:2 Challenge Level:2

Use the interactivity to make this Islamic star and cross design. Can you produce a tessellation of regular octagons with two different types of triangle?

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Lafayette

Stage: 2 Challenge Level: Challenge Level:1

What mathematical words can be used to describe this floor covering? How many different shapes can you see inside this photograph?

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Penta Place

Stage: 2 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Penta people, the Pentominoes, always build their houses from five square rooms. I wonder how many different Penta homes you can create?

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Shaping up with Tessellations

Stage: 2 and 3

This article describes the scope for practical exploration of tessellations both in and out of the classroom. It seems a golden opportunity to link art with maths, allowing the creative side of your. . . .

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Escher Tessellations

Stage: 2 Challenge Level: Challenge Level:2 Challenge Level:2

This practical investigation invites you to make tessellating shapes in a similar way to the artist Escher.

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Making Maths: Kites and Darts

Stage: 2 Challenge Level: Challenge Level:1

Using these kite and dart templates, you could try to recreate part of Penrose's famous tessellation or design one yourself.

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Tiles in a Public Building

Stage: 2 Challenge Level: Challenge Level:1

What is the same and what is different about these tiling patterns and how do they contribute to the floor as a whole?

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Triominoes

Stage: 3 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

A triomino is a flat L shape made from 3 square tiles. A chess board is marked into squares the same size as the tiles and just one square, anywhere on the board, is coloured red. Can you cover the. . . .

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Maurits Cornelius Escher

Stage: 2 and 3

Have you ever noticed how mathematical ideas are often used in patterns that we see all around us? This article describes the life of Escher who was a passionate believer that maths and art can be. . . .

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LOGO Challenge - Tilings

Stage: 3 and 4 Challenge Level: Challenge Level:2 Challenge Level:2

Three examples of particular tilings of the plane, namely those where - NOT all corners of the tile are vertices of the tiling. You might like to produce an elegant program to replicate one or all. . . .

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Outside the Box

Stage: 2 and 3

This article explores the links between maths, art and history, and suggests investigations that are enjoyable as well as challenging.

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Tessellating Triangles

Stage: 2 Challenge Level: Challenge Level:1

Can you make these equilateral triangles fit together to cover the paper without any gaps between them? Can you tessellate isosceles triangles?

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LOGO Challenge 5 - Patch

Stage: 3 and 4 Challenge Level: Challenge Level:1

Using LOGO, can you construct elegant procedures that will draw this family of 'floor coverings'?

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Geomlab

Stage: 3, 4 and 5 Challenge Level: Challenge Level:1

A geometry lab crafted in a functional programming language. Ported to Flash from the original java at web.comlab.ox.ac.uk/geomlab

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Schlafli Tessellations

Stage: 3, 4 and 5 Challenge Level: Challenge Level:1

are somewhat mundane they do pose a demanding challenge in terms of 'elegant' LOGO procedures. This problem considers the eight semi-regular tessellations which pose a demanding challenge in terms of. . . .

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Tessellating Transformations

Stage: 2 Challenge Level: Challenge Level:2 Challenge Level:2

Can you find out how the 6-triangle shape is transformed in these tessellations? Will the tessellations go on for ever? Why or why not?