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Resources tagged with Tessellations similar to Homely Angles:

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Broad Topics > Transformations and their Properties > Tessellations

LOGO Challenge 5 - Patch

Stage: 3 and 4 Challenge Level:

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

Triominoes

Stage: 3 Challenge Level:

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. . . .

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. . . .

Tessellating Transformations

Stage: 2 Challenge Level:

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?

Tessellating Hexagons

Stage: 3 Challenge Level:

Which hexagons tessellate?

Semi-regular Tessellations

Stage: 3 Challenge Level:

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

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. . . .

Making Maths: Kites and Darts

Stage: 2 Challenge Level:

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

Tiles in a Public Building

Stage: 2 Challenge Level:

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

LOGO Challenge - Triangles-squares-stars

Stage: 3 and 4 Challenge Level:

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.

Lafayette

Stage: 2 Challenge Level:

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

Schlafli Tessellations

Stage: 3, 4 and 5 Challenge Level:

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. . . .

LOGO Challenge - Tilings

Stage: 3 and 4 Challenge Level:

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. . . .

Shapely Tiling

Stage: 2 Challenge Level:

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?

Geomlab

Stage: 3, 4 and 5 Challenge Level:

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

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.

Tessellation Interactivity

Stage: 2, 3 and 4 Challenge Level:

An environment that enables you to investigate tessellations of regular polygons

Bow Tie

Stage: 3 Challenge Level:

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.

Tessellating Triangles

Stage: 2 Challenge Level:

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

Paving Paths

Stage: 3 Challenge Level:

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?

Escher Tessellations

Stage: 2 Challenge Level:

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

Tetrafit

Stage: 2 Challenge Level:

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?

Penta Place

Stage: 2 Challenge Level:

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

Building Stars

Stage: 2 Challenge Level:

An interactive activity for one to experiment with a tricky tessellation