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Of All the Areas

Can you find a general rule for finding the areas of equilateral triangles drawn on an isometric grid?

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LOGO Challenge 5 - Patch

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

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LOGO Challenge 6 - Triangles and Stars

Recreating the designs in this challenge requires you to break a problem down into manageable chunks and use the relationships between triangles and hexagons. An exercise in detail and elegance.

Can You Explain Why?

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

Why do this problem?

This problem challenges students to use their powers of visualisation.

An ability to picture equilateral and isosceles triangles might be useful here.