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LOGO Challenge 8 - Rhombi

Explore patterns based on a rhombus. How can you enlarge the pattern - or explode it?

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Adding Triangles

What is the total area of the first two triangles as a fraction of the original A4 rectangle? What is the total area of the first three triangles as a fraction of the original A4 rectangle? If you could you go on adding all the triangles' areas, what do you think the total would be as a fraction of the original A4 rectangle?

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Attractive Rotations

Here is a chance to create some attractive images by rotating shapes through multiples of 90 degrees, or 30 degrees, or 72 degrees or...

Can You Explain Why?

Age 11 to 14 Challenge Level:

Imagine having a pencil, ruler, protractor and compass and being asked to draw the triangle below.

Can you explain why it is an impossible triangle to construct?