Semi-regular tessellations combine two or more different regular polygons to fill the plane. Can you find all the semi-regular tessellations?
When dice land edge-up, we usually roll again. But what if we didn't...?
Is this a fair game? How many ways are there of creating a fair game by adding odd and even numbers?
Create some shapes by combining two or more rectangles. What can you say about the areas and perimeters of the shapes you can make?
Interior angles can help us to work out which polygons will tessellate. Can we use similar ideas to predict which polygons combine to create semi-regular solids?
Explore the relationships between different paper sizes.
Take three whole numbers. The differences between them give you three new numbers. Find the differences between the new numbers and keep repeating this. What happens?