Tessellations of two shapes

In your book, Maths Mela (Chapter 7, Shapes and Patterns), some tessellations use two shapes instead of one. The first pattern is made of regular hexagons (6 equal sides) and triangles. The hexagons sit in rows, and the triangles fill the spaces between them. At every point where the corners meet, there are 2 hexagons and 2 triangles, taking turns: hexagon, triangle, hexagon, triangle.

Regular octagons (8 equal sides) do not tessellate on their own: when you put them side by side, a small gap is left between every four octagons. In the book's second pattern, each gap is filled with a small square. At each marked point, 2 octagons and 1 square meet, and the same set of shapes meets at every one of these points. So this pattern is made of octagons and squares.

The book's third pattern is made of squares and triangles, fitted together on dotted paper. You can make your own patterns with two shapes too. The rule is always the same: around every point, the shapes must fit with no gap and no overlap.