Step 1 Divide a circle into twelve equal sections. (You can download and print a template here)
Islamic geometric pattern by Eric Broug

Step 2 Draw a hexagon in the circle.

Islamic geometric pattern by Eric Broug

Step 3 Draw four lines that connect to the intersections indicated with red circles. It helps to consider the lines as two opposing V-shapes.
Islamic geometric pattern by Eric Broug

Step 4 Draw another two opposing V-shapes, as indicated. Make sure the point of V does not touch the circle but the hexagon,Islamic geometric pattern by Eric Broug

Step 5 Draw another two opposing V-shapes, as indicated.
Islamic geometric pattern by Eric Broug

Step 6 All the construction lines have now been drawn. Take a different colour pen or pencil and draw the red lines, tracing parts of lines you have drawn in the previous steps.Islamic geometric pattern by Eric Broug

Step 7 Draw the remaining red lines, as indicated.
Islamic geometric pattern by Eric Broug

Step 8 All the lines have been drawn, your pattern is complete.
Islamic geometric pattern by Eric Broug

Step 9 Your pattern without the construction lines.

Islamic geometric pattern by Eric Broug

Step 10 Now you can tessellate your pattern in a grid of hexagons to make a bigger composition. If you’re working in a group, tessellate all the patterns together.
Islamic geometric pattern by Eric Broug