Step 1:

Cut three strips from the sheet of paper, along the red lines shown in the image. Make sure that each strip is slightly smaller then the next (1mm is enough, any larger and it won't work well)

Step 2:

Fold these three strips along the grey lines to create three triangular prisms. Use three small pieces of tape to close the prisms.

You can proceed to insert each prism just inside the slightly larger prism, and use a small piece of tape to stick them all together.

You have just created the body of your paper tower.

Step 3:

Proceed to cut out the next four strips of paper (along the yellow lines). Like previously, create triangular prisms by folding along the grey lines. Use three small pieces of tape to close the prisms.

You will be using these strips to create a triangular based pyramid. Insert the tips of three triangular prisms inside the tip of the fourth and use three small pieces of tape to attach them together. With a thin and small additional strip of paper, connect each of the legs together to provide additional rigidity.

You've just created the base of your tower.

Step 4:

Slide the body of your tower into the base. Attach them with a small piece of tape.

Step 5:

At this point, you've created the main components of your tower. Use the additional paper you have left (roughly a third of the sheet) to create more body components and increase the height of the tower.

We would also recommend watching the video tutorial as it provides a useful visual aid.