In addition to being a basic geometric shape and common learning tool, a square-based pyramid is a fundamental part of many aesthetic designs. You can make square-based pyramid of any size from any rigid material by using the appropriate mathematical ratios to draft the pattern. Your finished pyramid will resemble those from ancient Egypt.
Create a triangle pattern. Draw an equilateral triangle (a triangle with all sides of the same length) on tagboard using a ruler. Make this whatever size you like; the height of the triangle will also be the height of your pyramid. Cut out the shape.
Draw a square on the paperboard. Make the sides of the square the same length as the length of the triangle.
Use the triangle pattern to create the pyramid shape. Line up the triangle with the edge of the square you just drew and trace it. Repeat on all four sides of the square.
Cut out the pyramid outline.
Assemble the pyramid. Fold the paperboard at the points where the square connects to the triangles, folding all four triangles up so that their tops meet in the centre point above the square, forming the pyramid shape. Attach the pieces permanently using clear tape, applying it over the edges between the triangle sides.
Use this pattern to create a pyramid from any kind of semi-rigid material that you can fold. With tougher materials, make the four triangle pieces separate from the square base, but otherwise the basic assembly will be the same