Design roofs with right triangles. If you know the desired length and height of the roof, you can easily determine the design of the triangle to use for the roof. Divide the length of the roof by 2. Let the length of your potential triangle be this length. Let the height of the triangle be equal to the desired height of the roof. Your roof is then the piecing together of two right triangles. These two right triangles have the length and heights you have calculated, in addition to the third side (the hypotenuse) being given by the equation h = sqrt(l^2 + h^2). In this equation “sqrt” refers to the square root equation, “l” refers to the length of an individual triangle and “h” refers to the height of a given triangle.
Use equilateral triangles in rotatable structures. Equilateral triangles have the special structural feature of being extremely stable. This feature comes from the fact that in order to change the vertex, the angle between two legs of a triangle, and bend the triangle, you would literally need to change the length of the triangle, which is an impossible phenomenon when only basic physical forces are involved. Thus for building structures that will receive pressure from many sides, be liberal with the use of equilateral triangles.
Replace squares and rectangles with two combined triangle pieces. Unlike triangles, squares and rectangles can be easily bent; their vertices can change without a need for change in the lengths of the legs. Thus, for stability, you should replace these shapes with two triangles whose areas sum to the area of the original shape. This will add stability to your structures.