Short summary of chapter one of robotic's textbook

To build a sturdy structure, the bottom part should have more gears then the upper part of the built. However, it is not necessarily true all the time. One example is a chassis where the upper part and lower part have the same built. The diagonal connection of the beam allows for the chassis to be strong and light that is capable of supporting weight. In addition, it is also feasible to build a strong and heavy chassis using the 6:5 ratio stacking method. The downside to that is that it uses up a lot of bricks. If we are to construct a chassis, the length of the diagonal has to be an integer. This is where Pythagoras theorem is useful, since it can be used to find a diagonal length that is an integer. Suppose the length of one side is 3 and another side is 4. By using Pythagoras theorem, we can determine the length of the thirds side of the length is 5. Conversely, the theorem can also be used to rule out triangle that does not have a matching relationship between the length of its 3 sides. For example, a triangle with a side length of 5 and 8 will not be able to produce a right triangle with its third side length as an integer. All of these are essential since the connecting beam is made with integer length. It should be noted that it is hard to apply Pythagoras theorem using certain angular beams as they do not have a right angle.