Modular Systems: The Key to Flexibility and Adaptability

This idea of modular systems is the basis for the Droidling platform. A modular system is a type of system that is made up of individual components that can be easily attached and detached, allowing for flexibility and customization. We designed our modular system to use components with dimensions that increase geometrically, generated by the following formula:

Length(n) = sqrt(Length(n-1)² + Length(n-2)²)

This formula generates a series of lengths that increase in a geometric progression, starting with two base lengths. This can be useful for creating a modular system because it allows for a range of sizes that can be easily assembled and disassembled as needed.

In addition to the formula, a transformation matrix can be used to step up or down from a reference length “c.” The transformation matrix for stepping up from a reference length “c” is as follows:

[c, sqrt(c² + c²), sqrt(sqrt(c² + c²)² + sqrt(c² + c²)²), …]

And the transformation matrix for stepping down from a reference length “c” is:

[c, c/sqrt(2), c/(sqrt(2)²), …]

Using these formulas and transformation matrices, it is possible to create a modular system with a wide range of component sizes that can be easily assembled and disassembled as needed. This can be particularly useful for general machinery, as it allows for easy repair and maintenance, customization to fit specific needs, and cost-effectiveness.

Overall, a modular system designed with components that have dimensions that increase geometrically is a great choice for general machinery due to its flexibility, ease of repair and maintenance, and cost-effectiveness. It allows for the equipment to be customized to fit the specific needs of the tasks it will be used for, and ensures that it will be reliable and efficient for many years to come. So, it is a very good idea to use a modular system in general machinery, which is why we based the entire system off the idea.