These models may be rough but they are empirically accurate, showing the rhyme and reason of the cosmos. The apparent value is years - if by 'apparent value' you mean unit of measurement. Apologies that my crude initial models do not all have axes. The first model shows the years, so these can easily be added to the rest. For example, the Jupiter-Saturn 5:2 ratio is close to 59 years. If by 'apparent value' you meant intrinsic worth, then the value is the addition of the dimension of time to the depiction of the relative orbits of the gas giants. Picture two from the OP fits 500 years of data into a very simple diagram. It is mainly a more informative way to present relative orbits. Looking for non-astronomical practical uses, it may be useful for historical timelines. It expands the horizons of modelling the solar system by showing the relative dimensions of the gas giants in temporal as well as spatial terms. Previous presentations usually just show orbits by distance, a method which does not show that for example, Jupiter orbits the sun about fifteen times for each Neptune orbit, as is readily apparent from this model.They can see the overall shape of our solar system through time. This model is a constant depiction of the solar system's main features - the models here are nearly equally accurate for now and for a million years ago. They can readily summarise all the main orbital data in our solar system over centuries into a page showing how the system as a whole relates to the galaxy. Comets could be added to show how they relate to the gas giants regarding distance, ellipticity and period. A logarithmic scale could add the inner planets and the centre of mass, or could just show earth and asteroids with near earth orbits. A three dimensional working model gives the benefit of presentation over time in a single diagram, at the cost of the increased complexity of a helix compared to an ellipse. A simple moving two dimensional elliptical model of the solar system can show the relative speeds of the planets over time, but cannot capture dynamism in a static drawing as this model does. The multi-helix has the advantage of capturing these relative speeds in a single still picture. I think it would be great to use this method for students to build a clear temporal model that would show students both how isolated our system is in the galaxy, and how what seem to be long periods to us, eg Neptune's 162 year period now just coming round since its discovery, are very short compared to universal time scales. As well, the sine wave function is useful in geometry to see how it collapses a cylinder into two dimensions.Once cleaned up it would be an easy way to teach information about the relative motions of the main objects.The solar system is where we live The harmonic relations between the gas giant orbits are intrinsically interesting.For starters, (1) OP diagram two, once refined, captures all the relative positions of the gas giants over 500 years; (2) It can readily be analyzed to see simple repetitive patterns which are not well described by other models, such as the 179 year relation between Jupiter, Saturn and Neptune; and (3) it depicts the main forces operating on the solar system centre of mass, which scribes an exact arc through space.Building the model is a useful way to understand the relative dimensions of the solar system. To build the simple pictures here, I started to work out how to draw a spring using excel, and found that I had to also use paint, and then I had to work out how much to stretch the first Jupiter spring to get the others. CAD software could present this very well.Who ever is interested in solar system celestial mechanicsTo help understand our physical place in the cosmos.