As discussed elsewhere in these fora, the relationship between analysis, creativity, and tools is a neat dynamic. One of the kinds of jobs I have taken on in the last decade or so is to add material to legacy texts to keep them profitable. For engineering material, old texts often involve complex figures on paper. In decades past, students might spend significant time learning to read and interpret such figures. Translating those figures for simple use on a screen is probably really boring to a lot of people, but for me it is a neat challenge simply because I have an adequate toolkit for the job and a tolerance for the associated tedium.
To illustrate the idea, I offer two cases popular in chemical and mechanical engineering curricula of yore: (1) reading a generalized compressibility chart to quantitatively assess deviations from ideal-gas behavior and (2) reading a so-called psychrometric chart to get the physical properties of humid air.
The Nelson-Obert generalized compressibility charts (L. C. Nelson and E. F Obert, Generalized Compressibility Charts, Chem. Eng. 61:203 (1954)) have been useful in education well beyond their practical utility in design calculations; for the later, complex equations of state are easier to use and more accurate and precise than charts. However, the qualitative behavior of such equations is not readily accessible to the novice.
You may view the 1954 charts here: http://eon.sdsu.edu/testhome/Test/solve/basics/tables/tablesRG/zNO.html
You may recall from readings in chemistry or physics that the van der Waals equation explains deviations from ideal-gas behavior with two parameters: a volume correction and a pressure correction representing a rigid volume and an attractive potential respectively. Those parameters are reflected in the z < 1 and z > 1 values in the compressibility charts. Such charts provide access to observed behaviors that may not be obvious from quadratic or cubic equations of state.
To translate such a figure to an interactive version, first digitize and fit all curves. Cubic splines are useful for fitting, but many techniques will suffice. After that, one needs an interpolation scheme to estimate values between the parametric curves. Examining whether to interpolate in p or 1/p or p3 , etc. is useful for achieving the best behavior. One can then display the outcome in a tool like GeoGebra (You may interact with the result here: https://www.geogebra.org/m/d7e3yuej) and spend time optimizing the interface for accessibility. That sort of interactive display allows greater precision and accuracy in reading figures.
The second example is the psychrometric chart which displays dry-bulb temperature, wet-bulb temperature, dew point, enthalpy, humid volume, and absolute humidity of humid air.
In this case, all quantities can be calculated at atmospheric pressure with ideal-gas behavior. It is just tedious. Nonetheless, a tool like GeoGebra enables an interactive figure; students can then use the figure without mastering the calculations (You may interact with the result here: https://www.geogebra.org/m/tjsg8dpz).
Even these days though, when I feel a bit of aimless creativity coming on, I sometimes yearn for a transparent straight edge and a large piece of paper.