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Function Warping

Audience:

This little explainer shows how, instead of graphing a function directly to the x-axis, one can first graph an auxiliary axis function, and then graph a warped function (a misnomer as most likely, our warped function is not a function) onto that. While this doesn't really involve any hard hitting mathematics, I found the concept neat and wanted to share it with the world.

https://morphthesworph.github.io/projects/FunctionWarping

Analytics

3.43 Overall score*

70 Rank

4 Votes

3 Comments

Comments

3.4

The choice of background makes it very hard to read the blogpost. It even takes away the ability to read the charts for me.

3.5

An easy but significant improvement would be to start with the visualization of what a warped function is rather than the TLDR formula and its explanation. Currently, I think most people would be confused about what you meant and then scared away by the math (that really does need visuals in this case), before reaching the real explanation of what’s going on. This is a novel idea and I liked the visualization with a slider—it was fun to see the warped function plotted in real time. However, there is no motivation presented and I think the clarity could use work.

Parametric functions have many applications. One useful example is drawing the center-line of a road and calculating the locations of the edges of lanes keeping the width constant as the road curves. The equations of the parallel curves are surprisingly complex even if the center-line equation is simple.