Hello, I am currently trying to make a chessboard on Desmos. Can anyone help me figure out how to make one inequality that shades this whole oval without also shading the part that goes into the oval. I’ve tried playing around with lists a bit, but it hasn’t worked. The dip is made up of 3 lines. I can input the equations for the lines myself, since they are pretty long, and I don’t feel like formatting all three of them. I don’t know how to send a picture, so I’ll just link the graph (Before you say that I can simplify a lot of things, I know, I’ll do that later. Thank you! Bishop | Desmos
What about something like this:
https://www.desmos.com/calculator/vlem6k7qbx
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Yeah, thanks, that works, but could you explain what you did, because I don’t really understand how to work with stuff like this (trig functions(I know what they are and how to use them in geometry, but not in a calculator)).
So, yes …
if you have two value r1 and r2 and you consider the points
(r1 cos t, r2 sin t) for t that varies from 0 to 2pi you get an ellipse.
Instead of considering all the points of the ellipse I considered
only the values t = 2pi u/60 where u is an integer. This way you get an approximation of an ellipse via a polygon.
Then actually instead of using the value 0…60 for u, we skip the values from 10 to 13 and the value from 40 to 50.
Finally we add two specific points to this polygon to make the little cut.
Hope it’s more clear now … but if you have more questions I’m happy to answer.
If you want to find more information, the points using trigonometry with t are parametric coordinates, instead of Cartesian coordinates.
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