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I want a clickable 3-circle Venn diagram (in a box labeled U), where I can shade each region by clicking. I have googled "venn diagram maker free online" and looked at about a dozen of these sites. Many want me to sign in, which should not be necessary. None of the others are what I want.

If I knew how to program websites, maybe I could make my own.

Does anyone know of a site like this?

I want to be able to make lots of diagrams, all in the same style, for teaching, quizzes, and tests. Basically, I just want to be able to click which regions will be shaded (also being able to label the circles would be nice, they usually need to be A, B, C). I'd like two circles on top and one below, because that's how the diagrams are in the text I'm using (discrete math).

[A year or two ago, I was trying to make my own on drawing sites. Those had issues too. On many, the overlapping circles hid each other. On many I could only shade a whole circle. A drawing site that makes this easy would be just as helpful as a dedicated venn-diagram-maker.]

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    $\begingroup$ tex.stackexchange.com/a/266395/249220 $\endgroup$
    – Steven Gubkin
    Aug 3, 2022 at 21:26
  • $\begingroup$ I should have been looking in a different SE site, I see. However, I might have a steep learning curve figuring out how to use these. I have a 2nd related goal, which would be to randomize which of the diagrams is chosen, within MyOpenMath. I was going to post that question there, but if someone here knows MoM, I would love a tutor... $\endgroup$
    – Sue VanHattum ♦
    Aug 3, 2022 at 22:18

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Here's something I made in Desmos to this effect. While you cannot click the regions themselves to fill them, you can enable or disable the region by clicking the corresponding folder on the left sidebar to fill the regions.

Edit: I forgot that Actions are a thing on Desmos! I rebuilt it to have clickable regions based off of Michał Miśkiewicz's fantastic work. Check out the new clickable version here.

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    $\begingroup$ That is wonderful! It was very easy for me to modify it. I changed colors, the placement of set C's circle, and the label positions. And I added a U (for the universal set). Here's my modification of your lovely work: desmos.com/calculator/7p0jgbohdb And, having it here on MESE means that I'll be able to find it if I lose track of it. $\endgroup$
    – Sue VanHattum ♦
    Aug 4, 2022 at 5:06
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    $\begingroup$ You're very welcome, Sue! I have a lot of fun building stuff in Desmos, so I was happy to do it. Glad you got it sorted out the way you want. It looks great. A name credit would be much appreciated :) Please feel free to reach out if you ever have similar type questions in the future. I'd be happy to help. $\endgroup$
    – Cameron Williams
    Aug 4, 2022 at 6:29
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    $\begingroup$ Just for fun, I made my own Desmos diagram to give an example of how to make the regions clickable. I hope you enjoy it. desmos.com/calculator/0su2xnamok $\endgroup$
    – Michał Miśkiewicz
    Aug 4, 2022 at 12:51
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    $\begingroup$ @SueVanHattum I rebuilt it based on what you wanted and the excellent work by Michał Miśkiewicz. $\endgroup$
    – Cameron Williams
    Aug 4, 2022 at 17:10
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    $\begingroup$ @MichałMiśkiewicz Fantastic work. I rebuilt mine based on what you did. $\endgroup$
    – Cameron Williams
    Aug 4, 2022 at 17:11
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To summarize:

@CameronWilliams' work gave me what I needed to make all the images I wanted. I am using this on desmos for that purpose.

I used those images to make a randomized problem in MyOpenMath. It's problem #990768, if you'd like to use it. (I'm using it in a quiz.)

And to help students learn more before the quiz, I point them to this geogebra page.

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