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Venn Diagram for 7 Sets

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Re: Venn Diagram for 7 Sets

#41

Post by irchans »

stogot wrote: post #21
irchans wrote: post #18

I think this 6 set Venn Diagram is nice because I made it. :) http://162.243.213.31/wp-content/uploads/2012/08/Ven3.png

How did you make this? It is nice. Why does the red line have a heart-shaped bounce/curve in the open white space instead of just being round?

Type "Polar plot 6 curves of the form r = (1 + Sin[2^(k - 1) t]/2^(k - 1)) where k =1, 2, .., 6 and t=0 to 2 Pi each curve should be a different color" into ChatGPT5.

https://chatgpt.com/share/690f675d-c340-8013-b598-41fe487b4e...

It has the nice properties that you can do any number of sets (in theory) and all the boundary intersections are either osculating or perpendicular.

Re: Venn Diagram for 7 Sets

#42

Post by bmm6o »

Jaxan wrote: post #33
haritha-j wrote: post #32

For usable diagrams, beyond 3 sets, I always recommend upset plots, I wrote a little piece on them rather recently: https://medium.com/@harithajayasinghe/beyond-venn-diagrams-d...

In all these pictures, the empty set is missing (-: . Of course you could argue that they’re also missing in Venn diagrams, but it’s common to just point on the outside.

One example included the empty set, the other did not. It doesn't always make sense to have it.

Re: Venn Diagram for 7 Sets

#43

Post by qustrolabe »

vitalnodo wrote: post #4

I’m wondering what’s the proper way to draw Venn diagrams. I’ve seen that Graphviz has a “nice to have” mention about them, and there are a few simple JS libraries - mostly for two sets. Here’s also my own attempt using an LLM [1]. But maybe someone knows a more general or robust solution - or a better way to achieve this? In the future, I’d like to be able, for example, to find the intersection between two Venn diag…

https://www.deepvenn.com/

Re: Venn Diagram for 7 Sets

#44

Post by pohl »

fainpul wrote: post #28

Of course nice / "proper" / usable Venn diagrams use only round(-ish) shapes so they are easy to decipher. If you stick to this limitation, you can visualize up to 3 sets in 2D (using circles), 4 sets in 3D (using spheres), then it gets tricky...

Ovals, arguably roundish, can do 4 sets well in 2D.

Re: Venn Diagram for 7 Sets

#45

Post by fainpul »

pohl wrote: post #44
fainpul wrote: post #28

Of course nice / "proper" / usable Venn diagrams use only round(-ish) shapes so they are easy to decipher. If you stick to this limitation, you can visualize up to 3 sets in 2D (using circles), 4 sets in 3D (using spheres), then it gets tricky...

Ovals, arguably roundish, can do 4 sets well in 2D.

Right. I don't find that clear anymore. Seems more like a puzzle to me.

The 3D one works somewhat well if the spheres are translucent and animated.

https://en.wikipedia.org/wiki/Venn_diagram#Extensions_to_hig...

Re: Venn Diagram for 7 Sets

#46

Post by lisper »

bobsmooth wrote: post #37
lisper wrote: post #36

> I decided to use colors rather than numbers or letters to identify each basic set, though I didn't use the same colors Newton did; mine are equidistant in the hue circle. "Lawn green" and "medium spring green" look completely identical to me. Maybe I have a really obscure kind of color blindness?

Those colors are similar but obviously distinct to me. Maybe your monitor is the issue?

I thought of that. I'm on a Macbook Air and initially I had Night Shift on but even after I disabled it I still couldn't tell the difference.

Re: Venn Diagram for 7 Sets

#47

Post by pohl »

Yeah, I know that Upset Plots are a better choice for data visualization — as everyone is pointing out — but take a moment to appreciate this beautiful etude for what it is. This nicely executed. I love how this forced the author into some very difficult choices about how to create a large set of convincingly "mixed" colors — which is a very difficult problem even with just 4 overlapping base colors!

In some sense, they "lucked out" by dealing with a prime number of primary color sets, which helped them avoid having multiple pairs of colors that are directly across the wheel from each other.

Very nicely done. It's fun to play with, and inspiring to study.

Re: Venn Diagram for 7 Sets

#48

Post by bobsmooth »

lisper wrote: post #46
bobsmooth wrote: post #37

Earlier quoted context omitted.

Those colors are similar but obviously distinct to me. Maybe your monitor is the issue?

I thought of that. I'm on a Macbook Air and initially I had Night Shift on but even after I disabled it I still couldn't tell the difference.

Maybe you should take a few color blindness tests.
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