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Venn Diagram for 7 Sets

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31–40 of 48 posts

Re: Venn Diagram for 7 Sets

#31

I wonder why when swipeing between the two sides of the disc it always appears convex from the currently viewed side, but flat when viewed edge on. Anyone knows what could cause this?

I think it's to avoid having two sets of data points. I think the "view angle" affects the "convex amount" so that edge-view = flat and all other viewing angles "bump" the data points a little bit to give the "convex" look.

Re: Venn Diagram for 7 Sets

#33

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.

Re: Venn Diagram for 7 Sets

#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?

Re: Venn Diagram for 7 Sets

#37
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?

Re: Venn Diagram for 7 Sets

#38
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?

I have normal vision. I wouldn't say completely identical when they are side-by-side, but they are very close. It's effectively impossible to discriminate them when they are not side-by-side, which for this plot is very important.

The author's mistake was this: "[my colors] are equidistant in the hue circle". The problem is that the hue circle (at least under the parameterization scheme he used) is not uniform over discrimination, i.e., the ability to discriminate two hues is not invariant under displacing them an equal amount along the circle. (I presume this is one of those situation where it's misleading to think about three primary colors on equal footing because of quirks of human vision biology.)

First, the author could have chosen 7 hues at max-saturation that were easier to discriminate than this. But more importantly, he should have used the other color axes: saturation and brightness. dark red (~maroon) and light red (~pink) are a lot easier to discriminate, even when not next to each other, than the two shades of green he used.

Re: Venn Diagram for 7 Sets

#39
post #33

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.

The three lightgray circles in the examples are the empty set.

Re: Venn Diagram for 7 Sets

#40

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...

TIL about upset plots. Really cool! Venn is already unwieldy at three sets, but four is not really doing the job of communicating the set inclusion clearly. Seven is just a geometric curiosity.
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