How many ways can circles overlap? - Numberphile

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NUMBERPHILE

Videos by Brady Haran
Animation by Pete McPartlan

  1. Numberphile
  2. numberphile
  3. circles
  4. overlap
  5. intersection
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Комментарии
Автор

Continuously transitioning between the 16951 combinations of 5 circles could make for a nice screensaver

levaChier
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4:34 I like how Neil whispers really gently here, as if to not disturb the very fragile circle arrangements

jacefairis
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Today I'm sleeping early
3 am:
_in how many ways can circles overlap_

henriquesucupira
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4:38 *whispers* "Look at these. This is a very delicate...configuration..."

AbovetheLoft
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Did NOT at all expect hear that my classical sonata form professor is actually the goat of geometry!!! Very fascinating and I’m now even more a fan of Prof. Wild

ericorosz
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“Jonathan wild took this series out to 5”
Oh that’s actually not that impress-
“3: 14, 4: 173, 5: 16, 951”
Oh never mind

physchy
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The 4 Audi and 5 Olympic rings cannot be formed because of copyright violations.

NANICU
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Dr Sloane has one of those wonderfully relaxing-yet-compelling voices that are just ideal for podcasts.

crashmancer
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I like how this video went full circle.

reallycool
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"This cannot be realized by circles, it can be realized with ellipses"

Time to recalculate all of these numbers but where ellipses are allowed

omerd
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"I want to tell you about a really lovely problem..." Well I was doing something else, really, but now i'm going to stop and listen to this amazing man.

rcb
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4:30 sounding like a mathematical Attenborough

iennternet
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Well you have a _soft_ lower bound for 6. It's just 5's count.

AstroTibs
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Whispers "this is very delicate" as if speaking loudly will blow the circles away. Lol

samsulh
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This is pure asmr. With the added bonus its really interesting

KINGLADUDU
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Neil Sloane. Always interesting stuff.
The man always has a way of pulling me into something I would not otherwise find interesting. A lot of passion there.

PaulMab
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I love Neil's passion for mathematics and his joy in showing us some of it. But for this video, the comments are just as gold.

timweydert
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"The answer for one circle is one. For two circles, three ways. What about three circles?"
Me: Oh no, it's TREE(3), isn't it?

usageunit
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@8:19 I see a triangle and a hexagon wearing a bikini.

PhilippeCarphin
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This is one of my favorite videos in a long time. Very beautiful.

trevorcastle