Talk:Pizza theorem

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WikiProject Mathematics (Rated C-class, Low-priority)
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Mathematics rating:
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 Field:  Geometry

Illustration[edit]

The only request I have for this otherwise delicious article is that the illustration be rendered in less hectic colours. Grey and white, say. Thore Husfeldt (talk) 19:23, 21 December 2009 (UTC)

I agree. I think some amount of color is not bad but it should be more muted. The illustration should be redone in svg format in any case. It would probably also be worth checking with someone color-blind whether the colors of the illustration can be distinguished from each other (though if one is significantly darker than the other, that shouldn't be a problem). We could combine both the eight and twelve sector subdivisions into a single side-by-side image and save a lot of space; perhaps we could use the saved space to add a picture of some actual pizza (there are plenty on commons: commons:Category:Pizza). —David Eppstein (talk) 19:59, 21 December 2009 (UTC)
Here is a grey-and-white SVG version. — Miym (talk) 20:00, 21 December 2009 (UTC)
Two different versions. — Miym (talk) 20:14, 21 December 2009 (UTC)
Pizza-theorem-8.svg Pizza-theorem-8-b.svg
Actually personally I prefer a (somewhat) colored version though it doesn't have to be the current colors. As far as as additional pictures are concerned the article currently has enough text allowing us to add some without causing an unpleasant layout, therefore i think there is no need to combine pictures for saving space. Aside from an additional real pizza picture we possibly could an illustration for some generalizations as well. I will upload some SVG-version later on (in particular for the 12 sector case that is still missing). Another option might be to add numbers to the illustrations as well, then the illustrations will be more in sync with numbering scheme used in the article.--Kmhkmh (talk) 23:08, 21 December 2009 (UTC)

The green and blue areas in the second example are not equal: the angles are not equal. —Preceding unsigned comment added by 69.137.59.41 (talk) 11:59, 24 December 2009 (UTC)

I will the replace the pictures soon by excactly computed ones.--Kmhkmh (talk) 13:20, 24 December 2009 (UTC)
The colors on the blue-green one were at least calmer, but I undid that change because of its geometric inaccuracy. I don't think the purple-yellow one is any less hectic than the orange-green. —David Eppstein (talk) 17:09, 24 December 2009 (UTC)

Additional Referances[edit]

There is a joke that is commonally referred to as the second pizza theorem. If a pizza has thickness a and radius z, then its volume is pi z z a.

Is this worth including in the article? — Preceding unsigned comment added by 118.209.196.222 (talk) 13:11, 18 February 2012 (UTC)

That doesn't seem to have any relevance to the pizza theorem mention in this article. Dmcq (talk) 16:42, 18 February 2012 (UTC)
But it has the same name. 41.45.88.169 (talk) 18:36, 29 November 2012 (UTC)
Please see WP:NOTDICT. If different subjects happen to have the same name, they should go in different articles (if both are notable). —David Eppstein (talk) 23:59, 29 November 2012 (UTC)

Intro, Angle Between Slices[edit]

In the second paragraph of the introduction it says "Form n sectors of the disk with equal angles by choosing an arbitrary line through p, rotating the line n/2 − 1 times by an angle of π/n radians, ...". Shouldn't the line be rotated by an angle of 2π/n radians? This way if you were to rotate it one more time you would have gone through an angle of 2π/n × n/2 = π radians, which would take you back to the other side of the line you started off with, (which is what you want).

I didn't know how to edit the intro directly since there is no edit option for the intro. — Preceding unsigned comment added by 24.216.69.149 (talk) 21:41, 18 August 2012 (UTC)

Fixed, thanks. You can either start editing another section and then change the url to section=0, or edit the whole page using the "Edit" tab on the top right. —David Eppstein (talk) 22:06, 18 August 2012 (UTC)