Comments for Tanya Khovanova's Math Blog
https://blog.tanyakhovanova.com
Mathematics, applications of mathematics to life in general, and my life as a mathematician.Fri, 01 Dec 2023 13:01:59 +0000
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Comment on Funny Pictures by Greg
https://blog.tanyakhovanova.com/2008/07/funny-pictures/#comment-13852
Fri, 01 Dec 2023 13:01:59 +0000https://blog.tanyakhovanova.com/?p=37#comment-13852This picture is cool in many ways
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Comment on Polyomino Cutting by Ali Mohammadinia
https://blog.tanyakhovanova.com/2023/11/polyomino-cutting/#comment-13851
Thu, 30 Nov 2023 14:16:58 +0000https://blog.tanyakhovanova.com/?p=1969#comment-13851■■□□□□
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Comment on Polyomino Cutting Solution by lvps1000vm
https://blog.tanyakhovanova.com/2023/11/polyomino-cutting-solution/#comment-13850
Thu, 30 Nov 2023 13:30:46 +0000https://blog.tanyakhovanova.com/?p=1988#comment-13850If someone wants more of it, the Math+ calendar from 2019 has four more polyomino cuts like this one: https://www.mathekalender.de/wp/wp-content/uploads/2021/07/MK-2019-Solutions-en.pdf
(Challenge 24-Sawmill on page 140)
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Comment on Polyomino Cutting by Tanya Khovanova's Math Blog » Blog Archive » Polyomino Cutting Solution
https://blog.tanyakhovanova.com/2023/11/polyomino-cutting/#comment-13849
Thu, 30 Nov 2023 01:27:53 +0000https://blog.tanyakhovanova.com/?p=1969#comment-13849[…] recently posted the following polyomino puzzle, and my readers are asking for a […]
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Comment on A Quadrilateral in a Rectangle by Lazar Ilic
https://blog.tanyakhovanova.com/2023/11/a-quadrilateral-in-a-rectangle/#comment-13848
Wed, 29 Nov 2023 09:54:33 +0000https://blog.tanyakhovanova.com/?p=1985#comment-13848If a diagonal is parallel then it follows by drawing the triangles and bh/2 area splitting each subrectangle in half. The other direction follows from a relatively simple smoothing argument. If BD is not parallel then the area function is monotone and nonconstant linear as we shift point A along its edge and in particular obtains its unique 1/2 valuation when AC is parallel. More formally this can be observed in the literal definitional derivative d/da of the area (a*(1-b)+b*(1-c)+c*(1-d)+d*(1-a))/2 in terms of their locations along their respective edges.
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Comment on How Many Cows Are Left? by Leo B.
https://blog.tanyakhovanova.com/2023/11/1982/#comment-13847
Tue, 28 Nov 2023 23:30:41 +0000https://blog.tanyakhovanova.com/?p=1982#comment-13847The wording is confusing, indeed. It is not clear that “how many are left” refers to live cows. Perhaps it’s the one which died is left lying dead, and the remaining nine went to greener pastures.
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Comment on How Many Cows Are Left? by George R.
https://blog.tanyakhovanova.com/2023/11/1982/#comment-13846
Thu, 23 Nov 2023 06:45:00 +0000https://blog.tanyakhovanova.com/?p=1982#comment-13846
(And what if Ten is also a name?…)]]>And what if Peter is the mother-cow? Ten is left in this case…😊
(And what if Ten is also a name?…🤔)
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Comment on EvenQuads at PRIMES STEP by tanyakh
https://blog.tanyakhovanova.com/2023/11/evenquads-at-primes-step/#comment-13845
Wed, 22 Nov 2023 17:33:23 +0000https://blog.tanyakhovanova.com/?p=1980#comment-13845Thomas, a projective set is alson known as Socks

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Comment on EvenQuads at PRIMES STEP by Thomas
https://blog.tanyakhovanova.com/2023/11/evenquads-at-primes-step/#comment-13844
Wed, 22 Nov 2023 12:45:38 +0000https://blog.tanyakhovanova.com/?p=1980#comment-13844Another fun extension of the Set idea is https://boardgamegeek.com/boardgame/198493/projective-set
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Comment on Whitehead Links for Ukraine by Tanya Khovanova's Math Blog » Blog Archive » Solomon’s Knot
https://blog.tanyakhovanova.com/2022/05/whitehead-links-for-ukraine/#comment-13843
Sun, 19 Nov 2023 20:27:49 +0000https://blog.tanyakhovanova.com/?p=1633#comment-13843[…] So far, it looks like the linking number grows with the crossing number. Here is where my favorite link, the Whitehead link, comes in. It breaks the previous pattern. It has the crossing number of 5, so it is slightly more complex than Solomon’s link. But its linking number is zero, which is unusual for a linked link. In fact, the Whitehead link is the simplest linked link with the linking number zero, but I already wrote about it in my post Whitehead Links for Ukraine. […]
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