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Hilbert's Hotel

Gleamings from the Infinite Inn of Mathematics

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Hilbert's Hotel | hilhotel.blogspot.com Reviews
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Hilbert's Hotel | hilhotel.blogspot.com Reviews

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Gleamings from the Infinite Inn of Mathematics

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1

Hilbert's Hotel: December 2007

http://hilhotel.blogspot.com/2007_12_01_archive.html

Gleamings from the Infinite Inn of Mathematics. Thursday, December 13, 2007. One of the items I find in the comics area of my newspaper, the Richmond Times-Dispatch. Today I found another questionable cartoon. It consists of this arrangement of dots:. TRICKY TRIANGLES. How many triangles can you make by connecting three dots at a time? Connected triangles can count as larger triangles. Ans: There are 24 possible triangles. 8*7*6)/(1*2*3) (since the 1*2*3*4*5's cancel). Here are some possible triangles:.

2

Hilbert's Hotel: July 2007

http://hilhotel.blogspot.com/2007_07_01_archive.html

Gleamings from the Infinite Inn of Mathematics. Monday, July 09, 2007. Just today I received in the mail a book written by Philip Riley and Laura Taalman. I call this game Sodoko, and I would like to show why I call it that and show an interesting symmetry; in particular, for each Sodoko puzzle, there is another Sodoko puzzle that looks completely different, yet is essentially the same puzzle; I call this the "dual puzzle". How about the requirement that each color has one and only one of each digit?

3

Hilbert's Hotel: July 2013

http://hilhotel.blogspot.com/2013_07_01_archive.html

Gleamings from the Infinite Inn of Mathematics. Sunday, July 14, 2013. A passitaround has recently occurred on Facebook that runs, with variations, something like this:. March 2013 will include five Fridays, five Saturdays, and five Sundays, a phenomenon that occurs only once every 823 years. Is this true or not? The formula of my last post can help with this. First of all, what does a month look like if it has five of each of those three weekdays? W = Y M D (mod 7). 5 = Y (mod 7). Note that each column ...

4

Hilbert's Hotel: Find the Right Date

http://hilhotel.blogspot.com/2013/07/find-right-date.html

Gleamings from the Infinite Inn of Mathematics. Thursday, July 04, 2013. Find the Right Date. Many times people ask questions about dates, since dates are not readily obvious. Some of these questions might be:. In what years is the Fourth of July on a Wednesday? In what months this year is the 13th of the month on a Friday? When is the third Thursday of August, 2013? On what day of the week was 1969 July 20? On what day of the month is the next Sunday after 2013 March 27? W = Y M D (mod 7). February(comm...

5

Hilbert's Hotel: Marilyn Vos Savant's Even and Odd Game

http://hilhotel.blogspot.com/2011/10/marilyn-vos-savants-even-and-odd-game.html

Gleamings from the Infinite Inn of Mathematics. Sunday, October 16, 2011. Marilyn Vos Savant's Even and Odd Game. On 2011 October 16, Marilyn Vos Savant proposed a simple game:. As children, my siblings and I often settled a disagreement with a game called. Evens and Odds." In this game, one side is assigned "evens" and the other is. Assigned "odds". Then on the count of three, a representative of each side reveals. A number of fingers from zero to five. If the sum of the two numbers is even,. Who has th...

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Hilbert's Hotel

Gleamings from the Infinite Inn of Mathematics. Sunday, July 14, 2013. A passitaround has recently occurred on Facebook that runs, with variations, something like this:. March 2013 will include five Fridays, five Saturdays, and five Sundays, a phenomenon that occurs only once every 823 years. Is this true or not? The formula of my last post can help with this. First of all, what does a month look like if it has five of each of those three weekdays? W = Y M D (mod 7). 5 = Y (mod 7). Note that each column ...

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