Today's Google Banner
Has anyone else on this list enjoyed today's Google Banner? It includes: The celestial sphere Two Platonic solids The relationship... Vertices - Edges + Faces = 2 [This doesn't hold in pathological cases by the way!] The Seven-Bridges-of-Konigsberg problem A state diagram An argand diagram The relationship -1 = e^(i.pi) Frank King Cambridge, UK --- https://lists.uni-koeln.de/mailman/listinfo/sundial
Today's Google Banner - More
I should, of course, have added: Happy Birthday to Leonhard Euler 306 years old today and still going strong! It is a happy coincidence that he should have been born on the day that the Equation of Time changes sign. Frank King Cambridge, UK --- https://lists.uni-koeln.de/mailman/listinfo/sundial
Re: Today's Google Banner - More
Dear Frank, The EoT might change sign on Euler's 306th birthday but I very much doubt (without checking!) that the changeover was the same on the date of his birth! Regards, John -- Dr J Davis Flowton Dials --- On Mon, 15/4/13, Frank King frank.k...@cl.cam.ac.uk wrote: From: Frank King frank.k...@cl.cam.ac.uk Subject: Today's Google Banner - More To: sundial@uni-koeln.de sundial@uni-koeln.de Date: Monday, 15 April, 2013, 9:29 I should, of course, have added: Happy Birthday to Leonhard Euler 306 years old today and still going strong! It is a happy coincidence that he should have been born on the day that the Equation of Time changes sign. Frank King Cambridge, UK --- https://lists.uni-koeln.de/mailman/listinfo/sundial --- https://lists.uni-koeln.de/mailman/listinfo/sundial
Re: Today's Google Banner - More
Dear John, Tee hee... The EoT might change sign on Euler's 306th birthday but I very much doubt (without checking!) that the changeover was the same on the date of his birth! I did wonder about that and hoped no one would query it!!! According to the NOAA Solar Calculator, the changeover on 15 April 1707 was about 19h GMT. He was born in Basel and I think they went over to the Gregorian Calendar in 1700/01. We were still Julian of course. Of course Basel is about half an hour ahead of Greenwich but this wouldn't shift the changeover date. I very much look forward to being corrected on several fronts by all the experts on this list! Frank --- https://lists.uni-koeln.de/mailman/listinfo/sundial
Re: Today's Google Banner
The Konigsberg bridges dilemma is particularly intriguing when explained to the non-mathematicians, I suggest you have a look at this for a thorough explanation http://www.ugr.es/~fmartin/gi/bridges.pdf Alex On 15 April 2013 10:21, Frank King frank.k...@cl.cam.ac.uk wrote: Has anyone else on this list enjoyed today's Google Banner? It includes: The celestial sphere Two Platonic solids The relationship... Vertices - Edges + Faces = 2 [This doesn't hold in pathological cases by the way!] The Seven-Bridges-of-Konigsberg problem A state diagram An argand diagram The relationship -1 = e^(i.pi) Frank King Cambridge, UK --- https://lists.uni-koeln.de/mailman/listinfo/sundial --- https://lists.uni-koeln.de/mailman/listinfo/sundial
Re: Today's Google Banner - More
I just checked using Time Zone Master The sign of the equation of time indeed did change on April 15, 1707 - at very close to 21:00 UT On 2013-04-15 5:03, Frank King wrote: Dear John, Tee hee... The EoT might change sign on Euler's 306th birthday but I very much doubt (without checking!) that the changeover was the same on the date of his birth! I did wonder about that and hoped no one would query it!!! According to the NOAA Solar Calculator, the changeover on 15 April 1707 was about 19h GMT. He was born in Basel and I think they went over to the Gregorian Calendar in 1700/01. We were still Julian of course. Of course Basel is about half an hour ahead of Greenwich but this wouldn't shift the changeover date. I very much look forward to being corrected on several fronts by all the experts on this list! Frank --- https://lists.uni-koeln.de/mailman/listinfo/sundial -- --- https://lists.uni-koeln.de/mailman/listinfo/sundial
RE: Today's Google Banner
Aside from its mathematical interest, the problem has long held a place in my heart, as we have two daughters adopted from Koenigsberg (OK, it's been Kaliningrad since the War, but still the same city.) I've walked one of the bridges and visited Immanuel Kant's cathedral, but didn't have the time to stroll all the paths. Dave Bell _ From: sundial [mailto:sundial-boun...@uni-koeln.de] On Behalf Of Perit Alexei Pace Sent: Monday, April 15, 2013 2:55 AM To: sundial Subject: Re: Today's Google Banner The Konigsberg bridges dilemma is particularly intriguing when explained to the non-mathematicians, I suggest you have a look at this for a thorough explanation http://www.ugr.es/~fmartin/gi/bridges.pdf Alex On 15 April 2013 10:21, Frank King frank.k...@cl.cam.ac.uk wrote: Has anyone else on this list enjoyed today's Google Banner? It includes: The celestial sphere Two Platonic solids The relationship... Vertices - Edges + Faces = 2 [This doesn't hold in pathological cases by the way!] The Seven-Bridges-of-Konigsberg problem A state diagram An argand diagram The relationship -1 = e^(i.pi) Frank King Cambridge, UK --- https://lists.uni-koeln.de/mailman/listinfo/sundial --- https://lists.uni-koeln.de/mailman/listinfo/sundial
Re: Today's Google Banner
According to Google maps there are now only five bridges, although the modern highway using two of them does not appear to have any get-offs. Even so the original problem can still stand. From: Perit Alexei Pace Sent: Monday, April 15, 2013 2:54 AM To: sundial Subject: Re: Today's Google Banner The Konigsberg bridges dilemma is particularly intriguing when explained to the non-mathematicians, I suggest you have a look at this for a thorough explanation http://www.ugr.es/~fmartin/gi/bridges.pdf Alex On 15 April 2013 10:21, Frank King frank.k...@cl.cam.ac.uk wrote: Has anyone else on this list enjoyed today's Google Banner? It includes: The celestial sphere Two Platonic solids The relationship... Vertices - Edges + Faces = 2 [This doesn't hold in pathological cases by the way!] The Seven-Bridges-of-Konigsberg problem A state diagram An argand diagram The relationship -1 = e^(i.pi) Frank King Cambridge, UK --- https://lists.uni-koeln.de/mailman/listinfo/sundial --- https://lists.uni-koeln.de/mailman/listinfo/sundial --- https://lists.uni-koeln.de/mailman/listinfo/sundial
Re: Today's Google Banner
Well, the modern highway bridge at Kaliningrad (Konigsberg) has no vehicular access, but it does have access for walking, so the walking tour of only 5 bridges now could still take place, with the same results. I never realized this was actually a historical place. I thought it was just a math puzzle. Tom Laidlaw From: Dave Bell Sent: Monday, April 15, 2013 7:33 AM To: 'Perit Alexei Pace' ; sundial@uni-koeln.de Subject: RE: Today's Google Banner Aside from its mathematical interest, the problem has long held a place in my heart, as we have two daughters adopted from Koenigsberg (OK, it’s been Kaliningrad since the War, but still the same city.) I’ve walked one of the bridges and visited Immanuel Kant’s cathedral, but didn’t have the time to stroll all the paths. Dave Bell From: sundial [mailto:sundial-boun...@uni-koeln.de] On Behalf Of Perit Alexei Pace Sent: Monday, April 15, 2013 2:55 AM To: sundial Subject: Re: Today's Google Banner The Konigsberg bridges dilemma is particularly intriguing when explained to the non-mathematicians, I suggest you have a look at this for a thorough explanation http://www.ugr.es/~fmartin/gi/bridges.pdf Alex On 15 April 2013 10:21, Frank King frank.k...@cl.cam.ac.uk wrote: Has anyone else on this list enjoyed today's Google Banner? It includes: The celestial sphere Two Platonic solids The relationship... Vertices - Edges + Faces = 2 [This doesn't hold in pathological cases by the way!] The Seven-Bridges-of-Konigsberg problem A state diagram An argand diagram The relationship -1 = e^(i.pi) Frank King Cambridge, UK --- https://lists.uni-koeln.de/mailman/listinfo/sundial --- https://lists.uni-koeln.de/mailman/listinfo/sundial --- https://lists.uni-koeln.de/mailman/listinfo/sundial
RE: Today's Google Banner - More
But why his 306th birthday? What is the significance of 306? Am I missing something obvious? Jack -Original Message- From: sundial [mailto:sundial-boun...@uni-koeln.de] On Behalf Of Frank King Sent: Monday, April 15, 2013 4:30 AM To: sundial@uni-koeln.de Subject: Today's Google Banner - More I should, of course, have added: Happy Birthday to Leonhard Euler 306 years old today and still going strong! It is a happy coincidence that he should have been born on the day that the Equation of Time changes sign. Frank King Cambridge, UK --- https://lists.uni-koeln.de/mailman/listinfo/sundial -- This message has been scanned for viruses and dangerous content by MailScanner, and is believed to be clean. -- This message has been scanned for viruses and dangerous content by MailScanner, and is believed to be clean. --- https://lists.uni-koeln.de/mailman/listinfo/sundial
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Hi Jack, I am with you, cute but so what. I appreciate Google noting Euler's 306th birthday but again so what. I use to appreciate Google and their do no evil philosophy. This is cute but no longer respected in the monetization of searches, links and privacy. Things were better in the old days. O God! methinks it were a happy life To be no better than a homely swain; To sit upon a hill, as I do now, To carve out dials quaintly, point by point, Thereby to see the minutes how they run, How many make the hour full complete; How many hours bring about the day; How many days will finish up the year; How many years a mortal man may live. Shakespeare, Henry VI contemplating battle. Regards Roger Bailey -- From: Jack Aubert j...@chezaubert.net Sent: Monday, April 15, 2013 7:05 PM To: 'Frank King' frank.k...@cl.cam.ac.uk; sundial@uni-koeln.de Subject: RE: Today's Google Banner - More But why his 306th birthday? What is the significance of 306? Am I missing something obvious? Jack -Original Message- From: sundial [mailto:sundial-boun...@uni-koeln.de] On Behalf Of Frank King Sent: Monday, April 15, 2013 4:30 AM To: sundial@uni-koeln.de Subject: Today's Google Banner - More I should, of course, have added: Happy Birthday to Leonhard Euler 306 years old today and still going strong! It is a happy coincidence that he should have been born on the day that the Equation of Time changes sign. Frank King Cambridge, UK --- https://lists.uni-koeln.de/mailman/listinfo/sundial -- This message has been scanned for viruses and dangerous content by MailScanner, and is believed to be clean. -- This message has been scanned for viruses and dangerous content by MailScanner, and is believed to be clean. --- https://lists.uni-koeln.de/mailman/listinfo/sundial - No virus found in this message. Checked by AVG - www.avg.com Version: 2013.0.3272 / Virus Database: 3162/6247 - Release Date: 04/15/13 - No virus found in this message. Checked by AVG - www.avg.com Version: 2013.0.3272 / Virus Database: 3162/6247 - Release Date: 04/15/13 --- https://lists.uni-koeln.de/mailman/listinfo/sundial
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Don't discount the educational value of Google doodles. Someone who had never heard of Euler might be tempted to click on the weird doddle to find out what it was about. Just like all those teeny-boppers (do they still call them that?) who possibly learned about Anne Frank today for the first time. Here's what I posted to CANSPACE about the doodle: https://listserv.unb.ca/cgi-bin/wa?A2=CANSPACE;9605a4e.1304 -- Richard Langley Quoting Roger Bailey rtbai...@telus.net: Hi Jack, I am with you, cute but so what. I appreciate Google noting Euler's 306th birthday but again so what. I use to appreciate Google and their do no evil philosophy. This is cute but no longer respected in the monetization of searches, links and privacy. Things were better in the old days. O God! methinks it were a happy life To be no better than a homely swain; To sit upon a hill, as I do now, To carve out dials quaintly, point by point, Thereby to see the minutes how they run, How many make the hour full complete; How many hours bring about the day; How many days will finish up the year; How many years a mortal man may live. Shakespeare, Henry VI contemplating battle. Regards Roger Bailey -- From: Jack Aubert j...@chezaubert.net Sent: Monday, April 15, 2013 7:05 PM To: 'Frank King' frank.k...@cl.cam.ac.uk; sundial@uni-koeln.de Subject: RE: Today's Google Banner - More But why his 306th birthday? What is the significance of 306? Am I missing something obvious? Jack -Original Message- From: sundial [mailto:sundial-boun...@uni-koeln.de] On Behalf Of Frank King Sent: Monday, April 15, 2013 4:30 AM To: sundial@uni-koeln.de Subject: Today's Google Banner - More I should, of course, have added: Happy Birthday to Leonhard Euler 306 years old today and still going strong! It is a happy coincidence that he should have been born on the day that the Equation of Time changes sign. Frank King Cambridge, UK --- https://lists.uni-koeln.de/mailman/listinfo/sundial -- This message has been scanned for viruses and dangerous content by MailScanner, and is believed to be clean. -- This message has been scanned for viruses and dangerous content by MailScanner, and is believed to be clean. --- https://lists.uni-koeln.de/mailman/listinfo/sundial - No virus found in this message. Checked by AVG - www.avg.com Version: 2013.0.3272 / Virus Database: 3162/6247 - Release Date: 04/15/13 - No virus found in this message. Checked by AVG - www.avg.com Version: 2013.0.3272 / Virus Database: 3162/6247 - Release Date: 04/15/13 --- https://lists.uni-koeln.de/mailman/listinfo/sundial - | Richard B. LangleyE-mail: l...@unb.ca | | Geodetic Research Laboratory Web: http://www.unb.ca/GGE/ | | Dept. of Geodesy and Geomatics EngineeringPhone:+1 506 453-5142 | | University of New Brunswick Fax: +1 506 453-4943 | | Fredericton, N.B., Canada E3B 5A3| |Fredericton? Where's that? See: http://www.fredericton.ca/ | - --- https://lists.uni-koeln.de/mailman/listinfo/sundial