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were posted there s no way the difference is statistically significant but here s the may 2022 pieces ranked most popular to least reading the comics may 7 2022 does comic strip master command not do mathematics anymore edition how april 2022 treated my mathematics blog something neat about triangles again about chances of winning on the price is right again wordpress figures i started the month with a grand total of 1 714 posts these all together drew 3 319 comments and 161 316 page views from 97 265 recorded unique visitors it also figures my average post for the month had 876 words in it bringing my average post for the year 2022 down to 1 037 words per posting i ve managed to put together 40 451 words so far this year this surprises me by being close to half what i ve managed on my humor blog where i post every day there i have several regular columns such as story comic plot summaries that are popular and relatively easy to write having said all that will this look at may s figures affect my writing any i do think i have enough comic strips for a post that should be next wednesday at least if comic strip master command works with me there could be more but this all will depend on my emotional and energy reserves some of my faithful readers may wonder am i preparing to say something sad about this year s a to z i m not prepared to say not yet what i am is thinking about whether i want to commit to such a big hard project i am aware how much it would tax me to do and while i would like to have it done there is so much doing to get there it will depend on how june treats me kindly share this email a link to a friend opens in new window email print opens in new window print share on x opens in new window x more share on facebook opens in new window facebook share on linkedin opens in new window linkedin share on pinterest opens in new window pinterest share on reddit opens in new window reddit share on telegram opens in new window telegram share on tumblr opens in new window tumblr share on whatsapp opens in new window whatsapp like loading author joseph nebus posted on wednesday 1 june 2022 wednesday 8 june 2022 categories math mathematics maths meta tags 2022 may popularity readership wordpress 1 comment on how may 2022 treated my mathematics blog about chances of winning on the price is right again while i continue to wait for time and muse and energy and inspiration to write fresh material let me share another old piece this bit from a decade ago examines statistical quirks in the price is right game shows offer a lot of material for probability questions the specific numbers have changed since this was posted but the substance hasn t i got a bunch of essays out of one odd incident mentioned once on the show and let me do something useful with that now to the serious game show fans yes i am aware that the item up for bid is properly called the one bid i am writing for a popular audience the name one bid comes from the original 1950s run of the show when the game was entirely about bidding for prizes a prize might have several rounds of bidding or might have just the one and that format is the one used for the item up for bid for the current 1972 present show putting together links to all my essays about trapezoid areas made me realize i also had a string of articles examining that problem of the price is right with drew carey s claim that only once in the show s history had all six contestants winning the item up for bids come from the same seat in contestants row as with the trapezoid pieces they form a more or less coherent whole so let me make it easy for people searching the web for the likelihood of clean sweeps or of perfect games on the price is right to find my thoughts continue reading about chances of winning on the price is right again kindly share this email a link to a friend opens in new window email print opens in new window print share on x opens in new window x more share on facebook opens in new window facebook share on linkedin opens in new window linkedin share on pinterest opens in new window pinterest share on reddit opens in new window reddit share on telegram opens in new window telegram share on tumblr opens in new window tumblr share on whatsapp opens in new window whatsapp like loading author joseph nebus posted on wednesday 25 may 2022 wednesday 25 may 2022 categories math mathematics maths probability recreational mathematics tags drew carey game shows matlab octave probability the price is right tv 1 comment on about chances of winning on the price is right again something neat about triangles again i apologize for not having anything fresh to share today it s been a difficult week one of many so i would like to share something from years ago and something i still find delightful i was reading a biography of donald coxeter one of the most important geometers of the 20th century and it mentioned in passing something coxeter referred to as morley s miracle theorem the theorem was proved in 1899 by frank morley who taught at haverford college if that sounds vaguely familiar that s because you remember it s where dave barry went and then johns hopkins which may be familiar on the strength of its lacrosse team and published this in the first issue of the transactions of the american mathematical society and yes perhaps it isn t actually important but the result is so unexpected and surprising that i wanted to share it with you the biography also includes a proof coxeter wrote for the theorem one that s admirably straightforward but let me show the result without the proof so you can wonder about it first start by drawing a triangle it doesn t have to have any particular interesting properties other than existing i ve drawn an example one the next step is to cut into three equal pieces each of the interior angles of the triangle and draw those lines i m doing that in separate diagrams for each of the triangle s three original angles because i want to better suggest the process i should point out this trisection of the angles can be done however you like which is probably going to be by measuring the angles with a protractor and dividing the angle by three i made these diagrams just by sketching them out so they aren t perfect in their measure but if you were doing the diagram yourself on a sheet of scratch paper you wouldn t bother getting the protractor out either and famously you can t trisect an angle if you re using just compass and straightedge to draw things but you don t have to restrict yourself to compass and straightedge for this now the next bit is to take the points where adjacent angle trisectors intersect that is for example where the lower red line crosses the lower green line where the upper red line crosses the left blue line and where the right blue line crosses the upper green line draw lines connecting these points together and this new triangle drawn in purple on my sketch is an equilateral triangle it may look a little off but that s because i didn t measure the trisectors when i drew them in and just eyeballed it if i had measured the angles and drawn the new ones in carefully it would have been perfect i ve been thinking back on this and grinning ever since reading it i certainly didn t see that punch line coming kindly share this email a link to a friend opens in new window email print opens in new window print share on x opens in new window x more share on facebook opens in new window facebook share on linkedin opens in new window linkedin share on pinterest opens in new window pinterest share on reddit opens in new window reddit share on telegram opens in new window telegram share on tumblr opens in new window tumblr share on whatsapp opens in new window whatsapp like loading author joseph nebus posted on wednesday 18 may 2022 wednesday 18 may 2022 categories geometry math mathematics maths tags american mathematical society coxeter dave barry donald coxeter geometry surprises triangles 1 comment on something neat about triangles again reading the comics may 7 2022 does comic strip master command not do mathematics anymore edition i mentioned in my last reading the comics post that it seems there are fewer mathematics themed comic strips than there used to be i know part of this is i m trying to be more stringent you don t need me to say every time there s a roman numerals joke or that blackboards get mathematics symbols put on them still it does feel like there s fewer candidate strips maybe the end of the 2010s was a boom time for comic strips aimed at high school teachers and i only now appreciate that only further installments of this feature will let us know jim benton s jim benton cartoons for the 18th of april 2022 suggests an origin for those famous overlapping circle pictures this did get me curious what s known about how john venn came to draw overlapping circles there s no reason he couldn t have used triangles or rectangles or any shape after all it looks like the answer is nobody really knows venn himself didn t name the diagrams after himself wikipedia credits charles dodgson lewis carroll as describing venn s method of diagrams in 1896 clarence irving lewis in 1918 seems to be the first person to write venn diagram venn wrote of them as eulerian circles referencing the leonhard euler who just did everything sir william hamilton the philosopher not the quaternions guy posthumously published the lectures on metaphysics and logic which used circles in these diagrams hamilton asserted correctly that you could use these to represent logical syllogisms he wrote that the 1712 logic text nucleus logicae weisianae predating euler used circles and was right about that he got the author wrong crediting christian weise instead of the correct author johann christian lange jim benton s jim benton cartoons for the 18th of april 2022 although i didn t have a tag for jim benton cartoons before i have discussed them a couple times future essays mentioning jim benton cartoons should be at this link with 1712 the trail seems to end to this lay person doing a short essay s worth of research i don t know what inspired lange to try circles instead of any other shape my guess unburdened by evidence is that it s easy to draw circles especially back in the days when every mathematician had a compass i assume they weren t too hard to typeset at least compared to the many other shapes available and you don t need to even think about setting them with a rotation the way a triangle or a pentagon might demand but i also would not rule out a notion that circles have some connotation of perfection in having infinite axes of symmetry and all points on them being equal in distance from the center and such might be the reasons fit in the intersection of the ethereal and the mundane daniel beyer s long story short for the 29th of april 2022 this and other essays mentioning long story short should be at this link daniel beyer s long story short for the 29th of april 2022 puts out a couple of concepts from mathematical physics these are all about geometry which we now see as key to understanding physics particularly cosmology the no boundary proposal is a model constructed by james hartle and stephen hawking it s about the first seconds of the universe after the big bang this is an era that was so hot that all our well tested models of physical law break down the salient part of the hartle hawking proposal is the idea that in this epoch time becomes indistinguishable from space if i follow it do not rely on my understanding for your thesis defense it s kind of the way that stepping away from the north pole first creates the ideas of north and south and east and west it s very hard to think of a way to test this which would differentiate it from other hypotheses about the first instances of the universe the weyl curvature is a less hypothetical construct it s a tensor one of many interesting to physicists this one represents the tidal forces on a body that s moving along a geodesic so for example how the moon of a planet gets distorted over its orbit the weyl curvature also offers a way to describe how gravitational waves pass through vacuum i m not aware of any serious question of the usefulness or relevance of the thing but the joke doesn t work without at least two real physics constructs as setup liniers macanudo for the 5th of may 2022 essays about some topic mentioned in macanudo should be at this link liniers macanudo for the 5th of may 2022 has one of the imps who inhabit the comic asserting responsibility for making mathematics work it s difficult to imagine what a creature could do to make mathematics work or to not work if pressed we would say mathematics is the set of things we re confident we could prove according to a small pretty solid seeming set of logical laws and a somewhat larger set of axioms and definitions few of these are proved completely but that s because it would involve a lot of fiddly boring steps that nobody doubts we could do if we had to if this sounds sketchy consider do you believe my claim that i could alphabetize the books on the shelf to my right even though i ve never done that specific task why it would be like making a word search puzzle not work the punch line the blue imp counting seventeen of the orange imp suggest what this might mean mathematics as a set of statements following some rule is a niche interest what we like is how so many mathematical things seem to correspond to real world things we can imagine mathematics breaking that connection to the real world the high temperature rising one degree each day this week may tell us something about this weekend but it s useless for telling us about november so i can imagine a magical creature deciding what mathematical models still correspond to the thing they model be careful in trying to change their mind and that s as many comic strips from the last several weeks that i think merit discussion all of my reading the comics posts should be at this link though and i hope to have a new one again sometime soon i ll ask my contacts with the cartoonists i have about half of a contact kindly share this email a link to a friend opens in new window email print opens in new window print share on x opens in new window x more share on facebook opens in new window facebook share on linkedin opens in new window linkedin share on pinterest opens in new window pinterest share on reddit opens in new window reddit share on telegram opens in new window telegram share on tumblr opens in new window tumblr share on whatsapp opens in new window whatsapp like loading author joseph nebus posted on wednesday 11 may 2022 wednesday 11 may 2022 categories comic strips math mathematics maths physics tags cosmology jim benton long story short macanudo mathematics history philosophy venn diagrams 1 comment on reading the comics may 7 2022 does comic strip master command not do mathematics anymore edition how april 20...