tag:blogger.com,1999:blog-899946063697780510.post727083045384879126..comments2024-03-09T04:06:47.712-05:00Comments on Abstract Comics: The Blog: Three mathematical proofsAndrei Molotiuhttp://www.blogger.com/profile/17400106944822618816noreply@blogger.comBlogger13125tag:blogger.com,1999:blog-899946063697780510.post-59859513011236483492013-02-26T04:47:03.112-05:002013-02-26T04:47:03.112-05:00Mark: I don't think I'll be able to come t...Mark: I don't think I'll be able to come to your exhibition, unfortunately, but it sure seems quite an interesting one.<br /><br />Derik: Thanks for the pdf of Byrne edition of Euclid. I really think it's a wonderful book.<br />Ibn al Rabinhttps://www.blogger.com/profile/16665229209622941985noreply@blogger.comtag:blogger.com,1999:blog-899946063697780510.post-62470892007165962892013-02-25T14:30:51.731-05:002013-02-25T14:30:51.731-05:00Idn Al Rabin: I really like these. I've been u...Idn Al Rabin: I really like these. I've been using geometric forms in my work lately but not for any real purpose like this.<br /><br />For what it's worth, there's a pdf of the Byrne edition of Euclid for free at the Internet Archive: http://archive.org/details/firstsixbooksofe00eucl I downloaded it over the summer as a future reference and then forgot about it until I saw this post.DerikBhttps://www.blogger.com/profile/14053996103436467143noreply@blogger.comtag:blogger.com,1999:blog-899946063697780510.post-19444299633914180122013-02-22T03:24:26.680-05:002013-02-22T03:24:26.680-05:00Wonderful as usual Mathieu! I hope I see you here:...Wonderful as usual Mathieu! I hope I see you here:<br />https://www.facebook.com/#!/events/496219717088191/?fref=ts<br />Mark Staff Brandlhttp://www.markstaffbrandl.com/noreply@blogger.comtag:blogger.com,1999:blog-899946063697780510.post-31422858756673384282013-02-19T09:46:01.951-05:002013-02-19T09:46:01.951-05:00@Ibn al Rabin: Ces bandes-dessinées sont magnifiqu...@Ibn al Rabin: Ces bandes-dessinées sont magnifiques ; la troisième m'intrigue énormément : comme Andreï, j'aimerai bien pouvoir la voir/ lire intégralement. <br /><br />@All folks : My strip <i>Triangle</i>, <a href="http://abstractcomics.blogspot.fr/2012/02/triangle.html" rel="nofollow">http://abstractcomics.blogspot.fr/2012/02/triangle.html</a> is based on the permutations of triangle vertexes (Ma bande-dessinée <i>Triangle</i> est basé sur les permutations des sommets du triangle). Mattias-Fausse-Monnaiehttps://www.blogger.com/profile/12350010507759487605noreply@blogger.comtag:blogger.com,1999:blog-899946063697780510.post-39662412657375384982013-02-18T20:28:28.654-05:002013-02-18T20:28:28.654-05:00in the absence of words (explanations) , I can exp...in the absence of words (explanations) , I can explore/ contemplate things like this visually and perhaps even reach understandings/ thoughts that are outside the strict fences of mathematics/ geometry and verbal language.... these pictures give the visual mind something to do rather than something to look at. and if teaching methods were geared more to the visual mind .... rappelhttps://www.blogger.com/profile/03569445602513667186noreply@blogger.comtag:blogger.com,1999:blog-899946063697780510.post-79072880120594714492013-02-18T17:46:46.299-05:002013-02-18T17:46:46.299-05:00Thanks! What I find fascinating about this is the...Thanks! What I find fascinating about this is the re-visualization of geometry, so to speak--an argument that geometry can function visually only (or primarily). A large part of the history of math has been so anti-visual, reducing geometry to equations, functions, as if the visual had to be purified away. I think the ideological basis of that move really needs to be addressed by a philosopher of mathematics.Andrei Molotiuhttps://www.blogger.com/profile/17400106944822618816noreply@blogger.comtag:blogger.com,1999:blog-899946063697780510.post-7045044198845114402013-02-18T16:57:10.511-05:002013-02-18T16:57:10.511-05:00And I should add that the original Roger B. Nelsen...And I should add that the original Roger B. Nelsen proof can be found on the page linked below. You'll see that my piece is just an elaboration of this proof.<br /><br />http://fatosmatematicos.blogspot.ch/2009_08_01_archive.html<br />Ibn al Rabinhttps://www.blogger.com/profile/16665229209622941985noreply@blogger.comtag:blogger.com,1999:blog-899946063697780510.post-1941278177364955002013-02-18T16:45:08.017-05:002013-02-18T16:45:08.017-05:00This comment has been removed by the author.Ibn al Rabinhttps://www.blogger.com/profile/16665229209622941985noreply@blogger.comtag:blogger.com,1999:blog-899946063697780510.post-15871834260961134482013-02-18T16:40:15.709-05:002013-02-18T16:40:15.709-05:00I can send you pictures in larger format, but it i...I can send you pictures in larger format, but it is quite difficult to follow either since some details in the original painting are rather small. Anyway, I'll send you an email with these.Ibn al Rabinhttps://www.blogger.com/profile/16665229209622941985noreply@blogger.comtag:blogger.com,1999:blog-899946063697780510.post-44367414780699786972013-02-18T16:20:07.626-05:002013-02-18T16:20:07.626-05:00Mathieu, those images are really small! Any chanc...Mathieu, those images are really small! Any chance you could post larger ones, especially of the last one? I want to follow the proof, but it's unreadable.Andrei Molotiuhttps://www.blogger.com/profile/17400106944822618816noreply@blogger.comtag:blogger.com,1999:blog-899946063697780510.post-7494652709906413632013-02-18T13:22:04.967-05:002013-02-18T13:22:04.967-05:00These are great!These are great!K. Thor Jensenhttps://www.blogger.com/profile/06404103047183782573noreply@blogger.comtag:blogger.com,1999:blog-899946063697780510.post-78766444926132744842013-02-18T08:08:57.730-05:002013-02-18T08:08:57.730-05:00Hi Andrei,
it seems I had missed your two posts (...Hi Andrei,<br /><br />it seems I had missed your two posts (which is strange since I come here regularly, but anyway). I'll read them with interest when I have some time. <br /><br />About Euclid, I don't know the Dover version. What makes Oliver Byrne's version so incredible is that it is the only one I know where pictures are used in every place instead of letters. Just a sample:<br /><br />http://www.math.ubc.ca/~cass/Euclid/book1/byrne-14.html<br /><br />The book can be read online there, but I really enjoyed the printed version as well (though I am not very fond of buying books edited by huge publishers such as Taschen).Ibn al Rabinhttps://www.blogger.com/profile/16665229209622941985noreply@blogger.comtag:blogger.com,1999:blog-899946063697780510.post-83137373936760265992013-02-17T18:58:42.929-05:002013-02-17T18:58:42.929-05:00This is fantastic, thanks! I've been thinking...This is fantastic, thanks! I've been thinking a lot about abstract comics and math/science too, recently. Have you seen this post? http://abstractcomics.blogspot.com/2012/12/abstract-comics-and-systems-theory-talk.html<br /><br />Also this, where I mention another post by you: http://abstractcomics.blogspot.com/2011/12/box-algebra-logic-as-abstract-comics.html<br /><br />I love the third theorem. A totally Euclidean discovery, 2000+ years later.<br /><br />I have the three volume edition of Euclid from Dover. It has excellent commentary, and modern diagrams. Do you think there is still a reason to get the Taschen one too?Andrei Molotiuhttps://www.blogger.com/profile/17400106944822618816noreply@blogger.com