r5Ow0my7X.0@199.232.139.24=3D?U=3D?UTF-8?Q?T?=3DF-8?Q?=3DF0=3D9F   
   3D8C=3DBA?=3D> 1924ce02   
   XPost: alt.checkmate, alt.transgendered, alt.flame   
   XPost: alt.slack   
   From: sionf2@drum.cc   
      
   ðŸŒˆðŸ’�🌻🌺🌹🌻ðŸ’�🌷🌺🌈 Jen 🌈ðŸ’�🌻🌺🌠  
   ðŸŒ»ðŸ’�🌷🌺🌈 D ershmenderde   
   nden...den-den *jazz hands* ðŸ’�🌻🌺🌹🌻ðŸ’�🌷🌺ðŸ�¶   
   ¬›ðŸŒˆðŸ’�🌻🌺🌹🌻ðŸ’�🌷🌺🌈 wrote:   
   > On Tue, 30 Sep 2025 10:36:12 -0700, LO AND BEHOLD; Eats Eagle Ass   
   >  determined that the following was of great   
   > importance to Eats Eagle Ass  and subsequently   
   > decided to freely share it with us in   
   > <2BycnTP7zdqSiEH1nZ2dnZfqn_qdnZ2d@giganews.com>:   
   >   
   > =?UTF-8?B?8J+Ps++4j+KAjfCfjIg=?= 🌈ðŸ’�🌻🌺🌹🌻ðŸ’�🌷🌺🌈 Jen   
   > =?UTF-8?B?8J+Ps++4j+KAjfCfjIg=?= 🌈ðŸ’�🌻🌺🌹🌻ðŸ’�🌷🌺🌈 D   
   ershmenderde nden...den-den   
   > =?UTF-8?B?8J+Ps++4j+KAjfCfjIg=?= *jazz hands*   
   > =?UTF-8?B?8J+Ps++4j+KAjfCfjIg=?= ðŸ’�🌻🌺🌹🌻ðŸ’�🌷𠠠
   ŒºðŸ�¶ç¬›ðŸŒˆðŸ’�🌻🌺🌹🌻ðŸ’�🌷   
   > =?UTF-8?B?8J+Ps++4j+KAjfCfjIg=?= 🌺🌈 wrote:   
   > =?UTF-8?B?8J+Ps++4j+KAjfCfjIg=?= =?UTF-8?B?8J+Ps++4j+KAjfCfjIg=?= ...and   
   then forgot/dismissed the whole "dimensional" thing. A möbius   
   > =?UTF-8?B?8J+Ps++4j+KAjfCfjIg=?= =?UTF-8?B?8J+Ps++4j+KAjfCfjIg=?= PLANE   
   isn't a toroid. A möbius STRIP, traditionally made of paper   
   > =?UTF-8?B?8J+Ps++4j+KAjfCfjIg=?= =?UTF-8?B?8J+Ps++4j+KAjfCfjIg=?=   
   3-dimensional paper, is 3d and topologically equivalent to a toroid.   
   > =?UTF-8?B?8J+Ps++4j+KAjfCfjIg=?= =?UTF-8?B?8J+Ps++4j+KAjfCfjIg=?= HTH   
   > =?UTF-8?B?8J+Ps++4j+KAjfCfjIg=?= i'm glad you took the time to look that up   
   and post it maybe know you'll   
   > =?UTF-8?B?8J+Ps++4j+KAjfCfjIg=?= know what you mean   
   > =?UTF-8?B?8J+Ps++4j+KAjfCfjIg=?=   
   >   
   > I didn't have to "look it up".  The person who likely who "looked it up" is   
   finding out how much AI doesn't "know" about stuff - or ANYTHING, FOR THAT   
   MATTER.   
   >   
   > He explicitly called a "strip" a non-3d thing as some kind of "gotcha".   
   >   
   > More right-wing dumbfuckery on display, IMO.   
   >   
   > I did quite well in both Honors 3 CALC in college during my freshman year,   
   but also my Honors Programming class.  3 years later, I did quite well in   
   Discrete Math.   
   >   
   > Some of you here are majoring in Discrete Meth and maybe "minoring" in   
   regard to your preferred sex partners.   
   >   
      
      
   I learned about Moebius strips long before calculus, long before high   
   school.  They are not equivalent to toroids.  As you said they are   
   equivalent to modified toroids.   
      
   mod·i·fy   
   /ˈmädəˌfÄ«/   
   verb   
   past tense: modified; past participle: modified   
   make partial or minor changes to (something), typically so as to improve   
   it or to make it less extreme.   
   "she may be prepared to modify her views"   
      
   Biology   
   transform (a structure) from its original anatomical form during   
   development or evolution.   
   Grammar   
   (especially of an adjective) restrict or add to the sense of (a noun).   
      
   Here's something to fill your pipe with:   
      
   A Moebius strip is equivalent to an isotoroid.  It's a special case   
   because toroids are normally equally thick at all points.  It's also   
   equivalent to a fluke worm swimming in a vat of salt.   
      
   --- SoupGate-Win32 v1.05   
    * Origin: you cannot sedate... all the things you hate (1:229/2)