Relay-Version: version B 2.10 5/3/83; site utzoo.UUCP Posting-Version: version B 2.10.2 9/18/84; site watdaisy.UUCP Path: utzoo!watmath!watnot!watdaisy!gjerawlins From: gjerawlins@watdaisy.UUCP (Gregory J.E. Rawlins) Newsgroups: net.math Subject: Re: etc Euler formula Message-ID: <7328@watdaisy.UUCP> Date: Sun, 23-Jun-85 03:36:46 EDT Article-I.D.: watdaisy.7328 Posted: Sun Jun 23 03:36:46 1985 Date-Received: Sun, 23-Jun-85 06:12:09 EDT Reply-To: gjerawlins@watdaisy.UUCP (Gregory J.E. Rawlins) Distribution: net Organization: U of Waterloo, Ontario Lines: 15 In article <555@cvl.UUCP> david@cvl.UUCP (David Harwood) writes: >Re Euler formula: >[.......] >if the added vertex splits an edge, then F + (V+1) = (E+1) + 2, else >if it splits a face, then (F+2) + (V+1) = (E+3). > (Of course, I am ignoring the holomogy of these 'objects'.) >~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ > Sorry about the typo for the last formula (F+2) + (V+1) = >(E+3) + 2. Shouldn't that be (F+1) + (V+2) = (E+3) + 2 ? (assuming that the "added vertex" is an edge (in the normal sense) which splits a face). -- Gregory J.E. Rawlins, Department of Computer Science, U. Waterloo {allegra|clyde|linus|inhp4|decvax}!watmath!watdaisy!gjerawlins