X-Google-Thread: f996b,82e0de217f3c83ee X-Google-Thread: 109d8a,82e0de217f3c83ee X-Google-Attributes: gidf996b,gid109d8a,public X-Google-Language: ENGLISH,ASCII-7-bit Path: g2news2.google.com!postnews.google.com!m58g2000cwm.googlegroups.com!not-for-mail From: "Proginoskes" Newsgroups: alt.ascii-art,sci.math Subject: Re: request please for an ascii drawing of a saddle and a huge ball that would fit into the saddle; for math Date: 19 Jan 2007 16:31:40 -0800 Organization: http://groups.google.com Lines: 40 Message-ID: <1169253100.602125.93160@m58g2000cwm.googlegroups.com> References: <1169028002.509545.171460@11g2000cwr.googlegroups.com> <1169181160.277084.7010@38g2000cwa.googlegroups.com> <2Q+xRVAaKSG0p9g5NBbfe4zuo6C9@4ax.com> NNTP-Posting-Host: 129.219.42.58 Mime-Version: 1.0 Content-Type: text/plain; charset="us-ascii" X-Trace: posting.google.com 1169253107 32054 127.0.0.1 (20 Jan 2007 00:31:47 GMT) X-Complaints-To: groups-abuse@google.com NNTP-Posting-Date: Sat, 20 Jan 2007 00:31:47 +0000 (UTC) In-Reply-To: <2Q+xRVAaKSG0p9g5NBbfe4zuo6C9@4ax.com> User-Agent: G2/1.0 X-HTTP-UserAgent: Mozilla/5.0 (X11; U; SunOS sun4u; en-US; rv:1.7.5) Gecko/20041109 Firefox/1.0,gzip(gfe),gzip(gfe) Complaints-To: groups-abuse@google.com Injection-Info: m58g2000cwm.googlegroups.com; posting-host=129.219.42.58; posting-account=mmiamAwAAAATmtxVYi9NGy7tls83IKO3 Xref: g2news2.google.com alt.ascii-art:2892 sci.math:165867 [Mr.] Lynn Kurtz wrote: > On 18 Jan 2007 20:32:40 -0800, "Bill Taylor" > wrote: > > >> Can someone please draw a saddle and then draw a huge ball that > >> would sit on top of the saddle as to ride the saddle. The idea is that > >> the ball is Riem geom and the saddleshape is Lobachevskian geom. > > > > .-'""`-. > > wfct .' `. > > / , \ > > ; , : : > > : , : :; > > `- \ , : :/ -' > > | "-_ `. : : ::.' _-" | > > \ "--._`-....-'_.--" / > > :\ ::::::::: / > > \\ ::::::: / > > `_-_ ::::: _-' > > ""`--------------' > > > >"""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" > > __ _______ ._________ > > \ \ /\ / _____// ,__ ___| > > \ \ / \ / /____ / / | | > > \ \/ /\ \/ _____/( ( | | > > \ / \ / \ \_/|| | > > \/ \/ \__/ |_| > > Does it have to be ASCII? Here's a jpeg: > > http://math.asu.edu/~kurtz/SphereOnSaddle.jpg Yes, it has to be ASCII. In terms of computers, AP is still in the early 1990s. His mathematics is still in the 15th century: Texts with long titles, informal proofs, and no symbolic formulas. --- Christopher Heckman