Original Usenet thread from alt.ascii-art, started 17 Jan 2007.
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request please for an ascii drawing of a saddle and a huge ball that would fit into the saddle; for math
alt.ascii-art
· 18 messages · 17 Jan 2007 - 25 Jan 2007
This is a ascii art for math and sci.math. 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. And, please, if you have extra time could you draw a Cartesian three dimensional coordinate system of about the same size as the saddle and ball. Thanks so much.
_.-In alt.ascii-art, a_plutonium wrote the following -._ > This is a ascii art for math and sci.math. 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. What is a lobachevskian geom? http://en.wikipedia.org/wiki/Hyperbolic_geometry Or a Reim geom? http://images.google.com/images?q=Riemannian%20geometry > And, please, if you have extra time could you draw a Cartesian three > dimensional coordinate system of about > the same size as the saddle and ball. This may not have occured to you but some people may have no idea what a Cartesian three dimensional coordinate system is. They are even less likely to know when you have abreviated something like Riem. Whenever one group with its own language is making a request of a group that has its own language it is best to provide a referance source to any terms that group one may know but group two my have no experiance with. http://en.wikipedia.org/wiki/Cartesian_coordinate_system Now, which of systems listed there did you want illustrated? How big did you want this thing? This big? __ ( ) \/ _ / \`---' \ /_.-\_.--._\ That big^2 That big * 16 Size matters. -- =()==()==()==()==()- http://fauxascii.com \ \ \ \ \ \ ASCII artist :F_P:-O- -O- -O- -O- -O- -O- -O- \ \ \ \ \ \ \ \ \
Faux_Pseudo wrote in message <iQqrh.57582$kn7...@newsfe23.lga>: >> This is a ascii art for math and sci.math. Can someone please draw a >> saddle and then draw a huge ball that >> would sit on top of the saddle as to ride the saddle. The idea is that >> the ball is Riem geom and the saddleshape >> is Lobachevskian geom. > > What is a lobachevskian geom? > http://en.wikipedia.org/wiki/Hyperbolic_geometry > Or a Reim geom? > http://images.google.com/images?q=Riemannian%20geometry He probably means respectively hyperbolic and parabolic. I hate it when people use the name of someone instead of a meaningful name to designate a mathematical object. > How big did you want this thing? This big? > __ > ( ) > \/ _ > / \`---' \ > /_.-\_.--._\ > I believe he wants something like that (sorry, this is not really ASCII-art; but this is too hard for me): camera { location <0.5, 0.5, -2> look_at <0, 0.1, 0> } light_source { <10, 10, -20> rgb <2, 2, 2> } quadric { <-1, 0, 1>, 0, <0, 1, 0>, 0 clipped_by { box { <-0.7, -10, -0.7>, <0.7, 10, 0.7> } } pigment { rgb <1, 0, 0> } finish { ambient 0.2 specular 1 } } sphere { <0, 0.5, 0>, 0.5 pigment { rgb <0, 1, 1> } finish { ambient 0.2 specular 1 } } The sphere has to be in the bottom of the saddle, and be as big as possible to fit in the ridge. It is called the osculating sphere at this point.
On 17 Jan 2007 16:13:30 GMT, Nicolas George <nicolas$geo...@salle-s.org> tried to confuse everyone with this message: >Faux_Pseudo wrote in message <iQqrh.57582$kn7...@newsfe23.lga>: >>> This is a ascii art for math and sci.math. 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. >> >> What is a lobachevskian geom? >> http://en.wikipedia.org/wiki/Hyperbolic_geometry >> Or a Reim geom? >> http://images.google.com/images?q=Riemannian%20geometry > >He probably means respectively hyperbolic and parabolic. Elliptic, not parabolic. >I hate it when people use the name of someone instead of a meaningful name >to designate a mathematical object. These names are traditional in some countries, like former USSR where Lobachevsky is considered one of the greatest mathematicians ever. >> How big did you want this thing? This big? >> __ >> ( ) >> \/ _ >> / \`---' \ >> /_.-\_.--._\ >> > No ASCII art from me, because I have an exam soon and unfortunately it's quantum physics, not math... |><|><>|<|>|<|><><|> -- |Don't believe this - you're not worthless ,gr---------.ru |It's us against millions and we can't take them all... | ue il | |But we can take them on! | @ma | | (A Wilhelm Scream - The Rip) |______________|
Timofei Shatrov wrote in message
<45a...@news.readfreenews.net>:
> Elliptic, not parabolic.
Damn, I always do the same mistake.
Faux_Pseudo wrote: (snipped) > How big did you want this thing? This big? > __ > ( ) > \/ _ > / \`---' \ > /_.-\_.--._\ > Thanks that is good except I need the ball positioned in the center of the dip. Here is my 3-D Cartesian coordinate system | | / _ _|/___ x-axis / | / | Now I need to try to put that ball in the center of the saddle dip. __ ( ) \/ _ / \`---' \ /_.-\_.--._\ Can you draw this saddle such that the dip is about where -1 and -2 and -3 is on the x-axis and where the ball is positioned in the center of the dip of about +1 and +2 and +3 of the x-axis Archimedes Plutonium www.iw.net/~a_plutonium whole entire Universe is just one big atom where dots of the electron-dot-cloud are galaxies
> 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 .' `. / , \ ; , : : : , : :; `- \ , : :/ -' | "-_ `. : : ::.' _-" | \ "--._`-....-'_.--" / :\ ::::::::: / \\ ::::::: / `_-_ ::::: _-' ""`--------------' """""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""" __ _______ ._________ \ \ /\ / _____// ,__ ___| \ \ / \ / /____ / / | | \ \/ /\ \/ _____/( ( | | \ / \ / \ \_/|| | \/ \/ \__/ |_|
On 18 Jan 2007 20:32:40 -0800, "Bill Taylor" <w.t...@math.canterbury.ac.nz> 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 --Lynn
"[Mr.] Lynn Kurtz" wrote in message
<2Q+...@4ax.com>:
> Does it have to be ASCII? Here's a jpeg:
I like my PoV version better.
[Mr.] Lynn Kurtz wrote: > On 18 Jan 2007 20:32:40 -0800, "Bill Taylor" > <w.t...@math.canterbury.ac.nz> 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
_.-In alt.ascii-art, Proginoskes wrote the following -._ >> 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. Is that the size and scale you need? If that is what you are looking for then I can asciify it without a problem. -- =()==()==()==()==()- http://fauxascii.com \ \ \ \ \ \ ASCII artist :F_P:-O- -O- -O- -O- -O- -O- -O- \ \ \ \ \ \ \ \ \
Faux_Pseudo wrote: > _.-In alt.ascii-art, Proginoskes wrote the following -._ > >> 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. > > Is that the size and scale you need? If that is what you are looking > for then I can asciify it without a problem. The request was made by Archimedes Plutonium; check the rest of this thread. --- Christopher Heckman > =()==()==()==()==()- http://fauxascii.com > \ \ \ \ \ \ ASCII artist > :F_P:-O- -O- -O- -O- -O- -O- -O- > \ \ \ \ \ \ \ \ \
Faux_Pseudo wrote: > >> > >> http://math.asu.edu/~kurtz/SphereOnSaddle.jpg > > Is that the size and scale you need? If that is what you are looking > for then I can asciify it without a problem. > > -- > =()==()==()==()==()- http://fauxascii.com > \ \ \ \ \ \ ASCII artist > :F_P:-O- -O- -O- -O- -O- -O- -O- > \ \ \ \ \ \ \ \ \ Yes, could you please try to duplicate the Kurtz picture as close to possible in ascii. A picture speaks a thousand words and makes science so much more livelier. The reason I need this is because the picture tells so much easier that Euclidean 3-dimensional geometry is a composite of a Sphere and a saddleshape. That when you add the two you get 3-D Euclidean. Archimedes Plutonium www.iw.net/~a_plutonium whole entire Universe is just one big atom where dots of the electron-dot-cloud are galaxies
a_plutonium wrote: > Faux_Pseudo wrote: > > > >> > > >> http://math.asu.edu/~kurtz/SphereOnSaddle.jpg > > > > Is that the size and scale you need? If that is what you are looking > > for then I can asciify it without a problem. > > > > -- > > =()==()==()==()==()- http://fauxascii.com > > \ \ \ \ \ \ ASCII artist > > :F_P:-O- -O- -O- -O- -O- -O- -O- > > \ \ \ \ \ \ \ \ \ > > > Yes, could you please try to duplicate the Kurtz picture as close > to possible in ascii. > > A picture speaks a thousand words and makes science so > much more livelier. > > The reason I need this is because the picture tells so much > easier that Euclidean 3-dimensional geometry is a composite of > a Sphere and a saddleshape. That when you add the two > you get 3-D Euclidean. > Come to think of it. A good computer engineer should be able to construct software such that you input a picture in one end and out the other end drops a ascii art match of that picture. Such a thing would be useful for storage space in that ascii would take up less storage. I would not be surprized that some computer engineer has already devised such a program. Sort of like a ascii photocopier where you put a photo in and out comes a ascii art picture. Archimedes Plutonium www.iw.net/~a_plutonium whole entire Universe is just one big atom where dots of the electron-dot-cloud are galaxies
_.-In alt.ascii-art, a_plutonium wrote the following -._ > Come to think of it. A good computer engineer should be able to > construct software > such that you input a picture in one end and out the other end drops a > ascii art It has already been done. JavE for example. If someone wants to take a shot at asciifying this pic go head since I probably won't get to it till Sunday. -- =()==()==()==()==()- http://fauxascii.com \ \ \ \ \ \ ASCII artist :F_P:-O- -O- -O- -O- -O- -O- -O- \ \ \ \ \ \ \ \ \
On 19 Jan 2007 16:31:40 -0800, "Proginoskes" <CCH...@gmail.com> wrote: > >[Mr.] Lynn Kurtz wrote: >> 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 Oh. Had I seen the whole thread and realized AP was involved, I wouldn't have bothered... --Lynn
_.-In alt.ascii-art, a_plutonium wrote the following -._ >> > >> http://math.asu.edu/~kurtz/SphereOnSaddle.jpg >> > >> > Is that the size and scale you need? If that is what you are looking >> > for then I can asciify it without a problem. >> Yes, could you please try to duplicate the Kurtz picture as close >> to possible in ascii. Here you go. It isn't perfect but it shows the image above. First one is free. ___---___ |\ _.-/'_/__|__\_'\-._ /| |\\ .-./_/__+___|___+__\_\.-. //| |\\\ ./ / / | | | \ \ \. ///| |\\|\ //`/`-/--._|___|___|_.--\-'\'\\ /|//| |\\|\\ ///' | | | | | '\\\ //|//| | \|\\\ /./-+---+---+----|----+---+---+-\.\ ///|/ | |\ |\\|\ /_. | | | | | | | ._\ /|//| /| | \|\\|\\\ .| |`-+---|---+----|----+---|---+-'| |. ///|//|/ | |\ | \|\\\\ || | | | | | | | | | || ////|/ | /| | \|\ | \\|\ ||_| | | | | | | | |_|| /|// | /|/ | | | \|` \|\\\ || |`-+---|---+----|----+---|---+-'| || ///|/ '|/ | | |`,|\ |\`\|\\|\\ `\_| | | | | | | | |_/' //|//|/'/| /|,'| | | \| \ | \|\\`. \-`--+---+--_+..__|__..+_--+---+--'-/ .'//|/ | / |/ | | |\ |\ |\ \|\ |.\|\\ \`\ `. | | | | | .' /'/ //|/.| /|/ /| /| /| | \| \| \ |\`| \|\\|\_`\\-\--\-._`.___|___.'_.-/--/-//'_/|//|/ |'/| / |/ |/ | |\ |\ | `| \|\ |-\|`-`.\\ \ \ | | | / / //.'-'|/-| /|/ |' | /| /| | \| \|`\ |\ |\`|`-|-.|-`-\.`\-\__+___|___+__/-/'./-'-|.-|-'|'/| /| /'|/ |/ | | | | \| \| \|`\|`-|._|-.`-\_\__\__|__/__/_/-'.-|_.|-'|/'|/ |/ |/ | | | |\ |\ |\ |\ |\ |\ |\ |-.|-.|-._|-=.__|__.=-|_.-|.-|.-| /| /| /| /| /| /| /| | \| \| \ | \| \| `| `|. |._|-._|`-|--|--|-'|_.-|_.| .|' |' |/ |/ | / |/ |/ | | | | `| | |\ |`.| -| |--.|''|''|''|''|.--| |- |.'| /| | |' | | | \ |\ |\ |\ |`\| `| |-.|`-|_ |--|--|--|--| _|-'|.-| |' |/'| /| /| /| / \ | \| `\| `| |\ |-.| |-.| ``|--|__|__|--|'' |.-| |.-| /| |' |/' |/ | / \| |\ |\ |\ | `| |-.| |--.|_ | | | _|.--| |.-| |' | /| /| /| |/ \ | \ | \| `| |`-| |-.| | `|--|--|' | |.-| |-'| |' |/ | / | / `\| \| |. |` | |-.| |--.|_ | | | _|.--| |.-| | '| .| |/ |/' | |\ | \| `|_ | |-_| | `|--|--|' | |_-| | _|' |/ | /| | \ | \| |\ | `|_ | |-._| | | | |_.-| | _|' | /| |/ | / `\| |\ | \| | `|_ | |`-|--|--|-'| | _|' | |/ | /| |/' \ | \| |-.| | `|_ | | | | | _|' | |.-| |/ | / `\| |\ | |- | | `-|._|__|__|_.|-' | | -| | /| |/' \ | \| | `|._| | | | | | |_.|' | |/ | / `\| |\_| | |-,_| | | | |_,-| | |_/| |/' \ | |-.| | |--|--|--|--| | |.-| | / `-| | |._| | | | | | |_.| | |-' `-.| | |-._| | | | |_.-| | |.-' `- | | |--|--|--|--| | | -' `__ | | | | | | | __' `-__ | | | | | __-' `-._|:F_P:|_.-' :F_P:#################################Wed Jan 24 2007################# Sphere On Saddle -- =()==()==()==()==()- http://fauxascii.com \ \ \ \ \ \ ASCII artist :F_P:-O- -O- -O- -O- -O- -O- -O- \ \ \ \ \ \ \ \ \
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> Sphere On Saddle
>
Thanks alot. It is pretty. I shall use that to help teach the concept
of
Riem geom + Loba geom = Eucl geom
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