Original Usenet thread from alt.ascii-art, started 16 Jul 1997.
The Waterfall
alt.ascii-art
· 9 messages · 16 Jul 1997 - 24 Jul 1997
The Waterfall
Michael Naylor (7/97)
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http://www.math.fsu.edu/~mnaylor '-' !
Michael Naylor wrote: > > The Waterfall > Michael Naylor (7/97) > > ,__--~~-_. > ,__--~~ ;__--_ : ~-_. > _--~ ;__--~~ .|:~-_. .`~-_. > ~-_`( ~-_ ..|:::::~-_.'`.~-_. > |::~-_`. ~-_ ...|:::::::::~-_.'. ~-_. > |:::::~-_))))..._|:::::::::::::~-_. .'~-_. > |::::::::;!)!)~~..~-_(().::::::::::~-_. ` ~-_. > |::::::::;!!!)......((o))::::::::::::::~-_.) ;~-_. > |::::::::;'!!! .....(())-_::::::::::;_-~ ',_-~ | > |::::::::; !!! ...!!...~-_:::;_-~ , ,_-~ | > |::::::::;.!!! .......,_-~. ,_-~ | () > |::::::::; !!! .,_-~ ~,_-~ | (()) > |:::::::.( !!!.) ,_-~ . ,_-~ | ((()o) > |::::::(:;`!!!,'),_-~. ,_-~ _-~.. (()) > |::::::.({,!!!_}~.,~,_-~ () _-~ :::..!! > |:::::::',{!!!},~;_-~ (o)) _-~ '' > |::::::(.:~(_;_-~ ) : ((()o) () > |:::::::::"::| .) :::,_(o)) (o)) > |::::::::.:::| ;-:..!! ((()o) > |::::::::::::| _-~ .. (()) > |::()):::::::| _-~ ::::..!! > ..~(()o)::::::| _-~ '' > ..((o)))):::::| _-~ > ...((())~-_:::| _-~ > .. '|| ~-_|-~ mn > :::..!! > '' Nice! :) I took a look at M.C. Escher's version of this one: http://www.cs.utah.edu/~dmcallis/Pic/Escher/waterfall.jpg and made this one (including the power station and the big wheel but only one section high, who cares to add the second part upwards?): _.-'\ _.-' \ _.-' \ _.-_-'\ _.-'`-._ |\ _-| _.-'_.-'`-._`-._ | | | |_.-' `-._`-._|`-._ \ \ | | / / _ ``---._ `-._ \ \|_-' | / / .-' `-._|`-._ ``-._ `-._ \ || || / /|-'|`-._ `-._ `--._`-._|`-._ \_.-' | | ||| `-._ `-._ ``---._ `-._ | | | | | ||| |||`-._ `-._|`-._ ``-._ `-._ | | __ ||| ||| `-._ `-._ `-._ `-._ | | | |_.-|||. ||| `-._ _.-'| `-_.'| | | | ||/ ||| \ ||| _.-'|_.-'_.-' _.-' | | | | | . ||| . ||| _.-' __.---'' _.-' | | | | || ||| |||'|_.-'_.-'' _.-'|_.-' _.' | || || ||| |'|||----'' _.-' _.-' | | | | ||| '||| _.-'|_.-' _.-' | | || _.\ ||| / |||.-' _.-' | | | ' |_`.|||' _.-' _.-' | _.-|| | | ||`-' _.-' |`-._ | _.-' _.-' | `-._ _.-' _.-' | | _.-' | | _.-' -._| | _.-' `-._ | _.-' `-._ | _.-' `|' -- :) Veronica Karlsson ( e93...@sm.luth.se http://www.ludd.luth.se/~vk/ )
Michael Naylor wrote: > [ 8< ] > WOWZERS! I wanted to add the waterwheel, but it seemed awfully tough. > Nice job Veronica! > :) *blush* I just looked at the picture.... (and I happened to know that it is based on two "impossible triangles" placed above each other. Understanding how it works probably made it a little bit easier for me to draw it) The idea behind it looks something like this: __ __ /\ \ /\ \ / \ \ / \ \ / /\ \ \ / /\ \ \ / / /\ \ \/ / /\ \ \ / / /__\_\/ / /__\_\ \ / / /______\/ /________\ \/_____________________/ -> waterfall -> (you'll have to turn it 90 degrees to get it right) -- :) Veronica Karlsson ( e93...@sm.luth.se http://www.ludd.luth.se/~vk/ )
Veronica Karlsson wrote: [ 8< ] > > > __ __ > > > /\ \ /\ \ > > > / \ \ / \ \ > > > / /\ \ \ / /\ \ \ > > > / / /\ \ \/ / /\ \ \ > > > / / /__\_\/ / /__\_\ \ > > > / / /______\/ /________\ > > > \/_____________________/ > > > -> waterfall -> > > > [ 8< ] > ____________ > /\ ________ \ > / \ \______/\ \ > / /\ \ \ / /\ \ \ > / / /\ \ \/ / /\ \ \ > / / /__\_\/ / /__\_\ \ > / / /______\/ /________\ > \/_____________________/ > -> waterfall -> > Hmmm.... this gives me ideas... why not add some more to it... (this has probably been done before though) ____________ /\ ________ \ / \ \______/\ \ / /\ \ \ / /\ \ \ / / /\ \ \/ / /\ \ \ / / /__\_\/ / /__\_\ \ / /_/______\/_/________\ \ \ \______/\ \______ / \ \ \ / /\ \ \ / / / \ \ \/ / /\ \ \/ / / \ \/ / /__\_\/ / / \ / /______\/ / \/___________/ (make a waterfall out of that one Michael! :D ) -- :) Veronica Karlsson ( e93...@sm.luth.se http://www.ludd.luth.se/~vk/ )
Veronica Karlsson wrote: [ 8< ] > > ____________ > /\ ________ \ > / \ \______/\ \ > / /\ \ \ / /\ \ \ > / / /\ \ \/ / /\ \ \ > / / /__\_\/ / /__\_\ \ > / /_/______\/_/________\ > \ \ \______/\ \______ / > \ \ \ / /\ \ \ / / / > \ \ \/ / /\ \ \/ / / > \ \/ / /__\_\/ / / > \ / /______\/ / > \/___________/ > Some small changes and it becomes an impossible cube (could _this_ be a hypercube?) ____________ /\ ________ \ / \ \______/\ \ / /\ \ \ / /\ \ \ / / /\ \ \/ / /\ \ \ / / /__\_\/ / /__\_\ \ / /_/_______/ /________\ \ \ \______ \ \______ / \ \ \ / /\ \ \ / / / \ \ \/ / /\ \ \/ / / \ \/ / /__\_\/ / / \ / /______\/ / \/___________/ -- :) Veronica Karlsson ( e93...@sm.luth.se http://www.ludd.luth.se/~vk/ )
DaSmurf wrote: > > Veronica Karlsson wrote: > > Michael Naylor wrote: > > [ 8< ] > > > WOWZERS! I wanted to add the waterwheel, but it seemed awfully tough. > > > Nice job Veronica! > > > > :) *blush* > > > > I just looked at the picture.... (and I happened to know that it is > > based on two "impossible triangles" placed above each other. > > Understanding how it works probably made it a little bit easier for me > > to draw it) > > > > The idea behind it looks something like this: > > > > __ __ > > /\ \ /\ \ > > / \ \ / \ \ > > / /\ \ \ / /\ \ \ > > / / /\ \ \/ / /\ \ \ > > / / /__\_\/ / /__\_\ \ > > / / /______\/ /________\ > > \/_____________________/ > > -> waterfall -> > > > > (you'll have to turn it 90 degrees to get it right) > > -- > > Have to change a little in your explanation... ;) No, you misunderstand, the discussion was about a specific painting by M.C. Escher where water runs away in a canal system into the distance and then it falls down a waterfall and back to the beginning of the same canal system. That particular picture is based on a "double impossible triangle" such as I have drawn above as an attempt to _illustrate_ my words. This little sketch-like illustration is not what we were interested in, we have seen that one before. You can admire Escher's picture here: http://www.cs.utah.edu/~dmcallis/Pic/Escher/waterfall.jpg > > The first picture made that way was like this: > __ > /\ \ > / \ \ > / /\ \ \ > / / /\ \ \ > / / /__\_\ \ > / / /________\ > \/___________/ I know that, but that is not what we were talking about. We were talking about this: The Waterfall Michael Naylor (7/97) ,__--"^-_. ,__--"" ;__--_ : "-_. _--",~__--"" .:|:"-_.~.`"-_. !-_`. "-_ .:;;|:::::"-_.'`."-_. |::"-_`. "-_'::::"-_::::::"-_.'. "-_. |:::::"-_))))" '::::"-_:::::::"-_. . '"-_. |::::::::;!)!) ':::(()-_::::::::"-_. ` "-_. |::::::::;!!!) ((o))::"-_::::::::";-_.` ;"-_. |::::::::;'!!! .. (()):::::"-_::::;_-" ',_-" | |::::::::; !!! ::::..!! '::::::"_-" , ,_-" | |::::::::;.!!! '' ;_-"' ,_-" | |::::::::; !!! ,_-" ~,_-" | () |:::::::.( !!!') ,_-" . ,_-" | (()) |::::::(:(`!!!!'),_-". ,_-" _-" ((()o) |::::::.((,!!!_)~.,~,_-" () _-" ... (()) |:::::::',((!'),~;_-" (o)) _-" ::::..!! |::::::(.:~(_;_-" ) : ((()o) () ''' |:::::::::"::| .) :::,_(o)) (o)) |::::::::.:::| ;-:..!! ((()o) |::::::::::::| _-" ... (()) |::()):::::::| _-" :::::..!! .."(()o)::::::| _-" ''' ..((o)))):::::| _-" ...((())"-_:::| _-" .. '|| "-_|-" mn :::..!! '' of which I made my own version (complete with big wheel and power station): _.-'\ _.-' \ _.-' \ _.-_-'\ _.-'`-._ |\ _-| _.-'_.-'`-._`-._ | | | |_.-' `-._`-._|`-._ \ \ | | / / _ ``---._ `-._ \ \|_-' | / / .-' `-._|`-._ ``-._ `-._ \ || || / /|-'|`-._ `-._ `--._`-._|`-._ \_.-' | | ||| `-._ `-._ ``---._ `-._ | | | | | ||| |||`-._ `-._|`-._ ``-._ `-._ | | __ ||| ||| `-._ `-._ `-._ `-._ | | | |_.-|||. ||| `-._ _.-'| `-_.'| | | | ||/ ||| \ ||| _.-'|_.-'_.-' _.-' | | | | | . ||| . ||| _.-' __.---'' _.-' | | | | || ||| |||'|_.-'_.-'' _.-'|_.-' _.' | || || ||| |'|||----'' _.-' _.-' | | | | ||| '||| _.-'|_.-' _.-' | | || _.\ ||| / |||.-' _.-' | | | ' |_`.|||' _.-' _.-' | _.-|| | | ||`-' _.-' |`-._ | _.-' _.-' | `-._ _.-' _.-' | | _.-' | | _.-' -._| | _.-' `-._ | _.-' `-._ | _.-' `|' And that is what Michael Naylor was commenting on. I then explained that the picture by Escher that is obviously the idea behind our, somewhat simpler, pictures is based on two impossible triangles placed above each other in the way that I tried to describe above and that that is why my picture looked better than his "three-and-a-half-sided" version... Then, a day or two later, I made this picture, which looks more like the original by Escher: _.-"""-._ .' `. / \ | | | | | | \ / _.-"""-._ _.`. .'. .' `. |`-._`-.._..-'_.-| / \ | _ `-._ _.-' | | | | | `-._ " _.-'| | | | | | || | | | | | | | || | | | \ / | | || | | | _`. .'. | | || | | | |`-.`-.._..-'.-'| | | || | | | | `-._.-' | | | _.-'| |_ | | | |`-._ _.-'| | | |'_.-'| |_`-.| | | | || | | | |_.-' | | `-._ `._|`-._ | | || | | | / / | | ``---._ `-._ | | || | | | | / / .-' `-._|`-._ ``-._ `-._ | | || | | | || || / /|-| |-._ `-._ `--._`-._|`-._ | | || | | | | | ' || |\ `-._ `-._ ``---._ `| | || | | | | - | | | || | \ | |`-._ `-._|`-._ ``-| |`-.|| | | | _.-' | | || | \ | | `-._ `-._ | |-._ | |._ | | _.-' | | || | \| | `-._ `-.| | `| |_ `-| | | | | || | | | `-._ _.| | | | `.-| | | | || || | | | _.-'|_.-'_.-' | |_.-' | | | | . || | | | _.-' __.---'' _.| ' | | | || || | | |\_.-'|_.-'_.-'' _.-'|_.-' _. | | | | || | | |' _- _.-' _.-' | | || || || |_.-'| |_.---'' _.-' _ | | | \ | | | || |_.-'| | _.-'|_.-' _.-'|| | | | \ | || .'_| | | |_.-' _.-'| | || | | | \ | | |._ | | | `-._ _.-' | | || | | | \ || | | `| | ```-._`-._|`-._ _.-' | | || | | | |\_.-| | `-._ ``---._ `-._ | | || | | | | | `-._|`-._ ``-._ `-._ | | || | | | | || || | `-._ `--._`-._|`| | || | | | | | | | `-._ ``---.| |`|| | | | | | | | |`-._ `-._|`-._ | |-.| |-._ | | | | ||`-._ `-.| | | |._ `-| | | | | | || | `-._ _.| | | | `-_| | | | | ||__ | | | `-._ _.-'|_.-'_.-' | |_.-' | | | | | ._.-| |. | | `-._ _.-' __.---'' _| | | | | ||/ | | \ | | _.-'|_.-'_.-'' _.-'|_.-' | | || || | | .'| |-' __.---'' _.-' | | | | | |.| '| |-'' _.-'|_.-' | | | || _. | | | | | _.-' | | | | ' | | | | |_.-' | | || | | \ | | / _| ' _.-' |_.-' | _`.| |'-' _.-' |`-._ _.| _.-' | `-._ _.-' _.-' | |' _.-' | | _.-' | | _.-' | | _.-' | | _.-' | | _.-' | | _.-' _ | | _.-' `-|_ | _.-' `-._ | _.-' `-.|.-' If you look at it you should be able to find the "double impossible triangle" (the waterfall itself is the bar that is mutual between them). It even has an extra side to it so maybe it should actually be described as a "triple impossible triangle": ____________ /\ ________ \ / \ \______/\ \ / /\ \ \ / /\ \ \ / / /\ \ \/ / /\ \ \ / / /__\_\/ / /__\_\ \ / / /______\/ /________\ \/_____________________/ -> waterfall -> (turned 90 degrees because that made it easier to draw in ascii) [ 8< smurfs 8< ] -- :) Veronica Karlsson ( e93...@sm.luth.se http://www.ludd.luth.se/~vk/ )
DaSmurf wrote: > > Veronica Karlsson wrote: > > > > DaSmurf wrote: > > > > > > Veronica Karlsson wrote: > > > > Michael Naylor wrote: > > > > [ 8< ] > > > > > WOWZERS! I wanted to add the waterwheel, but it seemed awfully tough. > > > > > Nice job Veronica! > > > > > > > > :) *blush* > > > > The idea behind it looks something like this: > > > > > > > > __ __ > > > > /\ \ /\ \ > > > > / \ \ / \ \ > > > > / /\ \ \ / /\ \ \ > > > > / / /\ \ \/ / /\ \ \ > > > > / / /__\_\/ / /__\_\ \ > > > > / / /______\/ /________\ > > > > \/_____________________/ > > > > -> waterfall -> > > > > > > > > (you'll have to turn it 90 degrees to get it right) > > > > -- > > > > > > Have to change a little in your explanation... ;) > > > > No, you misunderstand, the discussion was about a specific painting by > > M.C. Escher where water runs away in a canal system into the distance > > and then it falls down a waterfall and back to the beginning of the same > > canal system. > > I know that...what I ment was that the first pic made like 'the > impossible' > way was that triangle I posted.. And what does that have to do with the waterfall picture? > > > That particular picture is based on a "double impossible triangle" > > It was here i misunderstood, the 'double' ...sorry :) > ok :) > > You can admire Escher's picture here: > > http://www.cs.utah.edu/~dmcallis/Pic/Escher/waterfall.jpg > > I have it as 'real' paper picture ;) > I have it too, somewhere :) > > of which I made my own version (complete with big wheel and power > > station): > > Wich is REALLY great job...don't think I ever could have done it half > way like that :) > All I did was look at the picture and try to copy the details... > > > > And that is what Michael Naylor was commenting on. I then explained that > > the picture by Escher that is obviously the idea behind our, somewhat > > simpler, pictures is based on two impossible triangles placed above each > > other in the way that I tried to describe above and that that is why my > > picture looked better than his "three-and-a-half-sided" version... > > > > Then, a day or two later, I made this picture, which looks more like the > > original by Escher: > > I saw...its INCREDABLE! :) > *blush* (hmmm.... maybe I should just have stuffed it into a gif-to-ascii converter and posted the result.... saved myselef some trouble... ;) > > > > [ 8< smurfs 8< ] > > BTW..what did u mean with that? ;) > the 8< is a pair of scissors (meaning I "cut" something out) and the "smurfs" part was a little note that the thing I cut out had something to do with smurfs (and since I'm not interested in smurfs I just ignored that part). :) -- :) Veronica Karlsson ( e93...@sm.luth.se http://www.ludd.luth.se/~vk/ )
The mind boggles! Awesome stuff! Thanks Veronica, I'll see if I get time. A most worthwhile project. :) :) :) Michael Veronica Karlsson wrote: > > Veronica Karlsson wrote: > [ 8< ] > > > > ____________ > > /\ ________ \ > > / \ \______/\ \ > > / /\ \ \ / /\ \ \ > > / / /\ \ \/ / /\ \ \ > > / / /__\_\/ / /__\_\ \ > > / /_/______\/_/________\ > > \ \ \______/\ \______ / > > \ \ \ / /\ \ \ / / / > > \ \ \/ / /\ \ \/ / / > > \ \/ / /__\_\/ / / > > \ / /______\/ / > > \/___________/ > > > > Some small changes and it becomes an impossible cube (could _this_ be a > hypercube?) > > ____________ > /\ ________ \ > / \ \______/\ \ > / /\ \ \ / /\ \ \ > / / /\ \ \/ / /\ \ \ > / / /__\_\/ / /__\_\ \ > / /_/_______/ /________\ > \ \ \______ \ \______ / > \ \ \ / /\ \ \ / / / > \ \ \/ / /\ \ \/ / / > \ \/ / /__\_\/ / / > \ / /______\/ / > \/___________/ > > -- > :) > Veronica Karlsson > ( e93...@sm.luth.se http://www.ludd.luth.se/~vk/ ) -- T mna...@math.fsu.edu \`. T Michae| T .--------------.___________) \ | T ! Nay|or |//////////////|___________[ ] ! T | ! `--------------' ) ( | ! http://www.math.fsu.edu/~mnaylor '-' !
Veronica Karlsson wrote: > > DaSmurf wrote: > > > > Veronica Karlsson wrote: > > > > > > DaSmurf wrote: > > > > > > > > Veronica Karlsson wrote: > > > > > Michael Naylor wrote: > > > > > [ 8< ] > > > > > > WOWZERS! I wanted to add the waterwheel, but it seemed awfully tough. > > > > > > Nice job Veronica! > > > > > > > > > > :) *blush* > > > > > The idea behind it looks something like this: > > > > > > > > > > > And that is what Michael Naylor was commenting on. I then explained that > > > the picture by Escher that is obviously the idea behind our, somewhat > > > simpler, pictures is based on two impossible triangles placed above each > > > other in the way that I tried to describe above and that that is why my > > > picture looked better than his "three-and-a-half-sided" version... > > > > > > Then, a day or two later, I made this picture, which looks more like the > > > original by Escher: > > > > I saw...its INCREDABLE! :) > > > > *blush* (hmmm.... maybe I should just have stuffed it into a > gif-to-ascii converter and posted the result.... saved myselef some > trouble... ;) > Well...you can see the difference between an 'hand made' ASCII and a converted ASCII...it wouldn't been that good...cause of the shadows and things like that ;) BTW..tell me..how long time did you use to make that last waterfall? -- _____ .' ) Bjorn Bratli / _/ / / Home at Smurf Willage: / `'-_ DaS...@Smurfbyn.org | ------`) \ ,-'� (.).)\ ...Smurfing on... * \/ . ) ) /_\ ( C . `' / My Teddy Bear--> (~._.~) \^^\_'-'. `''| (_Y_) (___ '-- '____ ( DaS...@lords.com ()-,-() '--//__ _/ \ DaS...@Internetaddress.com (_)-(_) | {_ \__/ ) http://home.sol.no/bbratli | \____/ \ / Smurf Willage: /'._.'\ http://www.freecounter.com/~thesmurf/ / /---\`\ / / .\ \--. /| |\__.--/ /.____/ |_/ | | | |BB. \_____/ / \ \____/ _____/ \___________---'�
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