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archives push me to post webmail :: xenii mail the hive :: for trading and raiding polymorph :: a cosmographia universalis chrisnelson.ca :: chiefwagonburner has a blog fortune cookie distro :: x's distro
Coop, that's pretty scary about the name changing bit. I'll be emailing you, so save me a C&P of said story. I'm sincerely glad everything is dandy.
jimmy I hate you! I hate all of you! That is what I believe! That is not a crime. If I murder you, because of what I believe, it is murder, no matter what I believe. And if it is a crime motivated by hate, then my beliefs are a factor of that crime. My motive was due to a belief, that did not allow me to treat the victim as an equal, as a human being. I am deeply disturbed, and deserve additional treatment, if not additional punishment. Perhaps we all harbor a bit of hate, and that is what makes "Hate Crimes" so distasteful, not the rationality of them. This of course was not an actual portrayal of my beliefs. I really love you all! What I meant to portray was that I might be tolerated, even though I had a hatefulness, as long as I didn't act on that hate. Who I really hate are Republicans! "We the People..." How much longer will this administration parade in front of "The People...", all of these injustices that it is want to have enacted; before "The People..." will rise up and stop them? It may take that kind of revolution! These guys are playing for keeps! They are in no way supportive of Democracy, "...for the people, by the people!" They enact their laws by mandate and through lies which portray complacency. How can any "Free" man agree with or allow that? Actually I know a few Republicans who I might not push off the train. But in reality, if they (these NeoCons) continue to attempt to rule decent people into a fauve slavery (which is the only thing upon which they can base their economy), then I am for pushing all of them off of the train, and good riddance! Now, is that a hate crime? Even if it is only a thought experiment? Guilty as charged! When they knock down my door, and with the new "Homeland Security" it will likely be soon, I will not deny my total hatred for all things Republican! They deserve no breath of life, and I will grant them no air! HAHAHAHAHAHAHAHAHA! I'd love to see GW's face when one of his security people point this post out to him! Aw well! I deserve whatever they can throw at me. And they'll deserve the same, whether it's terrorists or karma that gets them! I'm off to the darkened city! Jimmy, I don't know which day, watch Conan both days. May be Monday, maybe Tuesday, maybe Nosday! Here's to hoping the trains are running (we're going by rail). In this day and time, perhaps most folks are lucky to have clean water! Peace All! Awwa \A/
Aw I had heard of it before as well, Jimmy. Maybe it is one of those things where make an announcement after every stage of testing. Jimmy, you know at least one Underwear Gnome: STEP 1: Make up imaginary products. STEP 2: STEP 3: Profit.
chiefwagonburner hey hey, In southeastern Mass., we had nothing resembling a blackout yesterday. I didn't even know about it until I got home from the hospital (I'm still pregnant and all is well - long story - email me if you really want to hear it!) and turned the news on. Of course I got eleventy-three phone calls from freaking out relatives about whether or not we had power. Heh. Hoping everyone in the NY metro area and points west is staying cool today. The funny part for me was that I did get stuck on the train due to a power outage on Wednesday. Somebody ran into a telephone pole near the tracks and the signals were all out. So we were marooned between South Attleboro and Attleboro for about an hour. Never linger between these two towns if you can help it. I've got to take a picture of the stump dump / yard ornament assembly that we were stuck next to sometime... Oh my Jimmy. Your walmart-pickup joint story made me laugh. Then again, I am from one of those small towns where walmart is The place. I suspect that the pickup joint action, however, has moved to Home Depot. Walmart's been there for 10 years already. Been there done that. Hee! Have fun in the motel this weekend with nothing official to do. Business trips are all like that in my experience. I used to be the weird one who sneaked off midway through "Hospitality Room" time at conferences and went to pickle myself in the pool until closing. (having no desire to get smashed with 2,000 commercial real estate brokers, not to mention the 3 guys I went to conferences with) There is something deeply satisfying about having a rooftop hotel pool all to yourself and someone else is paying. hehe. The thing I love about the CA recall elections is the randomization of names on the ballot. In Rhode Island, a lot of people have legally changed their names (like adding a leading "A") to make themselves come out first on the ballot. Imagine reading through a ballot with names like aKennedy, aSmith, aAardvark. The fucked-up thing about Rhode Island is that this technique wins elections. Ouch!
coop By the way, I hope that Coop and Jeffron and anyone else who may be in the blackout area is doing ok! ____________________ Tell me what you think. Every night at dinner, I and Anna G., the 'eccentric aunt', discuss the status quo with a very intelligent, very well educated, very polite and very rabid republican. One of the things he said last night got me thinking. The discussion led me to ask, "well what about hate-crime?", though I forget what we were talking about beforehand. His argument was compelling. "I don't believe in hate-crime", he said, and he gave the reasons. He questions the categorization "hate-crime", he said, because a crime is a crime, and a murder is a murder. It isn't fair he said, to punish a person more severely for the crime of murder if the motivation for the murder was race. A person should be punished according to the crime, and motivation should not be a factor. In this case, if a member of a neo-socialist Nazi Youth kills a Jewish man and his motivation was that the man was a Jew, the crime is still murder. Murder is murder, and he should be punished for murder. To make it otherwise (and punish them more severely for murder and hate-crime) is to further accentuate people's differences in a society which tries so hard to be egalitarian and view all human beings as equal. (He would be the best arguer of his point, and I may not be representing him properly, but this was the gist.) The laws are created to protect the people, he said. They should do just that, and a person's beliefs should be left out of it. I was sure I had thought about this, but not in terms of hate-crime categorization, and I, as if hypnotized, slowly came to agree with him...lazily...in a trance...until I was agreeing completely. Well...almost completely. It was a very good argument, but I began to think it was flawed. My brain began to spit out images, like the villain in Flash Gordon was scanning my memory and displaying it on a screen. Murder cases in which the criminal was insane, developmentally disabled, suffering from severe premenstrual syndrome, post-partem disorder, and many other conditions are enough to alter the form or severity of punishment in these cases. This is rational. The issue is still murder, but the criminality is removed from the equation, and the motivation considered. This is perfectly rational. If it is rational, varying a punishment based on motivation is rational. Then I remembered a thought experiment I babbled about in a philosophy 101 essay about the crime of jaywalking at 3 am when no cars are on the road. The law is broken, but its telos is not violated. It's telos is to protect people from being hurt when pedestrians cross against the light or stray into traffic. If there is no traffic at 3 am, then there is no problem, right? Well, I would still argue that yes, it's still a crime against society, because violating laws with the rationale that their telos is in tact creates all sorts of issues in which people police themselves...but the form of this analysis is important. Murder. If a man kills his neighbor, Ed, for no other reason than the fact that Ed was extremely annoying, he is only brought up on murder charges. If a neo-Nazi man kills a Jewish man, for no other reason than the fact that he hates Jews, he should be punished for the crime of murder and additionally for a hate-crime. This is because in the first case, the victim could only have been Ed. The crime of killing Ed should be for murder, and if it involved breaking in to Ed's house, it should be compounded with breaking and entering, assault, and what have you. (I'm not a fucking lawyer.) Punishment for the motivation of hatred is important, because in this case, the victim is nearly random. If you murder an African American solely for the reason that they are African American, your victim could have been any 1%-52% of the population. Both crimes are crimes against society, but I should hope that if anyone's behavior puts that many people at risk, such as driving drunk gotta go!!! stuff is happening. Oh, like you care!
jimmy That's lucky, Awwa. I first heard Belle and Sebastion in Oregon on a wonderful trip...a song called "Sleep the Clock Around", which sold me to them. Then the forum's own Anna burned me a cd when I payed her a short visit at her old school. I love 'em! I'd heard of them before all of that, but after a few lines in High Fidelity I was overly curious. Awwa, I'll be looking for you on Conan O'Brien...is that also going to be on August 19th? ___ Chief, the news confuses me sometimes. Once every few months a similar story is printed as though it's new news, but I feel like this particular story has been recycled at least four times. Perhaps it was for less hardened extremophiles, like the one mentioned in the article. I have seen published scientific documents from as early as 2002 regarding "strain 121", though this particular article is dated today and references a paper from as late as last thursday. I've also read an article in OMNI magazine about the same or a similar strain, and I haven't touched that magazine in at least four years. Each time the story is published, the same comments are made about life on other planets and a 'newly discovered' class of bacteria. Derek Lovley and Kazem Kashefi have had other interesting finds...like the 'gold bugs'. These microbes eat non-valuable or non-usable forms of gold and secrete more profitable poop. STEP 1: Get microbe poop. STEP 2: STEP 3: Profit. ( I don't know any Underwear Gnomes personally, but I respect their work.)
jimmy "Usually culture is eroded slowly enough that you don't really notice it..." Drink liquor, Then bicker. Nothing ruins, Marriage quicker! -\A/- I am going to see and hear Bell and Sebastin in Central Park, New York City, Tuesday, August 19! My best bud (we'll call him DaaLeeLama to protect the innocent, Heh) is who I will be traveling with! We plan to hear the "sacred trombones" on Sunday, "Harlem Day" our first day there. Then Monday may be the Conan O'Brien Show! Look for the portly gentleman with the Fu Manchu, pointy beard (that'd be moi, Awwa)! We have forays planned for Times Square, a burlesque show, Rockerfeller Center, and just fooling around. Suggestions are welcome! Thanks Anna! I tried it and got the "Page is Undisplayable" message, possibly meaning that it was busy. And bet it is, if Saturday, they will get bombarded by all of those who still possess the worm! So far (knock on wood) I seem to be clean. But then it's a matter of time. I shall endeavor to get that, and all other patches as soon as P! I'm listening to a CD that DaaLeeLama gave me of Bell and Sebastin. It's very pretty music. I doubt that I'll recognize anything that they play. That generally gives me some point of reference, recognition. At least I've been exposed. The music is nice, harmonic singing, guitars and rhythm. Some love songs, nothing too complex, to perplex! Peace Y'all! Awwa \A/
Aw Everything else looked fine. Ha ha indeed. Newly discovered microbe lives in 121C water, does not use either oxygen or sulfur in respiration. Instead it uses iron to burn its food for energy. Eeeiinteresting. Jimmy, me like. Scavenging the net for more. I heard this guy's tracks on The World (bbc music) a few weeks ago. No cd, but he has some streaming stuff on mp3.com that you can listen to. His music is electronic and mixes the sound of Mexico City - street vendors, musicians, etc. Walmat is a pickup joint? May god(s) have mercy on us all. Usually culture is eroded slowly enough that you don't really notice it - but then, you hear something like that and it slaps you in the face. If the majority of small(ish) cities have walmarts, that probably means they have killed off most of the other stores in town. Just think.. millions of people in this country are probably wearing the exact same clothes they got at walmart last week. Maybe it is just my silly north american ideas that make that seem weird - I have heard that in some places (parts of Italy for example) it is considered very fasionable to be wearing what every other person on the street is wearing. The sad thing to me is the homoginization of our different cultures.
chiefwagonburner I just received notice that the Kuang2 trojan horse has infected my computer (at home). COX cable notified me, and my roommate turned my computer off for me, saying "all I saw was a blinking message on your screen saying 'Ha Ha', everything else looked fine." Hi-ho. So anyhow, I've been listening to this song at about the same times of day other people would be taking a cigarette break. That means over and over again. I heard of these guys on NPR one day, driving home. I downloaded several songs from their album immediately. What a pretty little internet we have. They're called the Super Furry Animals. They have prettier songs, but this one's composition amazes me (in one part). Cellos and violins. Pretty, pretty pretty. So people in Louisiana eat large meals. Large, greasy, deep fried meals full of animal parts you've never heard of. If you're a vegetarian, you have to be creative in order to eat properly. If you're a vegan, you'll starve to death. There will be literally no place to eat for you. I mean, if you're on a business trip and have no kitchen of your own. I have asked several people what they do for fun...like...what is there to do that you dress up for? Answer: Walmart. Response: Huh? Answer: We go to Walmart. Everyone goes there. It's a pick up joint. On Friday I'm off the hook. I get to stay in a hotel in Shreveport until Sunday with nothing on the agenda but martinis, jazz, and possibly the casino. So far, with nothing to do, I stay in my hotel reading on the john or falling asleep watching X-Files. In the morning, I eat breakfast and read about space. Then I go to work. Then I come back to the hotel, read on the john and fall asleep watching X-Files. In the morning, I eat breakfast and read about space. Then I go to work. Then I come back to the hotel, read on the john and fall asleep watching X-Files. In the morning, I eat breakfast and read about space. Then I go to work. Then I come back to the hotel, read on the john and fall asleep watching X-Files. In the morning, I eat breakfast and read about space. I've been asleep in Louisiana since Monday morning.
jimmy They already validated the 130 candidates for our wild and wacky recall election, so I'm afraid you're too late. Everyone and their uncle came out of the woodwork. Anyway. Just do this, Awwa. Go to your start button. Click on it. Find "Windows Update" on start menu. Click on it. That should take you automatically to the correct place for downloading any critical security patches you may need, including the one for the new woim. I have a machine that is less than a month old and I needed 16 security downloads, so you are sure to have some. I advise getting them all.
Anna I oughta run for the Governator of California! Hey, it could happen! What's this all about? I did a search for the critical patch for the new worm. I got: "New worm poses as Microsoft patch.New Worm Poses as Microsoft Patch New Worm Poses as Microsoft Patch 'Gruel' also impersonates Symantec tool, lifts Outlook addresses.ZDNet UK - News - Microsoft patch freezes some systems ... Monday 28th July 2003. Microsoft patch freezes some systems. Microsoft patch causes Blue Screen of Death - theage.com.au" When I typed in "http://www.windowsupdate.com", I got: "Thank you for your interest in Windows Update Windows Update is the online extension of Windows that helps you get the most out of your computer. The latest version of Windows Update is available on computers that are running Microsoft Windows 98, Windows 98 Second Edition, Windows Millennium Edition, Windows 2000 (except Windows 2000 Datacenter Server), Windows XP, and the Windows Server 2003 family." I'm running XP, one of the less than a year old versions. There was nothing clickable, nothing to go on from there. That was the address that was listed in the news articles that I read. I must be doing something wrong. Gosh, I hate technology! Well in at least in as much as it always demands that I do something that I have no idea s to how to do! WORM be damned! Jimmy, Heh! Your desriptions are always delightful! Hope everything worked out okay! I suspect, as far as the South is concerned, that Louisianna is one of the more open minded states. However, the short, one/or few word answer may be common where-ever you go! "Aye-Yah!" "He was kinda funny looking." -("Fargo")- Peace Yo! Awwa \A/
Aw Ok, it's been suggested that my post was misanthropic. :-/
Anna Fuck. I lost my post. Oh well. Hi.
jimmy Sicko. I can't watch that, too painful. Too much free time for you. Anna - Yeah, it is kind of amazing that we have these attachments to rocks. One would think that the most desirable stones would be the rarest - like Alexandrite. Funny to think that stuff like gold (aside from recent use in computers and of course teeth) has no real value other than historical/visual impact. My link of the day: Political Conservatism as Motivated Social Cognition - A study funded by the US government, too funny.
chiefwagonburner 
jimmy Jimmy! Such comedy. Chief, the diamond stuff is really interesting. When I got engaged I told Mac not to buy me a diamond because I was really concerned about the ethical implications. Turned out his mom really wanted me to have her old engagement ring (diamond and sapphire). I agreed to wear it for sentimental reasons, but then I really wanted to have the diamond lowered in the setting so it wasn't so...I don't know...conspicuous. But the jeweler we consulted about it said I was crazy. It took me close to a month just to get used to having it on my finger.
Anna Jimmy, you silly bastard. Interesting site: Glowing Evidence - visual representation of what pesticides would look like if we could see them. This is interesting. August 8, 2003, the IRS was unable to convince a jury in Memphis, Tennessee that the Federal Tax Code requires the citizens to pay individual income taxes. Saw this story on wired: Diamond Wars. The obligatory diamond story: Ever tried to sell a diamond?
chiefwagonburner I am in a state whose name I can't spell without a reference: Louisianna? The trip to Monroe involved two 757s, one tiny turbo prop plane, one prop plane, and a Greyhound busride from a city that looked like the set of a period piece. Southerners are very polite and sincere. And...'slow', but not dumb slow. Ok, not always dumb slow. It's almost like a lifestyle choice. Things I noticed: If you say something to a native LA person, like "so it's not down the street?", they will say "yes", meaning "it's not down the street". But they'll only say "yes", expecting you to know what they mean. Yes, I got lost this way. Yes, twice. Yes, I encountered the problem again. Perhaps they're right. I mean, it answer's the question properly...but like...oh fergit it. I also encountered it the opposite way. Where "yes" would mean "no, it is down the street." Most [people would clarify, but I guess not so much on the Bayou. Take a white southern woman...keep her mannerisms, do up her hair slightly and put her in the dress the rich cotton farmer in the 1800s, and you couldn't tell that she belonged in this modern world. I guess what I'm trying to say is that even the people seem like period pieces. I'm only noticing it in the women because 95% of our clients are women. Maybe it's me. Or maybe it's because actors and actresses who want to imitate the southerners of old have only the living to model themselves from. But the women here have this way of keeping their heads raised-a kind of inborn pride. The most embarrassing part of my trip (not including drunkenly asking the hotel operator if the titles of dirty movies ordered at the Holiday Inn would show up on my bill-yes, like Afro Whores) was when I called the hotel from outside the Grey Hound station. them: Holiday Inn, this is Danny, how can I help you? me: I have a reservation for your hotel and I'm at the Greyhound station. I'm wondering if you can provide a shuttle for me because it's raining and I can't get a cab. Danny: Um...ok, we'll send one right over. me: Ha! Don't you need anymore information from me? If not I'm going to start using you guys for free rides in every city! Danny: Sir, you're right across the street. I can see you from my window. me: Oh, uh, yeah. *blushing miserably*
jimmy Okay, as long as I'm spamming again. I'm not nearly so down and out as I make it seem. Oh the Drama! I have a job, I have my health, transportation, home (well I rent an apartment) and hearth. I'm okay, really. But somewhere underneath this thin veneer of normalcy, there rages a beast that can not be satisfied. Heh! But it's kinda a nice beast, like in "Beauty and the Beast." Well sorta. I guess my beast is what keeps me going. Perhaps many or most of us have one. Give me the knowledge to change my world, and the wisdom to know how that should be done. Give me the serenity to accept those things which I can not change. And please, please give me the bit of satisfaction, that my life is/has been a job well done! Give that to everyone! Amen! Peace All! Awwa \A/
Aw That was harsh! I put on a Cranberry CD and found a quieter, more peaceful place. I mean no bad Karma. Perhaps I have no direction, "does anyone care, does anyone care, does anyone care, does anyone care, does anyone care..." Heh! It kinda settled me bacj down. I met a guy tonight at the local berr joint. He was well versed in normal Art talk, even in the math, fractals and all. It made me hopeful. Then he mentioned that his compliment, Allison and Daffny were regulars at a Karoakee bar. That I should seek them there. I am still doing Arte.Morphs. Possibly 200-500 a day. I gave up on showing them. I gave up on convincing local art historians that this work is important. I gave up on making the work matter to anyone else than me. Now I am happy. I keep doing the Arte.Morphs as fast and as many as I can, every day and night! I have thousands of them! I may become the first Artist to have a million Art pieces. I'm not particularly interested in whether the G Book of Records knows that I am a record holder. None of that matters! And there will never be enough money to make this worthwhile! No one person, nor mulitude can realize what has happened! I have already created it! It is what makes an Artist an Atrtist. I may not be that Artist... I do live it everyday of my life! Peace and Prosperity for everyone! Self Realization, for every living being! Awwa \A/
Aw Damn! That's exciting Jimmy! I don't have to know what it means! What's weird is that I'm watching a "Girls Gone Wild" video, so I am influenced by other hormones/ Art.eTrobes. Is that a word? Hey, I got the hat! To those who are subscribers, they sent out three videos (instead of the one) this month and the hat! I went to the local bar and received compliments on the hat. It was absurdly like reccognizing something that is meant to be unPC. I was the "Norm" in an otherwise, normal bar, but with an absurd abnormality. Aw well! Here's something I wrote tonight. Poo poo poo poo poo poo poo poo wee wee wee wee poo poo poo poo Peace All Awwa \A/
Aw  
jimmy Yea, that's it! Thanks Jimmy! I knew what I was seeing wasn't new. I just didn't have any references for it, except my observations. There does seem to be one difference though. I'm rounding off the corners and nesting the balls in alternatring rows. Okay two differences. Anyway, this is like when you rack pool balls. They are not aligned so that are in even rows/columns (as in the squares you present). I may be trying to round the figure into a more circular shape. Squares offer more volume (by circumference) than circles. Thus circles are more compact. It's just that you can't always make things fit to a curved surface, or the inverse, fit two curves against each other. So my solution of alternating the rows (horizontal rows, and verticle columns, as well as diagonal rows) may actually offer a more compact design. I understand the two triangles, pressed together creates the squares. I also understand how you calculate the sum of sequential numbers, by adding them to their reversed sequenced partners, multiplying the total number of numbers to be added, dividing by two. That's a cool trick! Karl Friedrich Gauss sounds like an interesting person to read about. I'll have to look him up. And of course Bucky is/was great! As a (early college?) young man I was fortunate eniough to hear him speak about his geodeisic (sp?) dome. I believe it was part of a pre-Epcot Center tour. Apparently Buckminster Fuller was quite an excentric! I believe he ran a studio workshop somewhere in the Applachian (East coast) Mountains. The documentary I saw (if I remember correctly) stated that he was a real showman, almost moreso than a legitimate scientist. At least that was as he was judged by his peers. But he didn't let that stop him from running his snake-oil/medicine show, Heh! He was crazy about his tetrahedron (the simplist 3-dimensional figure composed of 4 triangular sides, basically a pyramid with three sides and a base), this being the strongest shape for engineering design. Have a good, safe trip to LA (Louisianna! Another gig? I missed the memo. Anyway, whatever your plans may they be fruitful and enjoyable! I, on the other hand, will be going to New York City, 17-20th. We're planning to see that Harlem trombone troup, that plays at a church. Apparently they consider their music to be sacred, or divinely inspired, and thus do not record it. You have to come to their church to hear them. Also on Tuesday night there's a concert in Central Park that we plan on catching. I can't remember who's playing right-off. But I believe that it's a fairly new band, one my buddy has heard and talked about a bit. So I'm up for the adventure. We plan to try to get seats to see a Conan O'Brien Show. Something about going early and getting "standby" tickets. And we may check-out the Googenheim (sp?) Museum. Found a hotel on the Net, in downtown Manhatten (a few blocks from Times Square), with a $80/night room for two, with two double beds. It'll be fun just chilling out and seeing what the "Big City" is like, Heh! I have been once before, but with my parents. This time, I'm old enough to drink, HA! Any body have any suggestions of restaurants or places to see, please advise. Peace All! Awwa \A/
Aw Awwa, that isn't even supposed to post. I'm working on a web page describing number sequences and what you're dealing with. It was when I tried to kill the window that was in and transfer the code to an html page that the blogger asked me if I wanted to save the text. I didn't think it was going to "post" it. Heh. I might not have time to finish the page, but I'll work on it anyhow. It's about polygonal number series, like triangular numbers, square numbers, pentagonal numbers, etc.. as well as closest packing of spheres, which is the reason for that hexagonal arrangement in your first post. I'll let you know when I finish it. Probably later on today, but my Louisiana trip is tomorrow. Basically what you are seeing with the diagonal sequences is the fact that "square numbers", 1, 4, 9, 16, 25...are actually composed of two consecutive triangular numbers, which are the numbers 1, 3, 6, 10, 15 (that is, 1+2+3+4+5...+n). In essence, this means that a square is composed of two triangles. You will notice that the first two triangular numbers added together are 4, which is the second 'square' number. The numbers 3, and 6, the 2nd and third triangular numbers, added together make 9, the third square number. All of these and other properties are easily illustrated by the following diagram, scanned from Buckminster Fuller's "Synergetics":  Notice that diagonally from a square, you will count an even number of rows in one triangle, and an odd number of rows in the other (this is because they are consecutive) . Anyhow, this is what you're noticing. Triangular numbers are wild. The 9 year old Karl Friedrich Gauss understood them perfectly. When his class instructor asked the students to add up the numbers 1, 2, 3, 4, 5, ..., all the way to 100, Gauss returned the number immediately while the other students struggled to add them all up individually. Here is what he did: Say you have some series N which is composed of the counting numbers, 1, 2, 3, 4, etc., all the way to 10. You want to know what the answer would be if you added them all up. The series is like this: N= 1 2 3 4 5 6 7 8 9 10 You can create an exact copy of this series, but list them backwards. That is, N'=10 9 8 7 6 5 4 3 2 1 If you want to know what N+N' is, all you need to do is add the numbers vertically first....that is N= 1 2 3 4 5 6 7 8 9 10 N'=10 9 8 7 6 5 4 3 2 1 Notice that when you add N and N' vertically, each pair of numbers yields 11. 10+1, 9+2, 8+3, etc.. This means that N'+N actually equals the sum of 10 sets of 11, or 10x11. This equals 110. However, this number is twice what we were after, since N and N' are equal and we added them together, so dividing 110 by 2, we arrive at 55. That's it. We now have a method. 1+2+3+4+5+6+7+8+9+10=55. This is the same for ANY series of counting numbers, and with even more manipulation you can do more complex things. What Gauss did to get his answer, was multiply 100x101 and divide the result by 2. I can't remember whether he actually had to write anything down. He is said to have been a calculating prodigy, so he may not have written anything down. Anything would have been better than trying to write down 100 numbers and add them up. Interestingly, the sum of consecutive odd numbers also equal the squares....i.e., 1+3+5=9, the third square. 1+3+5+7=16, the fourth square. This is illustrated by the following, scanned from 1999's geekiest notebook:  The squares formed by the collection of unit squares are, as you can see, formed by adding a series of consecutive odd numbers. I didn't want to post so much, but it got out of hand, sorry.
jimmy Thanks Jimmy. I'm not sure what that means, but thanks, Heh! I noticed that if you take a squarable number like 16 and placed balls into an even square, 4x4, that diagonally the numbers were sequential: 1 ball, 2 balls, 3 balls, 4 balls, 4, 3, 2, 1 ball. I guess I'm just noodling around the idea of whether square numbers have some impact on groupings of objects. Associating the invention/discovery of squares and square-roots (exponents), by someone who was attempting to measure plots of land, or size/quantity of merchandize, by calculating the sides and thus deriving the amounts/volumes/size. I was only briefly exposed any of that Calculus/Trig back when I was in High School (when dinosaurs still ruled the land). So I'm not sure if I'm thinking about some of that too; co-sines, trigonomic functions, slide rule stuff, etc? =============================== =============================== Okay so I'm spamming sorta. These are a few Awwaisms that I posted recently at my Yahoo group. =============================== I Love Nudity! Stark Raving Naked! =============================== Wealth Having enough is... Never having enough. =============================== Prodding I respond best to a cattle prod. I respond better to kindness. =============================== I ran I ran and I ran, but I could not hide. I ran some more, wild and wide. I'm still running, but I'm running out of time. One day I may stop running, I ran no more. It won't be because my feet stopped moving! It'll be because of that US Whore! =============================== The Department of War Now! The Department of War Now wants to confiscate your books! The Department of War Now wants to confiscate your dirty looks! War Now declares War Now on everything that you believe in! War Now wants War Now, Forever, and even in the evening. =============================== Egonomics The act of designing the economy around your needs. =============================== Peace ALL! Awwa \A/
Aw 
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