Suchian Musings And Ramblings About General Designs Involving Notable Estuaries

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  • edited 2014-05-31 15:18:27
    ...And even when your hope is gone
    move along, move along, just to make it through
    (2015 self)
    Day 111 without a goblins update. One more day and it will be the summer month. Thirteen more days and it will be over a third of a year.
  • ...And even when your hope is gone
    move along, move along, just to make it through
    (2015 self)
    Since this comic has only advanced on the order of seconds since 2010, not even a full minute...
  • ...And even when your hope is gone
    move along, move along, just to make it through
    (2015 self)

    This scene, assuming a very generous sixty seconds (I say its about half that that has passed), has passed thus at, as of tomorrow, at just less than 1.5 seconds a month since way back in 2010.
  • ...And even when your hope is gone
    move along, move along, just to make it through
    (2015 self)

    And we still don't know how Dies is doing

    Oh dear, if the next page is about Dies, I am going to be so dang ticked because I've been reading this comic update by update since Brassmoon.  I am going to get the sheet off of a pool, go to Canada where Tarol Hunt Lives, and whack him with the sheet of the pool in a quasi-swearing pun of ultimate frustration because I've been on this cliffhanger since 210 and I chewed on my fingernails so much I don't have any arms anymore so I have to chew on other people's fingernails, and I've been on the edge of my seat so long that there is no seat anymore, and I'll be danged if the next page is about that Messed Up Piece Of Food that K'sellis didn't get to eat.

    And you know how much I hate to even approach anything that could be constructed as swearing.

    Tarol hunt, if you are reading this, do not go back to Dies and Co if you value your not-being whacked-by-me.

    I mean, seriously, I just might save up for a few months to get an airplaine and buy a pool sheet just to whack you because nobody should be able to get away with that unpunished.
  • ...And even when your hope is gone
    move along, move along, just to make it through
    (2015 self)
    Also, Rozburg and Centralia are at war (which might be an issue if Rozburg had any roads, and if magic and metal and gunpowder and electricity were able to be used, and I'd the Centralia military cavalry wasn't on horses, unicorns, ponies, etc. {non-cloven hoofed hoofed animalscannot get through swamps} or if Rozburg had an army.)

    Basically, Rozburg is impossible to invade but lacks an at!y to attack.
  • ...And even when your hope is gone
    move along, move along, just to make it through
    (2015 self)
    Feel free to comment, or bring up anything from earlier pages. This thread isn't as fun when it is just me talking to myself.
  • imagei will watch the heck outta this pumpkin patch
    All right, then.

    Didn't the events resulting in your declaration of war happen in an alternate universe?
  • ...And even when your hope is gone
    move along, move along, just to make it through
    (2015 self)
    Yes, but, well, in any universe, Amugdaloud cream of ice is a valid causus belli.

    In the universe where Centie is good, Centralia refuses to stop sending candy to hungry children in Rozburg. But alligators don't realize that you aren't supposed to eat the wrapper, and furthermore, you need thumbs to unwrap candy. Also, an overabundance of laffy taffy puns is causing a severe drop in not-giggling-at-inopportune-moments, making it harder to be stealthy pseudosuchians. How do you pretend to be a log if you remember a pun and then giggle! Thus, criminals are harder to catch and thus can fly the co

    You know what they say: Crime flies when you're having pun.
  • edited 2014-06-02 21:24:44
    ...And even when your hope is gone
    move along, move along, just to make it through
    (2015 self)

    Wait, you're not supposed to eat the wrappers? Since when?


    You know what they say: too much exposure to the wrap gives you a dirty mouth.

    And and some are allergic to the peanuts in Eminems.
  • edited 2014-06-03 08:20:39
    ...And even when your hope is gone
    move along, move along, just to make it through
    (2015 self)
    Me either. Can we?

    Nah, considering the sheer awesomeness of the pseudosuchian stomach, we can probably eat anything except lettuce.

    !maybe peanuts are like lettuce?
  • imagei will watch the heck outta this pumpkin patch
    Do alligators eat vegetable matter?

    (Please do not construe this post as implying that eating M&Ms counts towards your 5-a-day, heapers.)
  • edited 2014-06-03 08:31:37
    ...And even when your hope is gone
    move along, move along, just to make it through
    (2015 self)
    Tachyon said:

    Do alligators eat vegetable matter?

    (Please do not construe this post as implying that eating M&Ms counts towards your 5-a-day, heapers.)


    We can, accccording to recent research.

    http://www.sciencedaily.com/releases/2013/08/130821124333.htm
  • ...And even when your hope is gone
    move along, move along, just to make it through
    (2015 self)
    Pastrami.
  • Is Rozburg a place of many bridges?

    Probably not. It's swampland, and gators would prefer to stay in swampland rather than walk above it. 

    You guys probably prefer girder bridges over suspension though, since suspension's for razzing-frazzing cars.
  • ...And even when your hope is gone
    move along, move along, just to make it through
    (2015 self)

    Is Rozburg a place of many bridges?


    Probably not. It's swampland, and gators would prefer to stay in swampland rather than walk above it. 

    You guys probably prefer girder bridges over suspension though, since suspension's for razzing-frazzing cars.

    Bridges between trees, for humans and other landbound animals, in the actual yown /city state of Rozburg. In the Rozburg wetland surrounding Rozburg, no bridges.
  • ...And even when your hope is gone
    move along, move along, just to make it through
    (2015 self)

    And they're girder or suspension?


    Girder.
  • ...And even when your hope is gone
    move along, move along, just to make it through
    (2015 self)
    The invention of gunpowder-or rather its use in war-appears at first sight a device little calculated to promote the general progress of mankind.  But it has been pointed out by some historians that the introduction of gunpowder into Europe brought about the downfall of the feudal system with its attendant evils.  In those days every man was practically a soldier:  the bow or the sword he inherited from his father made him ready for the fray.  But when cannons, muskets, and mines began to be used, the art of war became more difficult.  The simple possession of arms did not render men soldiers, but a long special training was required.  The greater cost of the new arms also contributed to change the arrangements of society.  Standing armies were established, and war became the calling of only a small part of the inhabitants of a country, while the majority were left free to devote themselves to civil employments.  Then the useful arts of life received more attention, inventions were multiplied, commerce began to be considered as honourable an avocation as war, letters were cultivated, and other foundations laid for modern science.  If such have really been the indirect results of the invention of gunpowder, we shall hardly share the regret of the fine gentleman in "Henry IV",

    "That it was great pity, so it was,
    That villanous saltpetre should be digged
    Out of the bowels of the harmless earth,
    Which many a good tall fellow had destroyed
    So cowardly."

    We often hear people regretting that so much attention and ingenuity as are shown by the weapons of the present day should have been expended upon implements of destruction.  It would perhaps not be difficult to show that if we must have wars, the more effective the implements of destruction, the shorter and more decisive will be the struggles, and the less the total loss of life, though occurring in a shorter time.  Then, again, the exasperated and savage feelings evoked by hand-to-hand fighting under the old system have less opportunity for their exercise in modern warfare, which more resembles a game of skill.  But the wise and the good have in all ages looked forward to a time when sword and spear shall be everywhere superseded by the plowshare and the reaping-hook, and he whole human race shall dwell together in amity.  Until that happy time arrives-

    "Till the war-drum throbs no longer, and the battle flags are furl'd
    In the Parliament of man, the Federation of the world-
    When the common sense of most shall hold a fretful realm in awe,
    And the kindlly earth shall slumber, lapt in universal  law"-

    we may consider that the more costly and ingenious and complicated the implements of war become, the more certain will be the extension and the permanence of civilization.  The great cost of such appliances as those were are about to describe, the ingenuity needed for their contrivance, the elaborate machinery required for their production, and the skill implied in their use, are such that these weapons can never be the arms of other than wealthy and intelligent nations.  We know that in ancient times opulent and civilized communities could hardly defend themselves against poor and barbarous races.  But the world cannot again witness such a spectacle as Rome presented when the savage hordes of Alaric swarmed through her gates, and the mighty civilization of centuries fell under the assaults of the northern barbarians.   In our day it is the poor and barbarous tribes who are everywhere at the mercy of the wealthy and cultivated nations.  The present age has been so remarkably fertile in warlike inventions, that it may truthfully be said that the progress made in fire-arms and war-ships within the last few years surpasses that of the three previous centuries.  Englishmen have good reason to be proud of the position taken by their country, and may feel assured that her armaments will enable her to hold her own among the most advanced nations of the world.  We shall bring before the reader a description of some of the improvements in artillery, beginning with
    RIFLED CANNON
  • ...And even when your hope is gone
    move along, move along, just to make it through
    (2015 self)
    So, let's go back to our Matildas, our aeleanor of Aquitaine, our White Ship

    PR shall I start a new history story?

    YOU DECIDE!
  • ...And even when your hope is gone
    move along, move along, just to make it through
    (2015 self)
    I decide ubuvuvubininkvrget.
  • ...And even when your hope is gone
    move along, move along, just to make it through
    (2015 self)
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  • ...And even when your hope is gone
    move along, move along, just to make it through
    (2015 self)
    -.-. --- -.-- --- - . / .- -. -.. / .-- --- .-.. ..-. / .- .-. --. ..- . -.. .-.-.- / .-- --- .-.. ..-. / ... .- .. -.. / - .... .- - / .-- --- -- . -. / ... .... --- ..- .-.. -.. / .... .- ...- . / -... .- -... .. . ... / .. -. / - .... . .. .-. / .- .-. -- ... .-.-.- / .--- ..- ... - / ... .... .- -.- . / - .... . .. .-. / .... .- -. -.. / .- -. -.. / - .... . / -... .- -... -.-- / .-- --- ..- .-.. -.. / ... - .- -. -.. / ..- .--. / .-- .... . -. / - .... . / .-- --- -- .- -. / ... .... --- --- -.- / .... . .-. / .- .-. -- .-.-.- / -.-. --- -.-- --- - . / -.. .. -.. -. .----. - / .-.. .. -.- . / - .... .- - .-.-.- / .... . / ... .- .. -.. / - .... . / .-- --- -- .- -. / ... .... --- ..- .-.. -.. / .... .- ...- . / - .... . / -... .- -... -.-- / .. -. ... .. -.. . / .... . .-. / .- -. -.. / ... .... --- ..- .-.. -.. / ... ..- ..-. ..-. . .-. .-.-.- / .-- --- .-.. ..-. / ... .- .. -.. / - .... . / -- --- - .... . .-. ... / ... .... --- ..- .-.. -.. / -. --- - / .... .- ...- . / - --- / -. ..- .-. ... . / -... .- -... .. . ... --..-- / - .... . -.-- / ... .... --- ..- .-.. -.. / -... . / .-- . .-.. .-.. / --. .-. --- .-- -. / .-- .... . -. / - .... . -.-- / .-- . .-. . / -... --- .-. -. .-.-.- / -.-. --- -.-- --- - . / .-- .- -. - . -.. / .-- --- -- . -. / - --- / -. ..- .-. ... . / -... .- -... .. . ... .-.-.- / .-- --- .-.. ..-. / .-- .- -. - . -.. / . ...- . .-. -.-- - .... .. -. --. / .-. . .- -.. -.-- / ..-. --- .-. / .--. . --- .--. .-.. . / - --- / . .- - .-.-.- / - .... . .-. . / ... .... --- ..- .-.. -.. / -... . / -. --- / .... .- .-. -.. / - .. -- . ... / ..-. --- .-. / .--. . --- .--. .-.. . .-.-.- / -.-. --- -.-- --- - . / -.. .. -.. -. .----. - / .-.. .. -.- . / - .... .. ... .-.-.- / .... . / .-- .- -. - . -.. / - .... . / .--. . --- .--. .-.. . / - --- / .-- --- .-. -.- .-.-.- / .-- --- .-.. ..-. / ... .- .. -.. / - .... . .-. . / .-- --- ..- .-.. -.. / -... . / -. --- / .-- .. -. - . .-. ... --..-- / -. --- / ... -. --- .-- .-.-.- / - .... . .-. . / .-- --- ..- .-.. -.. / .- .-.. .-- .- -.-- ... / -... . / -... . .-. .-. .. . ... / .- -. -.. / ... . . -.. ... / ..-. --- .-. / .--. . --- .--. .-.. . / - --- / . .- - .-.-.- / . ...- . .-. -.-- - .... .. -. --. / .-- --- ..- .-.. -.. / -... . / .--. .-.. . -. - .. ..-. ..- .-.. .-.-.- / -.-. --- -.-- --- - . / --- -... .--- . -.-. - . -.. / - --- / - .... .. ... .-.-.- / .... . / .-- .- -. - . -.. / .-- .. -. - . .-. ... / .- -. -.. / ... -. --- .-- .-.-.- / -.-. --- -.-- --- - . / - --- .-.. -.. / .-- --- .-.. ..-. / - .... .- - / .... .. ... / ..-. .- - .... . .-. / - --- .-.. -.. / .... .. -- / - .... .- - .-.-.- / -. --- - . --..-- / .-- .... . -. / .- ... -.- . -.. / .-- .... --- / .-- .- ... / -.-. --- -.-- --- - . .----. ... / ..-. .- - .... . .-. --..-- / -.-. --- -- -- --- -.. --- .-. . / .-. . .--. .-.. .. . -.. --..-- / .-..-. -. --- -... --- -.. -.-- / -.- -. --- .-- ... / .... .. ... / ..-. .- - .... . .-. .-.-.- / -. --- - . --..-- / -.-. --- -- -- --- -.. --- .-. . / .. ... / - .... . / -. .- -- . / --- ..-. / - .... . / -. .- - .. ...- . / .- -- . .-. .. -.-. .- -. / .-- --- -- .- -. / .-- .... --- / ... .--. --- -.- . / - .... .. ... / .- -. -.. / - .... . / .-.. .- ... - / ... - --- .-. -.-- --..-- / .- ... / .-- . .-.. .-.. / .- ... / -- .- -. -.-- / --- - .... . .-. ... --..-- / - --- / - .-. .- -. ... .-.. .- - --- .-. / .-.. .. .-.. -.-- / .--. . - . .-.-.-
  • edited 2014-06-17 17:05:07
    ...And even when your hope is gone
    move along, move along, just to make it through
    (2015 self)
    Wolf doesn't always lose. Coyote wanted summers and winters to last lifetimes until Wolf wished it to what they are now.

    To paraphrase one story to long to repeat verbatim, Wolf made all the plants, roots, seeds, and all such things edible. Coyote, of course, reacts as you expect, because before wolf did that, only Coyote could eat seeds (but others could eat roots, plants, and such. Coyote was ticked about seeds). Coyote went to the end of the world and found Tso'apittse, the rocky giant of the last mountain, where nothing grows because it is harsh and poisonous. From that mountain, Coyote poisoned all the berries and seeds so nobody but him and his wife could eat. So Wolf wished that people had a second stomach to take the poison while the first stomach takes the food. And Coyote ripped out his brother's second stomach, but after two days it grew back. What couldn't be fixed with the second stomach was fixed by boiling, cooking, or grinding. Indeed, in the end, things were better off for man because the poison protected many foods from beetle and his unnumbered family, and man had more food than he would otherwise.

    Coyote made the ocean salty, and Wolf made the saltwater fishes. Salmon and Eel were half in a river and half in the ocean when the change happened, but facing opposite ways.

    Also, Wolf wanted mountain ice to melt, and Coyote disagreed. Coyote wanted rivers of ice to flow over the land because the sun was too hot on his baby son, but Wolf said no and taught Coyote to dig so he could keep his baby son under the ground.

    Its about fifty fifty between the two brothers. Half the time, they turn each other's ideas against them.

    Also, it was Coyote who invented fire.
  • edited 2014-06-17 16:53:50
    ...And even when your hope is gone
    move along, move along, just to make it through
    (2015 self)
    Also, Coyote's idea was to have women have a second set of teeth in... yeah, I don't want to talk about that story.

    And a third in their armpits, a fourth on the nostrils, and a fifth in the ears, because Shoshone myth is strange, yo.
  • ...And even when your hope is gone
    move along, move along, just to make it through
    (2015 self)
    Not for nothing does Gunnerkrigg Court's Coyote have a teeth motif.

    In another story too long to recount verbatim, Wolf teaches Coyote to hunt, but teaches Coyote to always bring back every piece of what you kill in your hunt. When Coyote first hunts on his own, he killls one of Deer's herd and puts every piece of it in his mouth except for half a kidney, which won't fit. Wolf notices the missing piece and tells Coyote to go back and get it immediately. Coyote finds the half kidney and pounces on it, but it moves out of the way. He tries again, the half kidney moves more, until he is chasing it. It jumps up and flies away from Coyote, who cannot fly. Coyote comes back to Wolf, who stuffs him in a basket and says "I perhaps am to die. Whatever happens, don't watch, don't look, don't leave the basket. and make no sound". Wolf does the same to his family that he did to Coyote.

    Deer and his herd come, they now know who has been killing and eating them, but they think it was only Coyote who was doing so. They tell Wolf to give up Coyote and nobody else will have to suffer, and Wolf is all, " What are you talking about, deer? I haven't seen Coyote. Everyone knows kidneys are liars anyway. "

    And Deer's like, "Time to die, Wolf. You and all your family." and his whole herd shoots Wolf full of arrows but Wolf keeps on fighting and kills most of them.

    Coyote hears the fight and is curious, so he leaves his basket and looks through a peephole, where he sees Wolf die. Coyote cries, making sound that alerts Deer's herd to the presence of someone in that dwelling. Deer and his herd manage to take Wolf's family captive (since Coyote is Wolf's brother, this means Coyote's family, too. But, since Coyote's wife and kids are never mentioned in this story, and Coyote is just learning to hunt, maybe this is when Coyote was young.) except Coyote, who hides in his own mouth because Shoshone myth is weird.

    Coyote cries some more and then decides to track Deer and his herd for like seventeen pages. Every once in a while he leaves a bow and a bunch of arrows in the ground (he brought many bows and lots of stacks of arrows).

    So, Coyote finds Deer's two grandmothers, who have Wolf's pelt. They are jugling rocks, and Coyote juggles his eyes, which get stuck in a tree. Tgis distracts the grandmothers, Coyote kills them, hides Wolf's pelt in his mouth, kicks out the bones of one of the grandmothers and wears her skin as a disguise, and goes for another ten pages tracking Deer and his herd, doing the same bow and arrow dropping trick, but now shooting some arrows at the sky so he can cut holes in the blackness of his blindness (this makes the stars).

    Coyote goes to Deer's herd, infiltrates, steals Wolf's bones and guts from Deer's son, frees Wolf's family, and then fight happens. Coyote runs away with all the components of Wolf, chased by many Deer, but every once in a while he picks up a bow and arrows he dropped earlier and shoots at his pursuers, each time he runs out of arrows, he has already gotten to his next hidden bow and set of arrows.

    When half of the pursuing Deer are dead, Coyote puts Wolf's guts and bones back in Wolf's pelt and brings Wolf back to life. Wolf and Coyote thenchase the would-be pursuers back to the place where Wolf's family is fighting Deer's herd. The canines win, and go home. Wolf tells Coyote to just scavenge instead of hunt, and that is why Wolves hunt animals and when they are done, Coyotes eat the remains.

    But the stars Coyote created let other animals see better in the dark, making it more difficult for Wolf to hunt them. And that is why Wolves howl at the stars (not the moon, that would be silly).

    Man, I think GC's Coyote is toned down from the weirdness if the original.
  • ...And even when your hope is gone
    move along, move along, just to make it through
    (2015 self)
    Me too.

    I can't put it into words, though.

    What do you like better about this Coyote?
  • ...And even when your hope is gone
    move along, move along, just to make it through
    (2015 self)
    I kinda wish Wolf was in Gunnekrigg. I like Wolf.

    Also, The Shoshone make no linguistic difference between "Coyote" as in a coyote" and "Coyote" as in a man named Coyote. And some of these stories, or at least some aspects, make sense more as people. Not a herd of deer, but a tribe, the deer tribe. But other aspects make more sense as animals, like how Wolf's pelt has to be reunited with his guts and bones (people can live without moccasins, but wolves need their pelts).

    I mean, maybe there really was a chief named Wolf who got captured by the Deer tribe who were after his brother named Coyote. And maybe Coyote did rescue his big brother Wolf, and the specificness of the bow and arrow trick just screams "based on a dimly remembered act of awesomeness" to me.

    Or maybe it is actual animals, or a combination.
  • imagei will watch the heck outta this pumpkin patch
    Gunnerkrigg is a Fantasy Kitchen Sink.  There is already a wolf character, in the form of the European Ysengrim.
  • ...And even when your hope is gone
    move along, move along, just to make it through
    (2015 self)
    Tachyon said:

    Gunnerkrigg is a Fantasy Kitchen Sink.  There is already a wolf character, in the form of the European Ysengrim.


    I know, but he just doesn't have the same relationship with Coyote. I feel like Coyote needs a straight man of his own tier.

    I'd also like to see Coyote's son.
  • ...And even when your hope is gone
    move along, move along, just to make it through
    (2015 self)
    Okay, so,

    (X+Y)^0 = 1

    (X+Y)^1 = 1X + 1Y

    (X+Y)^2 = 1(X^2) + 2XY + 1(Y^2)

    (X+Y)^3 = 1X3 + 3X2Y1 + 3X1Y2 + 1Y3

    (X+Y)^4 = 1X4 + 4X3Y1 + 6X2Y2 + 4X1Y3 + 1Y4

    This pattern, sometimes called Pascal's triangle, though it was discovered long before him, keeps going on and on through this series.

    1
    1   1
    1   2   1
    1   3   3   1
    1   4   6   4  1
    1   5   10 10 5  1

    So, going arbitrarily long with this sequence, we can figure out (X+Y)^N fairly quickly for any whole number N.

    Also note, that in the exponents of the (X+Y)^N sequence, there is a pattern, too, which is pretty easy to figure out.

    Additionally, with (X-Y)^N, you just turn every other one negative.

    (X-Y)^4 = 1X4 - 4X3Y1 + 6X2Y2 - 4X1Y3 + 1Y4

    So, using addition to keep making more rows of the triangle, and counting both up and down to get the exponent numbers, we can easily figure out (X-Y)^12 without actually doing any multiplication.

    So, for the twelfth, it would obviously start 1, 12, and then go on, but I don't have the time or space to do the addition to make twelve rows of Pascal's triangle, so I'm just going to use the one I drew in my notebook, and so it is

    1, 12, 66, 220, 495, 796, 932, 796, 495, 220, 66, 12, 1

    1 + 12 + 66 + 220 + 495 + 796 + 932 + 796 + 495 + 220 + 66 + 12 + 1

    Since all but the first have a Y, and all but the last have an X, it's pretty easy to put that in there

    1X + 12X + 66X + 220X + 495X + 796X + 932X + 796X + 495X + 220X + 66X + 12X + 1

    1X + 12XY + 66XY + 220XY + 495XY + 796XY + 932XY + 796XY + 495XY + 220XY + 66XY + 12XY + 1Y

    Clearly, the X all by itself is going to have the exponent 12, and from there we count down, 12, 11, 10 9 8 7 6 5 4 3 2 1

    1X12 + 12X11Y + 66X10Y + 220X9Y + 495X8Y + 796X7Y + 932X6Y + 796X5Y + 495X4Y + 220X3Y + 66X2Y + 12X1Y + 1Y

    And then we do the reverse for Y

    1X12 + 12X11Y1 + 66X10Y2 + 220X9Y3 + 495X8Y4 + 796X7Y5 + 932X6Y6 + 796X5Y7 + 495X4Y8 + 220X3Y9 + 66X2Y10 + 12X1Y11 + 1Y12

    To make it (X-Y)^12, we turn every other + into a -

    1X12 - 12X11Y1 + 66X10Y2 - 220X9Y3 + 495X8Y4 - 796X7Y5 + 932X6Y6 - 796X5Y7 + 495X4Y8 - 220X3Y9 + 66X2Y10 - 12X1Y11 + 1Y12

    Note how the sums of the exponent numbers always add up to twelve.  Also note, how certain things pair up, like - 796X5Y7 and - 796X7Y5

    Let's make the pairs more obvious by coloring them in.

    1X12 - 12X11Y1 + 66X10Y2 - 220X9Y3 + 495X8Y4 - 796X7Y5 + 932X6Y6 - 796X5Y7 + 495X4Y8 - 220X3Y9 + 66X2Y10 - 12X1Y11 + 1Y12

    (1X12 + 1Y12) - (12X11Y1+ 12X1Y11) + (66X10Y2 + 66X2Y10) - (220X9Y3 + 220X3Y9) + (495X8Y4+ 495X4Y8) - (796X7Y5- 796X5Y7) + (932X6Y6)

    What if we put the positives together, and the negatives together?

    (1X12 + 1Y12) + (66X10Y2 + 66X2Y10) + (495X8Y4+ 495X4Y8) + (932X6Y6
    - (12X11Y1+ 12X1Y11) - (220X9Y3 + 220X3Y9)  - (796X7Y5- 796X5Y7)

    We can simplify this.


    (1X12 + 1Y12) + 66(X10Y2 + X2Y10) + 495(X8Y4+ X4Y8) + 932(X6Y6- 12(X11Y1+ X1Y11) - 220(X9Y3 + X3Y9)  - 796(X7Y5+ X5Y7)

    We can simplify this further

    (1X12 + 1Y12) + 66X8Y8(X2 + Y2) + 495X4Y4(X4+ Y4) + 932(X6Y6- 12X1Y1(X10+ Y10) - 220X3Y3(X6 + Y6)  - 796X5Y5(X7Y5+ X5Y7)


  • ...And even when your hope is gone
    move along, move along, just to make it through
    (2015 self)
    Each of the negative starting numbers (12, 220, 796) are divisible by four.

    12/4 is 3, of course.

    220/4 = (100+100+20)/4

    100/4 = 25
    100/4 = 25
    20/4 = 5

    25+25 = 50
    50 + 5 = 55.

    And 796 is four less than 800.  800/4 is 200, so a number four less, when divided by four, would be one less in result.  (800-4)/4 is (800)/4 - (4/4), or 200-1, or 199.

    (1X12 + 1Y12)
    66X8Y8(X2 + Y2) + 495X4Y4(X4+ Y4) + 932(X6Y6- 4 {[3X1Y1(X10+ Y10)] + [55X3Y3(X6 + Y6)]  + [199X5Y5(X2+ Y2)]}

    All the colored ones are divisible by XY, so

    (1X12 + 1Y12) + XY<66X7Y7(X2 + Y2) + 495X3Y3(X4+ Y4) + 932(X5Y5- 4 {[3(X10+ Y10)] + [55X2Y2(X6 + Y6)]  + [199X4Y4(X2+ Y2)]}>

    Let's do a thing

    (1X12 + 1Y12) + XY<66X7Y7(X2 + Y2) + 495X3Y3(X4+ Y4) + 932(X5Y5 - 4 {[3(X10+ Y10)] + [55X2Y2(X6 + Y6)]  + [199X4Y4(X2+ Y2)]}>

    So, (X-Y)^12 is X12 + Y12 + <XY times (the part with the black background minus the part with the green background)>

    If the parenthetical comes out to zero, than (X-Y)^12 is X12 + Y12

    But that doesn't happen with whole numbers.

    So, the trick is to find a quick way to figure out the part with the black background and the part with the green background.  Once you figure out those parts, you subtract green from black, times it by XY, and add it to X12 and Y12.

    Or, if you don't want to go to the work of simpifying, just use
    (1X12 + 1Y12) + (66X10Y2 + 66X2Y10) + (495X8Y4+ 495X4Y8) + (932X6Y6
    - (12X11Y1+ 12X1Y11) - (220X9Y3 + 220X3Y9)  - (796X7Y5- 796X5Y7),
    the unsimplified version.
    or, if you want to do it even easier,

    (1X12 + 1Y12) - (12X11Y1+ 12X1Y11) + (66X10Y2 + 66X2Y10) - (220X9Y3 + 220X3Y9) + (495X8Y4+ 495X4Y8) - (796X7Y5- 796X5Y7) + (932X6Y6)

    The numbers that precede X and Y follow the Pascal Triangle.  The Exponents are simply descending.  THe Pairs are identical but with the numbers for the exponents switched.

    So, if you make a big long list of this for a bunch of (X-Y)^N, you can just pull it out whenever a math question asks you to do that. 

    OR, if you can't remember these long equations, draw the pascal triangle to the row you need, and do the descending and ascending exponents.  Then plug in your numbers for X and Y.  Break the problem down into little tiny pieces, just do one pair, or half of one pair, at a time.  Figure out the sum of the positives and subtract the sum of the negatives.  Add what remains to X^12 and Y^12.

    But, for actually plugging in the numbers, you just have to do the pencilwork.  3 * 3 is nine, and then times nine by three, and then times that number by three, and do a bunch of multiplication.  Or add three nines together, and then three twenty sevens, and so on.
  • ...And even when your hope is gone
    move along, move along, just to make it through
    (2015 self)
    The good thing is that once you get to X^12, you've figured out X^2, X^3, X^4, and all the others up to twelve, with twelve multiplication things.  Same with Y.    With 24 multiplication things, you have all the numbers to replace X^whatever and Y^whatever with.  THen you just do the pencilwork and multiply by big numbers.
  • ...And even when your hope is gone
    move along, move along, just to make it through
    (2015 self)
    Hint:  When multiplying X by 220, you only have to multiply X by 2.  Then, once you've multiplied X by 2 and gotten some number ###, write a zero after it, so ###0.  THen, add ### to ###0.

    In fact, if you figure out X, 3X, 4X, and all up to 9X, you can just plug those in and add zeroes after.

    Turn 495 X to 5X plus 9X(with a zero after it) plus 4X(with two zeroes after it).  You don't have to do nearly as much multiplying this way if you just copy from what you've done.

    SO, figure out what X^2 through X^12 is, figure out what Y^2 through Y^12 is, figure out what 2X, 3X, and so on are up to 9X, figure out what 2Y, 3Y, and so on up to 9Y are.

    Make a Pascal Triangle with simple addition, get to the row you need, do descending and ascending exponents, and plug in what you figured out last paragraph. 

    Or, you could just subtract Y from X, and figure out what that number is when you exponent it by twelve.  But that sounds like too much work, and too complicated.
  • edited 2014-06-22 16:06:55
    ...And even when your hope is gone
    move along, move along, just to make it through
    (2015 self)
    Oh, wait, you also have to find out what X^3 is when times'd by 5.  OH well, too bad.

    But, well, mulltiplication is basically doing a bunch of addition in a row.  Reduce exponents to multiplication, multiplication to addition, and yeah.
  • ...And even when your hope is gone
    move along, move along, just to make it through
    (2015 self)


    Take a deck of 64 cards, take the top quarter, the second quarter, the third quarter, and the fourth quarter of the cards, and lay them on the table.  Shuffle the first with the second; and shuffle the third with the fourth.

    Then, shuffle (as in, shuffle the top half with the bottom half) five times, and you will have the deck.  Take it into the top quarter, second, third, and bottom quarter; and the four quarters will exactly match the four quarters you had at the beginning; except with the second quarter where the third quarter should be, and vice versa.

    Use it to remind yourself why people who spend time shuffling cards have no free time.
  • ...And even when your hope is gone
    move along, move along, just to make it through
    (2015 self)

    image
  • ...And even when your hope is gone
    move along, move along, just to make it through
    (2015 self)
    image

    Ignore the last image. The ferret's for Sredni.
  • ...And even when your hope is gone
    move along, move along, just to make it through
    (2015 self)
    image
  • ...And even when your hope is gone
    move along, move along, just to make it through
    (2015 self)
    image
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