pick a number from 1 to 5
i predict that the sum of its fifth power, 85 times its cube, and 274 times it
is equal to the sum of 15 times its fourth power, 225 times its square, and 120
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Baking the ingredients for the shape soup
The ingredients for this very delicious soup need to be baked before they can be used for cooking this well-made yummy shape soup.
So, I'm happy to announce I'm in the midst of digitalizing (scanning and adjusting/slightly editing png files) my isometric polyhedron drawings.
They will be transparent pngs with a hexagonal shape depicted like in the picture above.
One might use them as stickers or play around with pngs like a true tumblrina would.
(I might also make a transparent png set without any hexagonal white background.)
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Me: my brain keeps skipping and I miss stuff
Mathemagical: oh she is straight up not having a good time
Me: I'm not having a bad time, I'm just having a time that I don't know I'm having
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Current Member List
These are the members of Wizard Island Trading Co. as well as our supporters. Each member listed here has access to a personal dock, warehouse, and Dock Wizard located in the Pirate's Cove on Wizard Island Island. If you wish to join, or for your details to be changed, please let me know.
PRIVATEERS
Myself (Captain of the Stocky Jasmine)
@officialgrigori (Evil First Mate of the Stocky Jasmine)
@mathemagical-corsair (On-call Mathemagician)
@spilledmilkii-but-a-diff-blog (Insurance Policy)
@sorceress-foxgirl-lilac (Sorceress)
@irving-the-pirate-wizard (Captain of an Unknown Vessel)
@the-spotticus (Captain of the Erlking's Daughter)
@captain-celeste-cinderbeard (Sexy Captain of the Sea Serpent)
@treethatspellstree (First Mate of the Damned Spectre)
@necromanceradept (Skeleton Ship Captain)
SMUGGLERS
@the-mud-mage (Smuggler and Earth Supplier)
@the-jnadfzard (Dream Smuggler)
SUPPORTERS
@wizard-hamnet (Groundskeeper)
@yourlocalbreadenthusiast (on-call necromancer and manager of Wizard Island Island)
@the-caffeinated-necromancer (on-call necromancer)
@the-wizard-of-revolution (Diplomat and Crisis Manager)
@blacktipreefsharkwizard (Resident Shark of the Cove)
@verylegalwizard (on-call Lawyer)
@not-a-goose-in-a-trenchcoat (Sudden Acquisitions Expert and Grocer)
@wizardgosleep (Dock Wizard)
@wizardcrow (Crow Wizard)
@uneven-daemon (Finder of Curious Things)
@detectivewizzard (Wizard Investigations)
@ratslawyer (Alchemist)
@lowly-wizard-apprentice (Student of Piracy)
@ripleyalamode (Biomancer and Curse Consumer)
@profeshinul-wizurd (Trap Master and Accident Magnet)
@goblinchief (Chief Goblin)
marty (Reminder that we are at least not him)
@the-shrimp-that-fried-rice (Pretty Self-Explanatory)
@8s-wizard-railroading-blog (Land Transport Company)
@odd-animated-armor (Forge Master)
Rave Skeletons (on-call crew) (like regular skeletons but wear various glow sticks and/or novelty glasses) (provided by @the-necrobotanist)
Dock Wizards (ship repair and modification) (imagine a neon green jawa)
SUPPLIERS
@the-necrobotanist (priority supplier)
@wizardvalshadar (supplier)
@alvareus-the-sorcerer-of-seals (illegal scroll supplier)
@shotgunspellcaster (ammunitions supplier)
@combustion-witch (liquorice and book supplier, and construct forge master)
@lixorloveslicorice (Liquorice Chef)
@freelancing-mycologist (mushroom supplier)
@magical-bear-dubin (Forest Supplier)
@redavatar101 (Alcohol Supplier/Consumer)
@thesluttyvampirewizard (Vampiric Import Provider)
@panem-crustus (Carbohydramancer)
@insertblogaesthetichere (mushroom supplier 2: this time it's personal)
@alchemical-overreaction (Alchemist)
@thelycanwitch (Lycan and Lycan accessories)
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Ahem hello. what is the hairy ball theorem actually used for? As in, is it useful for some further thing, or is it just kind of a funny proof that exists? I’m not sure how to phrase this but let me know what uve got. Also if u could make any one new unit of high school math what would you wanna teach the teens and why?
so the hairy ball theorem, like most silly-sounding math things, an abstraction of things we've already observed. in this case, the simplest thing that the hairy ball theorem tells us is that on any spinning spherical object, there will always be a point on it where some quantity subject to that spinning is zero. if we start spinning a ball, there are two points on the surface of that ball that have an instantaneous velocity of zero: the points that are on the axis of its rotation.
this kind of thing can then be expanded to looking at the propagation of electromagnetic waves in space - if a particular wavefront forms a sphere, there has to exist at least one point on that sphere where the electric and magnetic field magnitudes are zero. there's also applications of it to meteorology (if all the wind on the surface of the planet is idealized to the planet's surface, there has to be a cyclone somewhere) and computer graphics (that's why ray tracing took so long to develop, because perfect spheres reflect and scatter light in a weird way in a way that is described by the hairy ball theorem.)
if i could add one new unit of high school math, i would make it a unit on number systems and number sense in algebra 1. i think one of the biggest reasons students feel like they get left behind in algebra and further courses is because they are taught that numbers are hard, immutable things, rather than what they are, which is mutable, malleable, and able to be split in infinitely many ways. that cascades down into not truly fathoming what the equality principle of any given operation is, and thus leads to an incomplete and unintuitive understanding of what algebra really is.
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