Where t=.6141866…; a = ¼; b = 0, 0405353 + 0, 0255082i ; such that the rotation number of f(t,b,a) on the unit circle is (√5−1)/2 . The image has been rotated.
The Julia set of the cubic rational function e2πitz2(z−4)/(1−4z) with t=.6151732… chosen so that the rotation number is (√5−1)/2, which has a Herman ring (shaded).
If f is a rational function, defined in the extended complex plane, and if it is a nonlinear function (degree > 1) then for a periodic component of the Fatou set, exactly one of the following holds:
U contains an attracting periodic point.
U is parabolic.
U is a Siegel disc.
U is a Herman ring: In the mathematical discipline known as complex dynamics, the Herman ring is a Fatou component, where the rational function is conformally conjugate to an irrational rotation of the standard annulus.
Well I’ll pawn you my watch Pawn you my chain Pawn you my gold and diamond ring If this train roll me right I’ll be home tomorrow night ‘Cause I’m 900 miles from my home Lord I hate to hear that lonesome whistle blow
**WARNING: Contains Strong Language, Sexual Innuendos and Violence.** A rap I composed WAAY before the smash ballot results were up, although I’m not much of a rapper. I tweaked the pitch just cause. This is simply a parody, and ONLY a parody. I’m not criticizing anyone with this. It never hurts to have a little reminder. With that said, I also have an instrumental ready to download along with the original.
LINKLE: Where’s the fun When you’re all alone And nobody wants you? So let me be Free me I can fight my demons to the top! I know I will slay my way to the ring If you just let me Let me in so I can smash!
DAISY: Sakurai? It’s me, could you put me in the ring too? ‘Cause my blonde buddy’s busy banging Bippity Boppity Boo I’ve been waiting for years since Brawl for this moment to come But your fans are too triggered to give a shit, and then some Thrice I’ve been snubbed and slapped in the face, with Peach stealing my dress! I’m a “Peach clone?” My ass, all these bitches be pressed So I’ll crystal smash the haters, and bash each little troll I’ll strike these brats with my slugger bat, cause I’m on a roll! I’m hot stuff, got bigger balls than all these other ho’s Cute hamster face and dat ass, now where the fuck’s my amiibo?! I’m the A-list Princess, in life I will go far You know I’ll win bitch, I’m the motherfuckin’ superstar!
IMPA: Yeah I’m old, I could be the same age as your stans But at least my maturity levels are much higher than the Chris-chans I’m more than just a nanny, I’ll slice your ass with my sword 'Cause this granny’s got cojones to bang at you and SCORE! It’s obvious we need more Zelda reps to be picked But the one who deserves the spot the most is me, don’t ya think? (Seriously!) This would’ve been the iconic moment to bring in more chicks But instead you choose to suck the massive number of Melee dicks You’re a gamer slave to fat nerds, genwunners and weeaboos I mean seriously, Mewtwo? Why don’t you bring in Mew too! I mean all your fans ever do is whine, complain, bitch and moan If they’re not too busy throwing hissy pissy fits over *certain* clones
MIDNA: I’ll take the fans dear, Cause I can woo the masses And if these assholes beef with me, I’ll smash all of their asses I’m the twilight princess, don’t fuck with me bitch ‘Cause I can easily sedate your asses into nothing but shit And while we’re on the subject of fat nerds and weaboos You wouldn’t know badass if it had an ass to boot I’m sexy and I know it, you can’t deny Midna I got an ass and tits that won’t quit, you can ask my ho Cia! You’ve bitched and moaned enough my scurrying little friends So prepare your anuses, ‘cause this war’s gonna end I will dominate this fight, I’m the best there ever is Now make like your daddy and kiss my clitoris
SHANTAE: And speaking of one too many swords You guys draw more dicks on miiverse than any yaoi fangirl I whip my hair back and forth and I can swab the fucking deck Cause I’m a magical half-genie, bitch, I know I’m the best I’m an indie gaming icon, but I can still shine Because the number of sword wielding fighters is just fine Shovel Knight’s not up to snuff compared to my charms I’m the cutest, strongest indie fighter, I don’t need no firearms Sakurai, pick me, I can rule the third parties I can pack more punches than a fat kid with a pack of smarties And if I don’t get in, no sweat, won’t hold it against you Instead, I’ll retaliate the shit out of the weeaboos!