The Lorenz system is a system of ordinary differential equations (the Lorenz equations) first studied by Edward Lorenz. It is notable for having chaotic solutions for certain parameter values and initial conditions. In particular, the Lorenz attractor is a set of chaotic solutions of the Lorenz system which, when plotted, resemble a butterfly or figure eight.
The Lorenz Equations:
Plotting the three differential equations requires the usage of a computer. Plotted on a three-dimensional plane, a shape unlike any other forms. Instead of a simple geometric structure or even a complex curve, the structure now known as the Lorenz Attractor weaves in and out of itself. Projected on the X-Z plane, the attractor looks like a butterfly; on the Y-Z plane, it resembles an owl mask. The X-Y projection is useful mainly for glimpsing the three-dimensionality of the attractor; it looks something like two paper plates, on parallel but different planes, connected by a strand of string. As the Lorenz Attractor is plotted, a strand will be drawn from one point, and will start weaving the outline of the right butterfly wing. Then it swirls over to the left wing and draws its center. The attractor will continue weaving back and forth between the two wings, its motion seemingly random, its very action mirroring the chaos which drives the process. (Isn’t that beautiful?) Source.
My favorite chaotic mathematical rendering
From Zen Garage…
Marina Abramovic and Ulay started an intense love story in the 70s, performing art out of the van they lived in. When they felt the relationship had run its course, they decided to walk the Great Wall of China, each from one end, meeting for one last big hug in the middle and never seeing each other again.
At her 2010 MoMa retrospective Marina performed ‘The Artist Is Present’ as part of the show, where she shared a minute of silence with each stranger who sat in front of her. Ulay arrived without her knowing and this is what happened.
8-foot giant squid pillow.
- 2 yards of felt
- 1 yard of patterned fabric (I suggest a polka dot-type pattern so it looks like suction cups)
- 1 medium piece of black felt, 1 medium piece of white felt (for the eyes)
- white thread, black thread and thread of the same color as the felt you’re using
- about 5 lbs. of stuffing
- a couple big sheets of paper to draw your pattern
First, you need to draw out your patterns. Here’s a basic template to get you started, although most of the measurements are reasonably fudgeable. If in the likely event you don’t have any four-foot-long pieces of paper lying around, just tape a few pieces together.
Once you’ve drawn out your eight patterns, it’s time to cut the fabric. Pin the pattern to the fabric, laid flat, and cut out the following, leaving a half an inch or so of extra fabric around the edge of the pattern:
FOR THE ARMS: 8 felt and 8 fabric cutouts of piece 1
FOR THE, UH, LONGER ARMS: 2 felt and 2 fabric cutouts of piece 2
FOR THE BODY: 2 felt cutouts of piece 3
FOR THE FIN: 4 felt cutouts of piece 4
FOR THE HEAD: 1 felt cutouts of piece 6
FOR THE EYES: 2 white felt cutouts of piece 7 and 2 black felt cutouts of piece 8
So now you’ve got all your pieces ready, it’s time to start sewing them together. I did mine by hand because my sewing machine is busted and I get a kind of Zen buzz from sewing by hand, but if you have a non-busted one I recommend that you use it as it will be MUCH EASIER. You’re going to be sewing everything with the nice side of the fabric facing in, then turning it inside out to stuff it.
THE ARMS: Pin together one patterned fabric piece 1 and one felt piece 1 (with the nice sides facing the inside). Sew down around the U-shape and back up, leaving the top open. Then turn the arm inside out, stuff it (it’s easiest to do both of these things if you sort of scrunch it up like you’re trying to put on a pair of tights, excuse the non-dude-friendly reference) and sew the top closed. Do the same for the other seven arms and rejoice in the fact that this is the most tedious part. Same deal with the two long arms, they’re just harder to stuff.
THE FINS: Pin together two of your piece 4s and sew together the curvy outer edge. Turn the piece inside out, so the seam you just sewed is on the inside, and start sewing up the other side, stuffing gradually as you go along. You should end up with a triangle-ish puffy thing. Repeat for the other two piece 4s.
THE BODY: Put down one piece 3, then place the two fins you have down with the point up and the curvy side pointing in, then make a sandwich by putting the other piece 3 down on top. Pin it all together and sew around the edges with the two fins still inside, as shown. Turn it inside out and move on to…
THE HEAD: So take piece 6 and the ten arms you’ve already done. Lay the arms, fabric side facing you, out with the arms’ top seams in a line half an inch from the top of piece 6. The order should be arm arm arm arm BIG ARM arm arm arm arm BIG ARM. The legs should be almost entirely covering piece 6. Pin them in place and sew a straight line through the individual legs seams to attach the legs to piece 6.
When you pick up the other side of piece 6, you now have something resembling a really weird untied hula skirt. Sew together the two 9-inch ends of piece 6 with the fabric side of the arms on the outside, and keep it inside out for the moment.
PUTTING IT ALL TOGETHER: Fit the open end of the body through the arms (still fabric side facing out) and pull the edge all the way through the felt cylinder so it’s even with the edge that DOESN’T have arms attached to it. Sew around the diameters of the head cylinder and the body cylinder to attach them, then pull the legs down over the head and you’re almost done!
Stuff the body, then seal it off by sewing piece 5 over the open end (even if you do have a functional sewing machine, you’ll probably have to do this part by hand).
THE EYES: Sew the black circles on the white circles and whipstitch the eyes onto the head. You do this last because you can’t tell where they’re going to end up on the end product if you put them on before stuffing the body.
This is the pattern I used to make my giant squid!
There are a few confusing parts (I wound up with a seam on the outside of my head, but eh) so take your time with it, but it’s a great guide and I LOVE my giant squid.
I wasn’t going to write this letter, but today i’ve been dodging phone calls from various newspapers who wished me to remark upon your having said in Rolling Stone your Wrecking Ball video was designed to be similar to the one for Nothing Compares… So this is what I need to say… And it is said in the spirit of motherliness and with love.
I am extremely concerned for you that those around you have led you to believe, or encouraged you in your own belief, that it is in any way ‘cool’ to be naked and licking sledgehammers in your videos. It is in fact the case that you will obscure your talent by allowing yourself to be pimped, whether its the music business or yourself doing the pimping.
Nothing but harm will come in the long run, from allowing yourself to be exploited, and it is absolutely NOT in ANY way an empowerment of yourself or any other young women, for you to send across the message that you are to be valued (even by you) more for your sexual appeal than your obvious talent.
I am happy to hear I am somewhat of a role model for you and I hope that because of that you will pay close attention to what I am telling you.
The music business doesn’t give a shit about you, or any of us. They will prostitute you for all you are worth, and cleverly make you think its what YOU wanted… and when you end up in rehab as a result of being prostituted, ‘they’ will be sunning themselves on their yachts in Antigua, which they bought by selling your body and you will find yourself very alone.
None of the men oggling you give a shit about you either, do not be fooled. Many’s the woman mistook lust for love. If they want you sexually that doesn’t mean they give a fuck about you. All the more true when you unwittingly give the impression you don’t give much of a fuck about yourself. And when you employ people who give the impression they don’t give much of a fuck about you either. No one who cares about you could support your being pimped.. and that includes you yourself.
Yes, I’m suggesting you don’t care for yourself. That has to change. You ought be protected as a precious young lady by anyone in your employ and anyone around you, including you. This is a dangerous world. We don’t encourage our daughters to walk around naked in it because it makes them pray [sic] for animals and less than animals (a distressing majority of whom work in the music industry and the associated media).
You are worth more than your body or your sexual appeal. The world of showbiz doesn’t see things that way, they like things to be seen the other way, whether they are magazines who want you on their cover, or whatever… Don’t be under any illusions… ALL of them want you because they’re making money off your youth and your beauty… which they could not do except for the fact your youth makes you blind to the evils of show business. If you have an innocent heart you can’t recognise those who do not.
I repeat, you have enough talent that you don’t need to let the music business make a prostitute of you. You shouldn’t let them make a fool of you either. Don’t think for a moment that any of them give a flying fuck about you. They’re there for the money… we’re there for the music. It has always been that way and it will always be that way. The sooner a young lady gets to know that, the sooner she can be REALLY in control.
You also said in Rolling Stone that your look is based on mine. The look I chose, I chose on purpose at a time when my record company were encouraging me to do what you have done. I felt I would rather be judged on my talent and not my looks. I am happy that I made that choice, not least because I do not find myself on the proverbial rag heap now that I am almost 47 yrs of age… which unfortunately many female artists who have based their image around their sexuality, end up on when they reach middle age.
Real empowerment of yourself as a woman would be to in future refuse to exploit your body or your sexuality in order for men to make money from you. I needn’t even ask the question… I’ve been in the business long enough to know that men are making more money than you are from you getting naked. Its really not at all cool. And its sending dangerous signals to other young women. Please in future say no when you are asked to prostitute yourself. Your body is for you and your boyfriend. It isn’t for every spunk-spewing dirtbag on the net, or every greedy record company executive to buy his mistresses diamonds with.
As for the shedding of the Hannah Montana image.. whoever is telling you getting naked is the way to do that does absolutely NOT respect your talent, or you as a young lady. Your records are good enough for you not to need any shedding of Hannah Montana. She’s waaaaaaay gone by now… Not because you got naked but because you make great records.
Whether we like it or not, us females in the industry are role models and as such we have to be extremely careful what messages we send to other women. The message you keep sending is that its somehow cool to be prostituted… its so not cool Miley… its dangerous. Women are to be valued for so much more than their sexuality. we aren’t merely objects of desire. I would be encouraging you to send healthier messages to your peers… that they and you are worth more than what is currently going on in your career. Kindly fire any motherfucker who hasn’t expressed alarm, because they don’t care about you.