Ladies and gentlemen: on the left there is Avalokitesvara. ‘According to Mahāyāna doctrine, Avalokiteśvara is the bodhisattva who has made a great vow to assist sentient beings in times of difficulty, and to postpone his own Buddhahood until he has assisted every being on Earth in achieving Nirvāṇa. In Buddhism, a bodhisattva is either an enlightened existence, an enlightenment-being or, heroic-minded one for enlightenment.’ (Source: Wikipedia). I was especially fascinated by the second face from above on the picture; which looks like an angry monster and not divine at all.
My conclusion: this guy must lose his nerves every now and then! Which I can quiet understand, because he’s got the worst job I can think off. This guy is supposed to listen patiently to all this complaining people explaining their difficulties and stupidities and then, as it seems to me, kicking their asses towards heaven every now and then. Knowing that they won’t ever come back to say thanks or to help him out whenever necessarily. Remember he is not enlightened yet; so he is still very human himself.
On the right: the Pedalternorotandomovens centroculatus articulosus by Maurits C. Escher, 1951. As the artist wrote himself popularly called Wentelteefje (meaning ‘rolling little bitch’, also a pancake like receipt) or Rolpens (meaning minced beef in tripe). Rolmops (meaning collared herring) would have been fine with me as well. There are some videos on http://youtu.be/j1oDed95b-8 and http://youtu.be/896XoGW6erQ, but I don’t think the ultimate one has been made yet. I would like to see this little legs sprawling and rolling at the same time. I think this will give a ridiculous animation: seeming to be helpless at first, though known as very effective. More important: Escher wrote that he has created this bitchy rolling monster, for being unsatisfied by a gap in Mother Nature: there are no wheeling creatures at all. I wonder if Esher would have added, as far as we know, if he had lived today. According to my information lots of wild live is still undiscovered especially at the oceans. Also according to my information: lots of wild live is threatened as well and will vanish even before being described at all! Makes you have a look like this angry Avalokitesvara monster, right?
On the middle my own stuff: a kind of an algorithm to divide angle into two. This five little toothed wheels at the top in the middle are no coincidence. I was hoping studying these remaining parts would lead to some new, something unexpected. As I have complained before; main result is lim 2tan(1/2^n*pi)/(1/2^n)= 2pi (if n approaches infinity) which any high school kid can calculate, using l’Hospital’s theorem. Also easily to understand: 1/cos^2-tan^2= 1, which is trivial considering cos^2+sin^2= 1. Maybe I found some nice sequences to approach 1 and arctangent (1/2) using golden section powers. Maybe I have found some interesting arctangent formulas. Maybe I just refreshed my integration skills and learnt something of polar coordinates. Maybe there’s still some math hidden into this drawing which I’ll find in the future. Maybe this all is just an illustration of an old Rolling Stones hit; I can get no…………… Maybe I just need my ass kicked towards heaven, right?