My Map — II

I see that the orig­i­nal aim of my map: to be able to pin­point any loca­tion on the map with just one piece of infor­ma­tion instead of two, was rather ran­domly far-fetched. What I was imag­in­ing, was cre­at­ing a map­ping of all the points in two dimen­sions to a sys­tem in one dimen­sion. Which per se sounds pretty bizarre.

In using some­thing like a sim­ple map, what becomes sim­ple is that I only have a lim­ited sur­face area to cover. So, if the spi­ral I use to tra­verse over the map has a very very tiny pitch, I can approx­i­mately pin­point each point on the map. But that’s still not perfect.

So, to do the same, we can change two things: the nature of the sur­face on which the map is plot­ted; and the descrip­tion of the line. I did the lat­ter in the pre­vi­ous, fig­u­ra­tive attempt, by mak­ing my “sin­gle dimen­sion” along a (well defined spi­ral). I cur­rently, can­not imag­ine how to do the former.

I thought of numer­ous pos­si­bil­i­ties for chang­ing the nature of the sin­gle line I’m using. The best so far, seems to make it some sort of a frac­tal. That is applic­a­bly, sec­ond to cre­at­ing a much more bril­liant def­i­n­i­tion of a spi­ral, but also much far-sounding. But the­o­ret­i­cally, it wouldn’t be as sim­ple as a spiral.

The inspi­ra­tion to choose them to be a frac­tal, comes from the fact that most space-filling curves, are frac­tals (apart from the fact that I love them, of course). And space fill­ing curves do exactly what I want this con­struct of mine to do — cover all the points in 2 dimen­sions, using a sin­gle con­tin­u­ous 1-D curve.

The Hilbert Curve

All I want, is an equa­tion which for a cer­tain iter­a­tion, given one para­me­ter, can give me back a unique value, and this equa­tion for dif­fer­ent para­me­ters can cover all the points belong­ing to the above. That’s it. Easy, innit?

More for later..

Update: This ques­tion brings up a rather old doubt of mine — can I call an equal pitched spi­ral, a frac­tal? Or does it have too “sim­ple a definition”?


My own Map

I wanted to make my own map, and plot­ting sys­tem. Here’s what I imag­ined. Note: This post is a sum­mary of all that I’ve read, and found to be related to this spe­cific idea of mine — I don’t really know what I can do that would be counted as entirely ingen­u­ous. How the images


Chat Noir — A game

via gamedesign.jp The awe­somest game ever made. And if you hap­pen to be some awe­some programmer/mathematician who knows an infal­li­ble tech­nique to win this, please do tell me! Posted via web from The Mys­tic Ranger


Nature by Numbers

via youtube.com If it weren’t for that one tech­ni­cal error of the golden spi­ral being put onto the snail’s shell, which is actu­ally a log­a­rith­mic spi­ral, this would’ve been the awe­somest video ever made. Update: That error, is not an error. Appar­ently, I was trust­ing my false resid­ual mem­ory of the same, and a com­ment


Major Joke: That kid makes up questions for himself, and even those he can’t solve

Major truth: He is truly awe­some. Or at least, so I believe. When Lock­hart said, In fact,  if  I  had  to  design  a mech­a­nism  for  the  express pur­pose  of  destroy­ing  a  child’s  nat­ural curios­ity and  love of  pattern-making, I couldn’t pos­si­bly do as good a  job as  is  cur­rently being done. I didn’t quite agree with


Weird Al — You’re Pitiful

via youtube.com Yes, you are. Posted via web from The Mys­tic Ranger


What gives us more pleasure: the pursuit of of our desires or the attainment of them?

From Tony Robbins’s ‘The Monk who sold his Fer­rari’: “How would you drop an egg thruogh a height of four feet, with a floor of con­crete below, and still not have it cracked?” Triv­ially, we all begin by think­ing how to cir­cum­vent the hard­ness of the con­crete, or the weak­ness of the egg. We do


Do we value only what we struggle for?

When was the last time you were delighted to get some­thing you were ‘sup­posed’ to? For instance, how many of us would actu­ally delight in receiv­ing break­fast? Not me! What we do not strug­gle for, we take as granted — the most fun­da­men­tal exam­ple being our own exis­tence. Rarely would one find some­body so con­sci­en­tious, he


Hey Ya !

via youtube.com Awe­some song!! Posted via web from The Mys­tic Ranger


The Find Your Great Work Movie — by Michael Bungay Stanier

via greatworkmovie.com I hope I do. =) Soon, that too! Posted via web from The Mys­tic Ranger