yantrams

Neat. We should start a club :) And I don't think OCD is a cause for concern unless it interferes with your daily functions. I personally feel it is a plus point when it comes to problem solving and research. Apart from this, I also have intrusive thoughts mentioned somewhere else on this page but they have become less intense with time. Stuff like worrying about accidents when travelling, worrying about your loved ones etc. Fret not as long as it doesn't affect your functioning.

I know right! This sequence actually has a history of being discovered by people over and over again through out history. I am the linkdot chap btw :)

Awesome :) It stuck around till I was 7-8 years old in my case too I think. I still do it every now and then. Counting syllables and interchanging vowel sounds is another thing I indulge in frequently.

Vibrant looks really cool btw. Will check it out. I recently started dabbling with graphics and generative art.

As a kid, I used to frequently do things in a pattern that I discovered much later to be the [0]Thue Morse sequence. 1001-0110-0110-1001 and so on. For example, "1" would be snapping fingers and "0" touching my nose. Never had it diagnosed clinically so I'm not really sure if I even have OCD but some symptoms tick the boxes. [0] - https://en.wikipedia.org/wiki/Thue%E2%80%93Morse_sequence

I started teaching myself Racket recently and eventually ended up looking into the innards of lambda calculus formalism. It got me thinking about what the ramifications of embracing constructivism would be towards computability in general. Can you recommend any good introductory literature on constructivism ? I'm familiar with the foundational crisis and the whole formalism vs logicism vs constructivism debate but never really dug deeper. Thanks.

That's an interesting sample point. Lets hope research can shed more light on this.

Seeing how this research is done with syllabic scripts, it might be worthwhile to have the same repeated with alphabetic and hieroglyphic scripts and see if any interesting results can be gleaned, like something equivalent to Sapir-Whorf hypothesis.

Edit: Grammar

Ugh. I just noticed how I bungled it up with my phrasing. I meant "argument for manifestations of god/aliens/" and not "argument for god/aliens" And I totally agree with you.

I always found it quite interesting to see the parallels between arguments for God and aliens -- X can't be explained by science so I'm going to jump to the conclusion I want to believe. I thought I was immune to this kind of reasoning but even I fell for it with Oumuamua.

The initial paper and comments by some experts convinced me that there is a strong chance that this is a probe. It seemed plausible based on my limited understanding of Physics. (Moment of Inertia, Stresses etc.)

But then a paper[1] was released claiming this to be a comet. I so wanted my original belief to be true(because it was more exciting!) I considered the possibility that their [2]model wasn't accurate. I was even willing to entertain the idea of cover-up just because it didn't align with what I wanted to be true!

[1] https://www.space.com/41015-interstellar-visitor-oumuamua-co...

[2]A recent study claims that it was indeed the case and the probe is more likely to not be a comet. https://www.quantamagazine.org/interstellar-comet-oumuamua-m...

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Exactly! I can't remember where but I distinctly remember some theory quantifying this as almost-1, almost-2,... as a function of the number of finite (or countably infinite maybe) exceptions.

A recent twitter thread that could be helpful - https://twitter.com/johncarlosbaez/status/105620018913060044...

And this from the same thread :)

https://pbs.twimg.com/media/DqhjmPdU4AAb979.jpg

Remember coming across this concept while reading about Measure theory. There are also concepts like "almost well-ordered" and "almost complete" in graph theory if my memory serves right.

I still have a copy of this(in telugu) in pristine condition :) - https://mirtitles.org/2011/12/08/science-for-everyone-this-f... Yes Visalandhra publishes some of the classics even now but the quality is deplorable compared to the originals. :/

The smell yes! This may sound weird and is completely unrelated but I felt the smell of new Apple products comes very close to that of Misha magazines. Noticed it with every Apple hardware I bought so far starting from the 1st generation Macbook.

Science books from Mir, Raduga and Progress publications - https://mirtitles.org/ Children's books - http://www.arvindguptatoys.com/

Last time I checked, I couldn't find any sources for Misha other than a couple of them scattered across file sharing sites.

I used up all my Mishas for covering books unfortunately :/ Have just a couple of them. It's not that difficult to find the Science/Math books - Yakov Perelman, Little Mathematics Library etc in old book stalls in Andhra but you have to be really lucky to find children's story books.

This should keep you busy :) http://www.arvindguptatoys.com/

I was raised on these Soviet books in India and remember feeling sad and angry when Soviet Union broke up because all these amazing magazines (Misha anyone ?) stopped coming from Russia all of a sudden.

PS: I uploaded about 50 of these books (in Telugu language) at http://linkdot.link/sooviytt-prcurnnlu-childrens-books.html Would be a great resource for anyone trying to teach Telugu to their kids

Edit: Added a line

Yesterday I came across this interesting result dealing with shortest number with the digits 1 through 7 arranged in all possible orders, thanks to John Baez on twitter [1]. Great to discover this here.

De Brujin sequences as mentioned in one of the comments deals with the generalized case involving repetition as well. There is an interesting mnemonic for remembering the composition of different "ganas" (syllabic units) in Sanskrit poetry that is an example of De Brujin sequence - Ya-Maa-Taa-Raa-Ja-Bhaa-Na-Sa-La-Gam . In Sanskrit metre, syllables can be either long (Maa for example) or short (Ma). The basic units are composed of 3 syllables and thus 2x2x2 = 8 possible types - long-short-long for example. These basis units are called ganas and have a name attached to them. The mnemonic helps one decode the composition of a gana. If you want to know the composition of "Ja Gana" for example, go to the part that starts with Ja and get the substring with three syllables starting with Ja i.e Ja-Bhaa-Na. Since these syllables are short, long and short, Ja Gana corresponds to short, long and short.

[1] https://twitter.com/johncarlosbaez/status/105338502434972057...

Edit: Formatting and correction

I'm surprised no one has mentioned Nokia N9 / Meego yet. Slickest mobile UX ever!

> 2007 MacBook had the best laptop keyboard I'd ever used.

You mean 2007 Macbook Pro right ? One of the best tactile responses I'd ever experienced on a keyboard. Thinkpad T520 was another I really enjoyed typing on.

I find the end bit even more amusing :) https://youtu.be/hoh4TmPzu1w?t=558

Discovered him on Twitter last year and was immediately blown away to see how his compositions resembled futurist and constructivist works to an uncanny extant. (Malevich, Kandinsky et al.) There is something about his choice of color palette that makes him really stand apart.

This reminded me of the technique of combating a forest fire with another from the opposite direction. Read about it as a kid in Physics for Entertainment by Yakov Perlelman.

I'd recommend Feller for Probability seeing how you are interested in rigor and completeness. For Bayesian approach, I'd suggest Probability Theory - The Logic of Science by E.T.Jaynes.

Listed the solutions for n = 3 and 4 here. Could help you with debugging- https://imgur.com/a/fHS4tNd

Nope :( The sequence starts with 1 because there is just one triangle with an area of 2 that satisfies the conditions. I ended up with a sequence similar to your previous one when I forgot to take the absolute value of area -- x1(y2-y3) + x2(y3-y1) + x3*(y1-y2))/2 . That could be a possibility in case you were using the same formula. In your first result - 1, 3, 6, 14.... , first two are right, third over-counted and rest are undercounted.

Just a hunch but I think you might be skipping isosceles triangles. And possibly adding right angled triangles because of floating-point arithmetic.

Close enough but wrong :) I went the same route as you did and realized my mistake after a while. Base and altitude values can be fractional/irrational too.

PS : I bruteforced my way to the answer.

Will explore them. Thank you for the suggestions. I was heavily into Futurism and Dadaism during one of those phases back in college and devoured the works of Tzara, Schwitters, Russolo, Ball, Duchamp, Ernst etc. Those manifestoes still give me goosebumps. Fascinating times they were.

I was gonna comment on how some of the works appear to have been inspired by those of Max Ernst but seeing how they are contemporaries, it could've been the other way for all we know. Thanks for the share.