(Also imagine my surprise, seeing my home town mentioned on the front page of HN this early morning! I thought for a second that sleep deprivation finally got the best of me.)
I wish you best of luck. I used to be in the Kraków's 3DP commumity back in Materialination heydays. That was before you were founded, but maybe we've crossed paths there.
Apart from the 2016 Christmas Tree lecture [1] (which is even available in 3D [2]), Knuth also mentioned this “mysterious package from Poland” during an earlier (a week earlier) lecture at Brown University [3] (about 25 minutes in).
I love this talk (he gave roughly the same talk at both places, though one was more rushed than the other). He goes pretty deep into history — for example his discussion of Hamiltonian tours (knight's tours etc.) in Sanskrit poetry is at a level of detail that I have not seen in any other published source in English. After knowing that he was interested in this topic, I requested a contemporary Sanskrit poet to write a “knight's tour” Sanskrit poem, and gave it to Knuth as a gift. He loved it!
What a cool gift. I didn't know Knuth was into Sanskrit poetry. Nice to notice that people from STEM fields are interested in things like that. I'm always happy to see something related to ancient languages in HN.
Actually, based on my limited social circle, people from STEM get into Sanskrit much faster, because of its complex rules and similarity to programming (it's their words, I don't know Sanskrit, so can't confirm it). Learning Sanskrit is kinda "cool" now. Also, my girlfriend (not from STEM background) knows Sanskrit pretty well and keeps telling me that she feels like writing code (as she imagines that from seeing me doing or talking about it) when translating text to/from Sanskrit.
There is perhaps a technical reason for this. Computer languages are described using BNF notation, apparently invented in the 20th century, but others have noted that Panini did this 2500 years earlier, describing Sanskrit with a similar notation:
The idea of describing the structure of language using rewriting rules can be traced back to at least the work of Pāṇini (ancient Indian Sanskrit grammarian and a revered scholar in Hinduism who lived sometime between the 7th and 4th century BCE).[1][2] His notation to describe Sanskrit word structure notation is equivalent in power to that of Backus and has many similar properties.
LR parsers were invented by Donald Knuth in 1965 as an efficient generalization of precedence parsers. Knuth proved that LR parsers were the most general-purpose parsers possible that would still be efficient in the worst cases.
It is widely assumed Pāṇinian languages (generated using the formalism he used for describing Sanskrit) are context free languages but the following paper argues that they are a much larger set than CFLs.
My Knuth tale: I happened to be sitting near Prof. Knuth at a dinner last December and I mentioned to him Pāṇini & Sanskrit in the context of something I work on now and then. He heard Sanskrit and immediately pointed me to this Christmas lecture of his!
Retrospectively considering "It would be nice to own a 3D-printed object like this!" as an understatement (i.e. a "mistake" in his book) was a clever hack to create an excuse for giving them one of his famous reward checks. And kind and hilarious to boot! Prof. Knuth is amazing.
It looks like they got the N upside-down. The top of the N (the end with two serifs, as you can see here http://www.identifont.com/similar?TI ) is pointing to M, rather than the bottom.
I was looking for a 4D dice with 8 sides, just dots from 1 to 4 and couldn't find it (the same one as used in Sorcery's Swindlestones) so I'd definitely be interested.
I don't believe so, the YouTuber standupmaths has an episode on a a three sided coin (die) which is equally likely to land on its edge as either face. They blackboard two theories on what ratio the coin should have, test them both extensively, do proper statistics, and conclude that neither is right and the answer must be somewhere in between.
They are currently encouraging viewers to try a bunch of different values and come up with an experimentally derived result.
I should add that I have no affiliation with mathsgear, in fact, I was unaware of their existence until just now. They seem to have lots of nice stuff: https://mathsgear.co.uk/collections/shapes
Of course this is exceedingly cool and the item itself is of good quality, but it should be said that it's possible to make your own twenty-sided dice with whatever you want on their faces, by ordering blank dice on the internet and painting your desired symbols by hand. There's also companies that can print you the diece you want.
In fact, gaming lore says that in the early days of pen-and-paper RPGs, gamers couldn't find anyone selling the polyhedral dice they needed, so they ordered instead Platonic solids used for demonstration of geometric objects' properties from school supplies retailers and filled in the numbers by hand, as above. Which in no way means that any early d20s were missing a few 1's and 2's :|
28 comments
[ 3.2 ms ] story [ 63.1 ms ] threadI didn't know what a Hamiltonian graph was: https://en.m.wikipedia.org/wiki/Hamiltonian_path
(Also imagine my surprise, seeing my home town mentioned on the front page of HN this early morning! I thought for a second that sleep deprivation finally got the best of me.)
I wish you best of luck. I used to be in the Kraków's 3DP commumity back in Materialination heydays. That was before you were founded, but maybe we've crossed paths there.
I love this talk (he gave roughly the same talk at both places, though one was more rushed than the other). He goes pretty deep into history — for example his discussion of Hamiltonian tours (knight's tours etc.) in Sanskrit poetry is at a level of detail that I have not seen in any other published source in English. After knowing that he was interested in this topic, I requested a contemporary Sanskrit poet to write a “knight's tour” Sanskrit poem, and gave it to Knuth as a gift. He loved it!
[1]: https://www.youtube.com/watch?v=DjZB9HvddQk
[2]: https://www.youtube.com/watch?v=9DrzK3Z0rg0
[3]: https://www.youtube.com/watch?v=4UFkH5ZlVqQ
https://en.wikipedia.org/wiki/Backus%E2%80%93Naur_form
The idea of describing the structure of language using rewriting rules can be traced back to at least the work of Pāṇini (ancient Indian Sanskrit grammarian and a revered scholar in Hinduism who lived sometime between the 7th and 4th century BCE).[1][2] His notation to describe Sanskrit word structure notation is equivalent in power to that of Backus and has many similar properties.
Citation:
https://dl.acm.org/citation.cfm?id=363165
I can't copy the text here, but it's worth a read:
https://www.deepdyve.com/lp/association-for-computing-machin...
Knuth is mentioned in the same letter as Panini, regarding the naming of "BNF".
https://www.infinityfoundation.com/mandala/t_es/t_es_rao-t_s...
Knuth invented LR parsing of context free grammars:
https://en.wikipedia.org/wiki/LR_parser
LR parsers were invented by Donald Knuth in 1965 as an efficient generalization of precedence parsers. Knuth proved that LR parsers were the most general-purpose parsers possible that would still be efficient in the worst cases.
https://web.stanford.edu/~kiparsky/Papers/panini-1.pdf
My Knuth tale: I happened to be sitting near Prof. Knuth at a dinner last December and I mentioned to him Pāṇini & Sanskrit in the context of something I work on now and then. He heard Sanskrit and immediately pointed me to this Christmas lecture of his!
[1] https://youtu.be/DjZB9HvddQk?t=1010
"Of course you could have used the ( <word here> font/foot???)"
Excellent swag.
And blank dice are easy enough to get: https://www.amazon.com/Blank-Sided-Educational-Counting-Orga...
[1]: https://en.wikipedia.org/wiki/Platonic_solid
I wonder if the rule is that the total face area for each label must be the same?
They are currently encouraging viewers to try a bunch of different values and come up with an experimentally derived result.
For example: https://mathsgear.co.uk/products/d120-dice
https://en.wikipedia.org/wiki/Pentagonal_trapezohedron#10-si...
Wikipedia generally has quite good overview of non-Platonic dice: https://en.wikipedia.org/wiki/Dice#Rarer_variations
In fact, gaming lore says that in the early days of pen-and-paper RPGs, gamers couldn't find anyone selling the polyhedral dice they needed, so they ordered instead Platonic solids used for demonstration of geometric objects' properties from school supplies retailers and filled in the numbers by hand, as above. Which in no way means that any early d20s were missing a few 1's and 2's :|