Polygons of New York
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- čas přidán 24. 06. 2024
- Behold the Rhombic Triacontahedron which links these two recent videos:
A new Rhombic Dodecahedron from Croatia!
• A new Rhombic Dodecahe...
The Best Square Square in New York
• The Best Square Square...
Rhombic Triacontahedron on Mathworld:
mathworld.wolfram.com/RhombicT...
Here is the Exploded Rhombic Triacontahedron on Mike Deakin’s Shapeways page:
shpws.me/MhDT
I mentioned An Evening of Unnecessary Detail, a comedy show I do in London sometimes:
aneveningofunnecessarydetail.com/
In New York I was working with MoMath: momath.org/
Watch Mathologer’s video: How not to Die Hard with Math
• How not to Die Hard wi...
And, I guess, you could watch Die Hard with a Vengeance…
www.amazon.com/Die-Hard-Venge...
CORRECTIONS:
So far, none yet! Let me know if you spot anything.
Music by Howard Carter
Design by Simon Wright
MATT PARKER: Stand-up Mathematician
Website: standupmaths.com/
Maths book: makeanddo4D.com/
Nerdy maths toys: mathsgear.co.uk/ - Zábava
6:45 Matt has gained the ability to use his vocal tract to articulate multiple phonemes simultaneously.
haha!
Fantastic
6:48
Two voices!
I solved the mystery... There are, indeed, two Matt Parkers!
This explains SO MUCH!
I mean, it's obvious from this video.
Matt Parker 1 was in his office, and Matt Parker 1.618 was in his black-screen studio!
How come we never see Matt Parker in the same room as Matt Parker though?
He must be James Grime. dun dun dun
He Parkersquared the editing.
That actually only were his thoughts, he has mind powers.
I mean who did you think was behind the camera?
"it's called World Science Fair because it's quite big and it's in America"
too true, sigh
It is The World Science Fair because it is in New York. I wonder if other cities could get away with it?
congratulations, you just completely missed the point
There are world's cares all over the world, that one that happened in New York wasn't the 1st not the last, so yeah.
Kenneth Florek Paris, London, Berlin, Amsterdam, Singapore, Tokyo, Moscow, maybe Sydney
Reminds me of a lot of professional societies. For example, ASM International, the American Society of Metals International
Matt you were thinking so loudly it was clearly audible at 6:48~
( try to think with a lil' moderation so it won't mess with the audio~ )
I've always been fond of the rhombic triacontahedron because I had a paperweight shaped like one when I was a kid, which I assembled out of a kit I'd bought at a museum gift shop. It was made of rhombi of white plastic, similar in appearance to whatever Shapeways is using. I glued them together and put sand inside for weight.
"Though I do admit it is a little small" - Matt Parker 2016
Stop showing interesting properties about the golden ratio! It's supposed to be overrated!
+Seth M-T Oh yeah! I'd better get excited about some other ratios.
I love your geometric videos, Matt :)
+Lawrence Calablaster There have been a lot of geometric ones recently. I must get back to my number roots.
+standupmaths I do wonder if that pun was intended, haha. Nevertheless, it was great.
There's no sin in geometry videos. They're at least tangentially related to numbers.
Rob Porritt :D
standupmaths Your radicae, if you'd like.
How about this for a solution to a "Die Hard Problem"- considering constant (enough, we're not talking about millilitres here) flow of water from the fountain, 3 litre jug is rendered unnecessary. Measure the time it takes to fill 5 litre jug all the way, relieve it of its content, then fill it up again for 4/5 of the time measured earlier. In case they do not have any other means of measuring time, there is that conveniently large display showing passage of seconds on the bomb.
:)
I know this is from two years ago, but it has to be precise. Seconds are not adequate for such a task. You also need to consider the rate of flow. Is there always the same amount of water flowing at any given time? You need a second jug to have any chance of being accurate.
@@kingezikiel5302 The whole thing is ridiculous. How is the volume of the jugs measured? Are the necks part and if they were the jugs were never full. If not where was the marker line showing the full capacity. If the scale was as accurate to measure the weight of a five gallon jug + four gallons of water what would have happened if someone had one gallon jug and they put that and the three gallon jug on the scale?
And why would any terrorist give a way to defuse the bomb?
Who disliked this? The channel is called "StandUpMaths," what were you expecting?
Of course, it could be that it wasn't math-y enough. Scary thought.
It's actually because he was sitting for a lot of it.
+Daedskin "Take That!" *points*
I'm guessing one was the other Matt Parker you can hear @ 6:48 (He didn't want to be revealed), and the other was hopefully an accident.
Oh, please. It's only 11 dislikes, and it was probably just because they were complete snobs, and they probably didn't even watch the video.
well the thumbs down isnt just for shitting on people either. I use it sometimes if youtube keeps recommending something im not interested in
...Tompkins Square Park actually gets mentioned in a number of rock songs (I can think of a couple by Lou Reed and Bongwater), I think because in the 1980s the Alphabet City neighborhood was a popular place for musicians and artists to live. There was a famous riot there in 1988.
"It's called the world science fair...because it's in America"
-Matt Parker 2016
'Merica!
Work or World??
+gorillaau World
+gorillaau I think it was a typo
I fixed it. Stupid autocorrect.
I think Tompkins square was the MOST Parker square of the all. You see, Matt, when you approach an ideal square, the Parker squareness also grows accordingly just like a standard squareness, although its value is still slightly more than the squareness value (when squareness is 0.98 the Parker squareness is 0.9800...1, let's say), reaching its peak just before it becomes an ideal square, then the Parker squareness drops sharply, for the Parker squareness of a square is 0.
You show some understanding of the problem in the intro of this video, but you didn't grasp it correctly. I wonder what the word is when something is almost true, but it's just very off in an important aspect.... hm.... Perhaps search through some encyclopaedia and you will find that term.
I applaud this person. Thank you for bringing important flaws to light. Honestly, what a Parker Matt Parker is.
It should be logically impossible to be a Parker square Parker for Parker. However Parker's Parker squareability is so spot on (after all, remember that he is the Parker that lends the Parker square phenomenon its nickname) that he is, albeit Parker-squarely able to be a Parker square at being himself.
I hope that's a Parker fair and Parker square explanation.
"Parker" sounds weird now... :(
I mean the Parker Square is also the mascot for giving things a go so it's not really something to be ashamed of.
So glad to see the Die Hard clip in this. Its actually one of the inspirations for my own maths research as well as being a movie i grew up on. Thanks :)
Glenn is not the hero we need or want, but he is the one we have. Thank you and keep up the good work Glenn.
I don't know how you can call that an office. All I see are toys and a desk. I want your job!
+coasteringkid Step 1: Be own boss. Step 2: ??? Step 3: Maths toys!
Me: Ooh! There's a new Matt Parker video!
*watchs the video*
Matt: It turns out these two are linked
Me: Well then I've got to watch them again!
*watches the
two videos*
*watches more videos*
*and more*
from there to there, it's 4AM here... Good thing I don't have to wake up early tomorrow..
But at least I'm (sort of) still part of the correct definition of 'now'.
+Yuval Nehemia Welcome to the now!
Matt, I'm slowly getting obsessed with this rhombic triacontahedron made of dodecahedra. Would you make a 3D printed model and sell it on maths gear?
The thing I like most about these videos is that it makes people want to make things.
Thanks for (again) shouting out my favorite museum in NYC.
You make geometry so much better!
Mr. Matt, how long does it take you from an idea for a video to the video? There is always a ton of creative ideas and content in them! The very aesthetic design of the rhombic dodecahedron being one of those ideas :)
Today I saw you on a program on the Discovery Channel. I got excited lol
+Diego Surprise! I'm filming new episodes this week.
+standupmaths nice. I liked it a lot 😊
Hey Matt, it was great meeting you in NYC, hope you're around again.
+Damian Shaw Hello! Great to see you too. The video turned out well. I'm back for a show on 23 Oct at MoMath!
standupmaths
I'll try my best to make it! I might be in Toronto at buffer festival that day though unfortunately.
Great holiday souvenirs :-)
Cool followup video. (As an aside, subscribing works wonders for seeing videos as they come out, and not several months later)
Excellent vid! Bonzer!
In the 1960s and 1970s german Artist Anatol (Karl Heinz Herzfeld) used to build giant Spheres out of Steel (and even barbwire) or certain types of plastics (either in his workspace or in public spaces) and rolled them through several cities (or just buildings). The most famous performances of them were the "Aktion Stahlkugel", where he climed into one of his spheres and rolled through the Art Academy of Dusselworf, and the "Olympiakugel" build in 1970 in Frankfurt/M (there are news reports from the 1970s with fotographs of the build) and ought to be rolled through selveral german cities (haven't found evidence, yet, that it actually happened). And with all the visitors, participants and press these performances were quite the public event. Latter one was a charity event to raise money for the "Deutsche Sporthilfe".
The fun part of this: Anatol wasn't the first one. In early 1932 the soccer amateurs/enthusiasts Jakob Schmid and Franz Berzel, rolled a giant soccerball through several german cities to raise awareness for the sport.. and get the occasional free meal. (-;
And Anatol was one of the first artists especially making events for children (the whole family).
3 NYC videos so far. The first was about a 1d shapes (linear equation of Broadway). Next came a 2d shape (best square squares). Now this video has 3d shapes in NYC!
So the next NYC video must involve the 4th dimension!!
Man, that looks fun. I kinda wish I could’ve helped build that. I like doing simple repetitive tasks leading to a greater whole. I like sewing and crochet, as well as needlepoint.
Wow. Google “needlepoint art”.
What the heck? How are some of those things made of tiny stitches? They look like they were painted. Did it take the artist years to do that or what? I just made a tissue box cover that looked like a very square cat. It took forever, and I had help. I kept messing up and having to take out tons of stitches. I gave it to my grandparents for Christmas, and I was so close to being late that I actually assembled it right before we went over to their house. I didn’t even have time to attach the head properly. I had to hot-glue it and hope nobody noticed.
Colours on the 3D printed models would be super awesome!
hey Matt, how do you feel about the discussion on how math is taught and how it affects peoples opinions on math growing up?
+nop e I think they are good discussions to have. But the answer is always: we need more enthusiastic math teachers.
If you don't already have it, I think you need a Ball of Whacks. It's a set of 30 magnetic blocks that together form a "rhombic triacontahedron". they can be arranged in all sorts of different shapes and is great if you can get two to form a pointed form of the original shape.
+spencerkatty Yes, I've been meaning to get one of those.
6:48 I jumped and turned around thinking someone was behind me. Holy crap, you scared me, Matt. Stop being two people at the same time. xD
9:39 congrats, black kid waving at the camera.
for this, you are now internet famous.
(people make this kid a meme somehow please)
Parker Square adds a human dimension to the mathematics
This would tie in nicely with a discussion on Stewart toroids.
I always feel that the higher-genus analogues which tessellate closed hyperbolic spaces are comparatively unloved (or shall I say systematically neglected?)
Can you make any closed loops out of the 5 other deltahedrons? I know triangular bipyramids wouldn't work because tetrahedrons don't and every triangular bipyramid can be substituted with two tetrahedrons but it would be fun to find out about the other 4.
I think one of the main reasons Die Hard 3 is my favorite Die Hard movie is because of that scene in the fountain!
Attempting the jug puzzle: pour the 3 gallon into the 5 twice, which leaves 1 gallon remaining in the 3. Dump out the 5 and pour the 1 gallon into it, then refill and pour the 3 gallon jug in, which gives you 4 gallons in the 5 gallon jug.
+standupmaths You might look into the work of Tomoko Fuse, you'll find she is the leading expert in modular polyhedral origami.
You'll find quite a few hours of amusement with some very good modules (no glue required)
Seriously she has some awesome versatile polyherdra boxes too.
"Unit Origami: Multidimensional Transformations" is a great book to check out or purchase.
+PixelOutlaw Thanks for the suggestion! I've just ordered a copy.
There's a really nice rhombic triacontahedron shaped Rubik's cube puzzle.
6:49 Matt shows is his new ability
possible with 4D cube? looks good in my head
(just so I can get this out of my head, I want to share the solution)
fill 5, fill 3 with 5, empty 3, empty remaining 2 in 5 into 3, fill 5, pour 1 into the 2 in 3, leaving you 4 in the 5! it feels good when an answer lines up like that :D
Alternately, fill 3. Pour 3 into 5. Fill 3. Pour 3 into 5 (leaving 1 in the 3). Empty 5. Pour the 1 from 3 into 5. Fill 3. Pour into 5. There is now 4 in the 5.
aww a bunch of dice. My love as a D&D player.
You got a lot of dice there. I'd really like to ee you calculate the chance of picking a particular color-combination of dice from your box, mostly because I'd like to see how you'd count a million dice without actually manually counting them.
If they are all the same weight, then weigh them, divide that by the weight of one and you have the number of items. If they are all regular cube sized dice but different weights (plastic vs metal), push them into a rectangular prism or two and multiply each of the sides.
(I hate counting dozens of items so always looking for a short cut.)
He be rollin down the street
He be rollin to the beat
If I calculated correctly you'd need 92 dodecahedron to build a triacontahedron.
As you need exactly one dodecahedron per edge and one dodecahedron per vertex:
60(edges)+32(vertices)=92
6:50!Two Matt Parkers!
The 4 galons of water puzzle is quite easy (better tought than explained, but i'll try). Just fill the one that can take 5 with 5, then fill the 3 up to the top. Now you have 3 in the 3 and 2 in the 5. Empty the 3. Now put all the content (2 galons) from the 5 in the 3. Now fill the 5 again and fill the 3 and you have 4!
I think most people would be able to solve it within 2 minutes if they got to it without the pessimism most people arrive puzzles (in my experience)
The hard part is to think while a bomb is ticking
I saw mathloger's video before!
For the 3D printed prisms:
A NEW HAND TOUCHES THE BEACON, HEAR ME AND OBEY!
Can you do a video on chomp?
I'm not completely sure, but I feel as though the Parker Square has become the first meme in the YT Math community XD
Ummmm, the gamer geeks among us know about the 30 sided dice...
I saw in the back of your office inside a bag the game quarto from gigamic. And I know this game because I also have it and play it, this is game is awesome !
+Lucas Wey Hacker Yes! A friend lent me that but I'm yet to play it much. Seems like good fun. May even put it on Maths Gear.
+standupmaths Yeah! That would be awesome!
Hey Matt, I was wondering, what ever happened to 'Festival of the Spoken Nerd [ba dum] Extra Time for Questions Podcast [dodal la dodal la dodal la do... do doo]'? Great vid as usual btw :P
+Mystery Biscuits Sadly getting all three of us together is difficult, so we decided to stop the podcast so we have time to other things. And we've since done a DVD and radio show!
+standupmaths I know, I've got/ listened to/ downloaded both. I love you're work and can't wait for the next live show!
+Mystery Biscuits *your
Are there magic rhombic triacontahedra? The rhombuses of the rhombic triacontahedron are in bands. Can numbers be put in the rhombuses so that those in each band add up to the same number?
did he finally solve the megaminx on his desk
I went to MoMath recently and bought a SIGNED COPY of "Things to make and do in the fourth dimension"! +standupmaths
Tell me if my math is right:
if a Rhombic Triacontahedron has 60 edges and each edge 3 dodecahedron's in it that means the total amount of dice needed should be no more than 180.
Rhombic Triacontahedrons also have 32 vertices, 20 of rank 3 and 15 of rank 5. removing all the double counts from the previous estimate nets you...
60 * 3 - ( 20 * 2) - (15 * 4) = 80 dice
that big box of dice
I NEED IT
I really want to re-enact Katamari Damacy with that thing.
hello i dislike math but your videos are entertaining and funny and keep my attention very well. you are smart man thanks
"It's called the world's science fair, because it's quite big, and it's in America!"
I'm a European, and I vehemently agree with the sentiment expressed.
never seen anyone using that many d12s.
yea, even that many d20s is too much.
How do I calculate the least Parker denominator in a set of fractions?
How about the tetrahedral disphenoid?
You got your red and blue the opposite way round from the big version. Parker colour wheel?
+andymcl92 Good point! I was accidentally so close.
+standupmaths I presumed it was intentionally those colours!
Your work as a post was a pretty big Parker Square, I'd say.
+Graham Rich The important thing is: I tried.
+standupmaths Alright alright, fine.
Wooo! he has a megaminx on his desk. :3
I plan on making a level 4 Menger Sponge, does anyone have an idea on how I could support it.
Nice megaminx
I was going to say that's a huge number of D12s to have in that tub, at least from a gaming perspective, but the numbers seem kinda random on them instead of the usual 1-12. Also does anyone know if the Rhombic Triacontahedron is what's used to make D30s?
+Ben Toth Those are Go First dice from mathsgear.com And I bet D30s are!
Would there be a pattern in the amout of different (not congruent) configurations of n pixels?
The amounts I found:
1 pixel: 1 configuration
2 pixels: 1 configuration
3 pixels: 2 configurations
4 pixels: 5 configurations
5 pixels: 12 configurations
6 pixels: 38 configurations (not 100% sure, but still pretty sure)
7 pixels: ?
Let's call the number of configurations for n pixels x(n). Then:
x(n) is, at least up to 6, close to x(n-1)²/2^(n-4). This formula is not exact, that is the problem. I am now trying to write a program to calculate higher amounts of pixels, since I came to the results above by drawing on paper.
Matt, could you please please pretty please with hundreds-&-thousands on top make a video about the Archimedean solids &, once you've done that, the Kepler-Poinsot solids?
+Lawrence Calablaster I don't know; there are a lot of them…
+standupmaths I know, but a quick highlighting couldn't take too long. You could even do multiple parts at different times, if you like.
standupmaths But hey, I'd be happy with anything you did :)
what are the dodecahedral dice? they seem to have unusual numbers
Matt, what brand megaminx is that in the bottom right, also it doesn't look solved, if so, why?
+Esmiow It's a Speed Megaminx Black by Cubikon. I don't like storing cubes solved!
5:50 Anyone else used to make blu-tack sculptures in school?
where do you get your bulk dice?
You should make an omnitruncated tesseract.
How does it come that it is not possible to make a loop with tetraedrons? To me this is rather surprising, as the tetraedron is the "simplest" platonic solid in some aspects. Does anyone have more information / a proof about this?
+Strichcoder I know! I need to look in to it more. I also need to build the icosahedron loop.
Megaminx still unsolved.
jajaja
+LucasFlecoRepe But slightly more solved! I need to spend more time at my desk.
If the fountain was not there and does not exist i guess one could say going back to try and look for it was a really big parker square of a quest
Do mathematicians who work in high frequency trading have offices like that as well?
+ElagabalusRex Theirs are far more boring. But they make more money!
Can anyone tell ma exactly what are the two sentences said at 6:48
things slot together. brain happy
the rhombus dodecahedron would look awesome made of a mirror
if i ever win the lottery i want to commission that as a proper sculpture in my garden.
Are there any buildings which use these shapes in their design?
+Wahaj Ahmed Not that I know of. But it would be amazing!
Matt, Where do you get your polyhedral dice?
+Hyst Connell Those are all mathsgear.com dice.
I love polygons, polyhedrons, & polychorons :)
Leave your favourite 2/3/4-D shape in a reply!
Can't choose one, but here are some!
2d- ellipsis, triangle, pentagon, hexagon
3d- sphere, tetrahedron, dodecahedron, rhombic tricontahedron (made of dodecahedra), Möbius strip
4d- Klein bottle, hyperdaimond, 4d dodecahedron
BONUS
1d- I love the line segment :-)
Eduardo Cortez Cool! :)
+Lawrence Calablaster I love all of them equally.
Tough choice but I'll say the snub disphenoid/siamese dodecahedron because it's the only polyhedron with all of its faces the same and regular but has different vertex configurations (not a platonic solid) but still has an equal number of each kind of vertex figure.
Robin Powell Cool! I'd never heard of that one before! I need to catch up on my Archimedean solids & snubsequent snub solids.
I solved the water jug puzzle differently to how they did: fill 3gl, transfer to 5gl, fill 3gl, transfer to 5gl leaving 1gl; empty 5gl, transfer the remaining 1gl to the 5gl, fill 3gl, transfer to 5gl, disarm bomb
1:00 that's a Parker square of a rhombic dodecahedron!
Mathologer is a cool channel.
+Alton Burkholder He makes such great in-depth videos.
1:24 MEGAMINX!
That's not bad!
nice grime dice, matt