I love dodecahedrons but our relationship will always be platonic

@Elesario

2 ай бұрын

Groan... but also cute.

@frba9053

2 ай бұрын

Perfect pun

@idontwantahandlethough

2 ай бұрын

nice

@greanbeen2816

2 ай бұрын

What a shame, I thought things were just golden.

@abstractapproach634

2 ай бұрын

That would break plato's heart, he thought the dodecahedron would always be your everything

D I A G O N A L S I N S P A C E

@aiocafea

2 ай бұрын

sadly youtube bitrate compression messes with my full enjoyment of D I A G O N A L S I N S P A C E

@Zi7ar21

2 ай бұрын

🛸👾

@Yezpahr

2 ай бұрын

It is just a blatant theft from Science Asylum, but I'm not even mad. Well done by Parker-man.

@victormunroe2418

2 ай бұрын

@@Yezpahr nah, clearly it's blatant theft from The Muppets

@FLPhotoCatcher

2 ай бұрын

I'm sure Adam Savage is a man. I'm tired of the misuse of my language by an elite few, who are trying to spread the misuse.

4:29 ϕ×ϕ this is my new favourite emoticon!

@JavSusLar

2 ай бұрын

Fun fact: by definition, φxφ=Φ+1

@mySeaPrince_

2 ай бұрын

🤯

@5ucur

2 ай бұрын

фхф

@felicityc

2 ай бұрын

ϕwϕ classic cat eyes

@onebronx

2 ай бұрын

¯\_(Φ×Φ)_/¯ - PARKER DIAGONAL IN SPACE!

the autotuned "but i couldnt be bothered" cracked me up, this is why matt is the best

1:31 Alex, do you want to give me a hand with this? Alex: Sure Caption: No

@thomaskaldahl196

2 ай бұрын

made me think I was insane since I had to scroll so far to find this 😭

@2ndfloorsongs

2 ай бұрын

Shamelessly stolen from Jean-Luc Godard.

@robinsparrow1618

2 ай бұрын

@@2ndfloorsongs who?

@2ndfloorsongs

2 ай бұрын

@@robinsparrow1618 Jean-Luc Godard was a famous French filmmaker. One of the many things he was noted for was having English subtitles that were frequently different from the spoken French soundtrack of his films. These were not slight differences in the translation, they contained different storylines, conversations, and descriptions of what was happening. They were frequently written by literary authors he'd invited and they were told just to view the movie and write their own script that went along with the visual film and not to worry about what the original French film was about. He was a legendary innovator and invented the "jump cut" film transition among many other things. I didn't mean to imply this was actually stolen, this was meant as a humorous joke.

@robinsparrow1618

2 ай бұрын

@@2ndfloorsongs oh ok, this is actually really interesting and cool to know about. and it's a good joke with this context, thank you

I see that VFX department got a raise recently

@tsawy6

24 күн бұрын

Timing department getting their budgets slashed

The quiet echoey "space" at 3:45 killed me 😭😭😭💝💝💝

@Elesario

2 ай бұрын

My condolences to your family.

@zeotex2851

2 ай бұрын

@@Elesario than you, its so sick how you still have access to KZread in the afterlife, didn't expect that 💝💝💝

@aMessvv

2 ай бұрын

Was about to comment this hahaha great attention to detail

The “Diagonals in SPACE” interjection might be the best highlight for this channel in a while. And I’m glad to be a part of it when it becomes a happy meme. :)

@NoNo-nr2xv

2 ай бұрын

I have heard on the grapevine they are making a film as a sequel to snakes on a plane. DIAGONALS in Space. Samuel L Jackson "I don't care if they are cubes in a compound tetrahedron, I am fed up of these god damn mother flipping DIAGONALS IN SPACE"

@falfires

2 ай бұрын

Matt still trying to make us forget about the Parker Square. But we will never forget. :D

@richbuilds_com

2 ай бұрын

I was expecting a more Piiiiigs iiiiiiin Spaaaaaace vibe.

@MasterHigure

2 ай бұрын

Clearly Science Asylum inspired, if you ask me. Not that I'm complaining.

4:42: maybe tropic would be a better word than equator, as there are two of them parallel and equidistant from the central plane.

Great job on emulating the old educational film aesthetic for those insert animations, really sent me back...

@gormster

2 ай бұрын

I think a reference to Look Around You

@andreasbaus1554

2 ай бұрын

It reminded me of the animated sequences from the classic BBC Hitchhiker's Guide to the Galaxy TV series

Excellent. I especially liked the D I A G O N A L S I N S P A C E.

12:00 a good excuse for drawing 12 pentagrams on a dodecahedron

@rsyvbh

2 ай бұрын

Matt is summoning something in the exact center of the dodecahedron so that he can trap it

@atmatey

2 ай бұрын

Fun fact: Both the small stellated dodecahedron and the great stellated dodecahedron can be thought of as 3D versions of a pentagram. They are both very cool shapes.

@nicholasvinen

2 ай бұрын

All hail Satan^12.

@frojojo5717

2 ай бұрын

@@atmateywell, duh! How else would you trap a demon in the centre?

Oh god the SFX budget went sky high for this video!

@aikumaDK

2 ай бұрын

One might even say it is IN SPACE

I was not prepared for the joke at the end. Well done.

Ben: Hey Matt! I've made a spinning dodecahedron in Geogebra! Matt (after this video): I don't need you anymore! I can make my own spinning polyhedra!

I couldn't be bothered marking the insides translates to "I gave it a go". Totally a parker cube.

Everyone taking about "diagonals in space" but 11:41 is the best voice sample for an EDM song.

@wyattstevens8574

2 ай бұрын

And what about the "but I couldn't be bothered" from 7:47?

@asheep7797

2 ай бұрын

@@wyattstevens8574they couldn't be bothered to mention it

@ps.2

2 ай бұрын

Hot take: _Howard Carter's entire soundtrack_ for Matt's entire channel is, like, the only _good_ EDM I've ever heard.

If you want Steve's subscribers, you need to fill that thing with water. You were so close! 😄 I really dig how your personality and style come through even in the bits other people help you with these days. Been a fan of yours for many years, you always bring me smiles, quite a few belly laughs and a ton of inspiration

13:34 the convex hull of the 5 octahedron compound is the icosidodecahedron. I know this video is about regular dodecahedrons, but I was a little sad when you brushed it off. It’s my favorite compound, my favorite stellation, and my favorite faceting. It also looks a whole lot like my one of my favorite polyhedra, the disdyakis triacontahedron!

@galoomba5559

2 ай бұрын

The icosidodecahedron _is_ its convex hull. I don't know what Matt was talking about, maybe he meant that the convex hull is not regular.

@columbus8myhw

2 ай бұрын

@@galoomba5559It really sounds like he accidentally skipped a word.

7:43 It's the "Parker Fluorescent Embedded Cube", he's done it again!

Are you THE Matt Parker from the Parker Square? What an honor!

Discovering the square within the dodecahedron reminds me of the end of this demonstration of the Cross Sections app: kzread.info/dash/bejne/ZKl8yKipYbupgMY.html Let me know if a tool like that could aid in visualization. You could possibly do a follow-up on the hexagon within the hexahedron.

You should be honest - "You might know me from Numberphile video with the Parker Square"

@awebmate

2 ай бұрын

The first time Matt had a collab with Adam, he referred to him as "Adam Savage from Mythbusters". In return, Adam Savage referred to Matt as "Matt from Numberphile".

@CBWP

2 ай бұрын

Adam was with mythbusters. Matt isn't with numberphile...

The cube dodecahedron relationship is like, my favorite thing about 3d geometry, its so beautiful

@needamuffin

2 ай бұрын

Mine is the three orthogonal golden rectangles forming the verticies of the icosahedron.

@terdragontra8900

2 ай бұрын

@@needamuffin oh yes, in fact, that is also a result of same connection between the symmetry groups. (the icosahedron is duel to the dodecahedron, and three orthogonal planes have an associated cube)

@estherstreet4582

2 ай бұрын

Every d12 I own (which is 2, I'm not a weird dice hoarder) has the cube shape drawn on in sharpie, it's so satisfying to look at. I also like how the pieces you'd have to "cut off" to make the dodecahedron into a cube are shaped like little rooftops.

@HunterJE

2 ай бұрын

The smaller solids left behind by the shapes discussed are super satisfying in their proportions too, both the sort of flattened, obliquely truncated triangular prism you get from cutting along the square/cube and the frustrum of a pentagonal pyramid cut off by the near-equatorial pentagon...

@jace.miller

2 ай бұрын

I like several of the integrated shapes. Discovering the square within the dodecahedron reminds me of the end of this demonstration of the Cross Sections app: kzread.info/dash/bejne/ZKl8yKipYbupgMY.html

8:00 the rotation due to parallax and the actual rotation cancel out briefly. very cool to see

"Lots of ridiculous maths things" .... is possibly the best description of this channel I have heard ....

Matt Parker: "There are 5 regular polyhedra." Me, a jan Misali enjoyer: "there are 48 regular polyhedra"

The dodecahedron is slowly de-throning the icosahedron from being my favorite platonic solid, thanks to crazy fun stuff like this.

Oh, yeah! I have Steve's last video on the "watch later" list but I always forget that list. Thanks for reminding me, Matt!

7:40 this is next level editing XD

8:32 it tickles me no end to learn that Matt is a Look Around You fan

8:24 matt's mental maths is on point

4:25 This diagram is the longest space diagonal, not the medium-sized one Matt is talking about in this segment. But the length (phi^2 = phi + 1) is correct for the medium-sized one!

@Peterwhy

2 ай бұрын

Thanks, I paused and looked for this comment.

@user-wj7rq2ny2p

2 ай бұрын

phi^2 = phi + 1 Golden ratio quadratic equation.

One thing to do would be to also tape the insides, but wait, there's more... you could have taped each cube with a tape (or drew with a marker) that reacts to a different wavelength of UV. Then by switching different blacklights you could switch between the cubes instead of having them on all at the same time.

@TheGreatAtario

2 ай бұрын

Are we sure there is such a product?

I love the over-the-top editing style.

@Reprint001

2 ай бұрын

Just goes to show how you can't please everyone. I hate it.

This was so much fun to watch and in my opinion one of Matt’s best in terms of pure enjoyment and entertainment. Matt’s enthusiasm is totally infectious and a delight to watch. The brilliant choice of music only added a new dimension (!) and I cannot praise this video enough!

@agrajyadav2951

2 ай бұрын

agreed

Correction: graphic at 4:22 is longest diagonal = φ √3.

@robinsparrow1618

2 ай бұрын

replying to boost the correction

Once again, you're knocking it out of the Parker with these videos!

I had to make a geometric solid out of paper as a highschool project. I chose a dodecahedron and it was pretty wild finding out that the whole net can be constructed (with straightedge and compass) using just a unit side and like 3 or 4 powers of the golden ratio. Imagine unfolding one half of the dodecahedron into a flower shape. That flower is bounded by a pentagon that's phi^2 larger than the faces.

Good ol' small stellated dodecahedron and the great stellated dodecahedron

@12:53 seven swans a-swimming, six geese a-laying, FIIIIIVE INTERSECTING CUUUUBES

There is something SO satisfying about those taped models. Thank you.

8:34 "Write that down in your workbooks" 🤣

3:30 I immediately know where this video is going and I love it!

I absolutely adore the visual representation of the see through dodecahedron with the tape to show the square, pentagons etc! it's just such a satisfying visual proof of the lengths of the space diagonals

the editing on this is impeccable

6:45 the coolest part of this was that this was wholely unsurprising thanks to your previous videos on the rhombic dodecahedron It's lovely when one maths investigation is helpful in understanding a completely unrelated one

*Diagonals in Spa-*

Matt, you are honestly a master educator. I'm in my thirties and failed nearly every math class I ever took (and whatever I did manager to learn, I promptly forgot when I graduated high school). Every time I watch one of your videos I learn something and I'm able to truly understand and retain concepts that boggled my mind before.

The editing is genius

Imma need that track. 🎶"I couldnt be bothered."🎶

I aspire to enjoy my work as much as Matt

Great to see you cover this, I adore the dodecahedron and its properties. I'd love to see you explore the geometry of DNA!

Rollie Williams would be proud of the video's style I reckon

The subtle joke for diagonals in space about 4 minutes in was really good. I imagine you were thinking, this is a bit silly, no one’s gonna even care. I care. That caught me off guard.

I love the ones where you can tell how much fun he had with it, and also where the concepts don't fly too far above my head. Also I can see myself making a shitty scaled down version of this in the future.

When I started learning 3D modeling and animation on the Amiga circa 1988, one of the bigger challenges I set for myself was modeling and animating regular pentagonal dodecahedron with a raised star on each face (similar to the Chrysler logo) -- thus the dodeca-deathstar was born. A couple years later, working in high end video post production, I used the mathematical precision of the amazing Ampex digital optics device with a precise pentagon matte to layer a spinning dodecahedron with different video on each face -- calculating exact angles and depth offsets with an HP-15c calculator was a wonderful challenge that grew my maths skills considerably. Sorry Matt, but the platonic dodecahedron is, and always will be, the BEST dodecahedron.

Legend says that he still says "Diagonals in Space"

I almost audibly gasped when you taped that square on. This was a really cool way of showing everything, better even than a 3d animation or something I think.

I love your visualization, it makes the whole thing insanely well understandable for me

This was such a good visual demonstration!

I love me some DIAGONALS IN SPACE

I am excited for your new book!

It hits better when you can visualize it in real life. Thanks Matt

The compound polyhedron made of a pair of intersecting regular tetrahedra, is aka the "stella octangula." It was a favorite of Johannes Kepler, the guy who fiddled around with the 5 Platonic solids to try to explain the relative sizes of the planetary orbits, and the guy who formulated the famous "3 Laws of Planetary Motion" that bear his name. Anyway, the 8 vertices of the stella octangula are the vertices of a cube. Which also explains the 10 regular tetrahedra in the regular dodecahedron, once you've highlighted the 5 cubes in it. Fred PS. Also interesting to note, is that the main (longest) diagonal of an n-dimensional hypercube of unit edge, is √n.

Matt thanks for running the only math channel I've found that will always explain things in a way that makes sense and makes me laugh every time! I've been watching your videos for a long time and you've only gotten better with time!

I've always loved the regular compounds and their beautiful symmetry. When I built my first raytracer and figured out how to raytrace cylinders, the compound of 5 tetrahedra (which is my favorite) was one of the first things I made a render of. The regular compounds were the first things I printed when I first got my hands on a 3D printer. Great video as always!

I always was a fan of the Icosahedron, but this video made me appreciate the Dodecahedron.

9:20 "The shape we were trying to made was the compound-5-intersecting tetrahedra. Here is a picture [...] and I've actually got a little print out over here" - am I the only one who was a bit sad that it wasn't a 3D print?

the editing is amazing!!!

So good, Matt!

That's a lovely, easy to visualize, and excellent way to explain these conceps. Absoulytely a great example of how to teach a concept really well. Good job, Matt.

Turning obscure math into real world objects, keep up the good work Matt!

There are, in fact, more than 5 regular polyhedra! jan Misali has a great video on this, titled "There are 48 regular polyhedra" if I recall correctly

Excellent graphics!

Id love the multicoloured luminous compound polyhedron as a pendant

This is one of my favorite Stand-Up-Maths video!!!!!

A masterpiece of maths and editing

What a lovely coincidence I'm building nested platonic figures in bamboo sticks (up to 3m) with my students at the moment and analyzing this video is their homework. Thanks, Matt.

your videos are capable of pulling one out of depression and make them fall deeper in love with mathematics. Thanks a lot for your work, sir.

Loved the book! I love how you were able to invent *time traveling* with trig! Mark my words, This is going to be the best-selling book in history!

This is one of the most awesome things I've seen. So much better than CGI

Adding new shapes to the friends list!

This is why the dodecahedron has magical powers.

“Seemed clever at the start, I regretted it immediately”… that can basically be the theme of my life 😂

man my workbook is getting full thank you for that note

Love how you cut away from the deeply unsatisfying 'Parker Peel' at the end of the intro.

I like how the cable ties make dotted lines under the black light.

This is so unhinged, and I mean that as an absolute compliment

You are on fire, so many videos

Matt just dropped the hardest cube-in-a-dodecahedron edit and thought we wouldn't notice!

"You're a geometer? What does that mean?" "I study shapes in space." "How did they get up there?"

Matt, I'm pretty sure the dodecahedron mesh at 1:07 is wrong - aren't the opposite faces supposed to have opposite orientation? All the front faces are also meeting the rear faces on two edges!

@robinsparrow1618

2 ай бұрын

oh yeah, that looks really weird now that i see it

@jonathonweeks2410

2 ай бұрын

I noticed this and immediately started looking for these comments. I'm glad I'm not alone!

@cherylroyer2365

Ай бұрын

It's a doParkerdecahedron.

The long awaited cube asset video!!

loved it! dodecahedrons are awesome

Brilliant example of fairly simple geometry being done really, really beautifully, love the UV :)

We want a t shirt of this with text "Diagonals IN SPACE"

Did not disappoint with the Steve Mould banter.

_but I couldn't be bothered_ is one hell of a mood

Excited for Alex’s cube animation