Correct me if I am wrong... (because I want to try it) you used 4" by 4" post-its... each corner has 3 post its... times 30 corners.. meaning I need at least 90 post it's... this might take a while but i'll email it to you soon.
Tried 3 modules, just to see how it worked... somehow an hour later I had a dodecahedron sitting in front of me. This project has an almost skinner-box experience, as you see the result coming together.
Thanks for the video; I now have a new desk piece!
You said that the 5-color dodecahedron gave you a bit of a head-ache. You probably figured it out already, but one pretty good pattern is to match the side opposite the corner you're connecting your piece to. This will then cause the 6 pieces of each color to be opposite of each other, through the solid, and one on "top" and "bottom"!
@muffemod Ah yeah, that could work well idd, less chance to let it fall apart. I was trying it with weak adhesive tape, I could peel it off after finishing the dodecahedron.
any one else having trouble putting the 3 corner sets all together? i have the moduals in there 3 part corner, and the 3 part corners in the 3 corner ses, but i cant get the 3 corner sets into the next set, anyone can help?
@animewisher Actually, what I did was I just put in individually instead of sets. This makes it much easier for me. To make your first pentagon, you combine 2 of those sets to make 4 sides. Then, you only use 1 OTHER side to join both sets together to get 5 sides of your pentagon. After that, I combined the other modules individually. Even though it's slow, it works! The video isn't really clear on this, so I got rage-mad when I tried to do this first.
It's cool how the holes are all pentagons as well. This video brings me back to my geometry and discrete mathematics course. Those crazy dodecahedrons.
Can you show how to put the groups of modules together? The furthest I could go is combining the 3 modules together, then I'm stuck because you skipped to the ending.
Man, you deserve so much more exposure. You put so much effort, energy, enthusiasm and thought into each of your videos and you pull it off sincerely. If I had a large sum of subscribers I'd pimp you out at the end of every video I made.
I hope you go viral soon :), you're one of the few who deserve it.
There's a nice proof that there are only 5 regular solids (Platonic Solids). There have to be at least 3 faces at each corner, and the sum of the angles at each facing must be less than 360 degrees.
Triangles with interior angle 60 degrees:
3*60 < 360 makes Tetrahedron
4*60 < 360 makes Octahedron
5*60 < 360 makes Icosahedron
Squares, 90 degrees:
3*90 < 360 makes Cube
Pentagon, 108 degrees:
3*108 < 360 makes Dodecahedron
Any more facing or any larger angle and you can't make a 3D corner anymore.
@singingbanana you really like dodecahedra? i saw your video "how to make pop-up dodecahedron" :) it's fun to make though :) oh.. and i like your videos :) i don't get them most of the time that i have to watch it over 4 times to get it.. but very nice :)
Oh oh! There's a small graphical error. In the recap, you've made a Z to represent a cross section of the module. And if the two outer lines are 1 length unit each, the middle on is sqrt(2) length units...
i think that it's possible to make modules, that will not work with each other. if you fold one one way and another the other way they will not fit together.
Cool puzzle with beautiful solution. We have a 4 by n grid (4 rows, n columns). We have a knight. We want to place the knight on a given square and then visit every other square exactly once, using knight moves, of course. Is this possible? If not, prove it so.
@11Agamemnon235 You have an inner lattice of the 2x2 squares, and an outer lattice of the remaining 12 squares. Each move switches between the 2 lattices. There are 3x more outer lattice positions so a knights walk is not possible.
My goal for the next 45 minutes: take four sheets of paper, tape them all into one sheet, crop some to fit 4x3 units (if needed to), and this will become ONE post it for me dodecahedron.
Can you get a smaller dodecahedron inside of a larger one, using enough colors that the smaller and larger ones will never correlate colors, and every face is of different colors?
Modular Origami I see. You should look more up and do some geometric and statistical analysis on it.
Somebody did an International Baccalaureate Math Project on origami years and years ago at my school, and was one of the very few that got full marks for it.
are you SURE you can? Each color has to have 3 different colors, how would you make a pentagon from 5 corners with 3 colors each, with no color touching? I don't know why I thought they were hexagons when I posted that... maybe 4 colors is possible.
Considering the ring of colors in a pentagon, red, green, blue. It could go r-g-r-g-b. An adjacent pentagon shares two colors. so maybe r-g-b-g-b. Still... I'm not sure if you can finish it like that...
@CardMagicianJoeKing I went looking online for some answers. I know each module touches 4 others, so that's the equivalent of a 4-regular graph. I found a paper that made the statement that almost all 4-regular graphs have a 3-coloring. So... Hell, i thought singingbanana's remark was a bit offhanded and that he misunderstood me. Maybe he's already worked this out?
anyone else love how British people say "zed" for z?
MisterRedstone 4 days ago
@MisterRedstone Actually, America is one of the few places who pronounce Z as "zee".
GallifreyGames 4 days ago
@GallifreyGames Ya i know, i just love hearing people say it like that.
MisterRedstone 4 days ago
Love it! I'll make one in the weekend :D
GiorgioCapocasa 5 days ago
How about an origami tesseract?
CogitoErgoCogitoSum 5 days ago
I was going great until 3:10 where you said "now make 30" ! :-0
hahahah
MindflowAU 5 days ago in playlist Uploaded videos
I failed horribly. Now I have 30 correctly folded post it notes that I lack the dexterity to assemble...
J0shReed 1 week ago
Correct me if I am wrong... (because I want to try it) you used 4" by 4" post-its... each corner has 3 post its... times 30 corners.. meaning I need at least 90 post it's... this might take a while but i'll email it to you soon.
killeramaru 1 week ago
@killeramaru you need only 30 post its. 30 modules... not 30 corners
pvskpraveen 1 week ago
the world will now have a shortage of Post-It's
lmkonzen 1 week ago
i dont get how to connect the three modules to eachother
PrinceBooThang 1 week ago
This man draws the straightest lines I've ever seen, WITH A PEN.
SpoonSamaXD 1 week ago
Tried 3 modules, just to see how it worked... somehow an hour later I had a dodecahedron sitting in front of me. This project has an almost skinner-box experience, as you see the result coming together.
Thanks for the video; I now have a new desk piece!
lordkappa 1 week ago
I shall attempt this. But I cannot help myself, and ask... isn't the plural 'dodecahedra'?
themissingn 2 weeks ago
2:52 mathgasm
affablegiraffable 1 month ago in playlist More videos from singingbanana
I made a giant one out of printer paper, took me like 3 or 4 hours last night lol.
MrRyanDuba 2 months ago in playlist More videos from singingbanana
That's 90 post-it notes!
Triplepower4 3 months ago in playlist My Maths Videos
I tried for ! hour and they still drop off!
kurdbros 3 months ago
You said that the 5-color dodecahedron gave you a bit of a head-ache. You probably figured it out already, but one pretty good pattern is to match the side opposite the corner you're connecting your piece to. This will then cause the 6 pieces of each color to be opposite of each other, through the solid, and one on "top" and "bottom"!
2003z440 3 months ago
Challenge completed
supermanXL 3 months ago
i finally got the first one done
supermanXL 3 months ago
I regular solid??? I used to have very irregular solids, but now I eat more fiber... Problem solved
weldmaster80 4 months ago
I am making one right now :p
427557 4 months ago
@427557 :)
muffemod 4 months ago
@muffemod I watched the video on your channel and I was wondering the same, I was also having trouble getting the compounds together. :S
427557 4 months ago
@427557 You don't make ten 3-piece units. Instead you make a few (I made three 3-piece units) and laced a bunch of individual modules to make it.
muffemod 4 months ago
@muffemod Ah yeah, that could work well idd, less chance to let it fall apart. I was trying it with weak adhesive tape, I could peel it off after finishing the dodecahedron.
427557 4 months ago
Can teach us how to make a great stellated dodecahedron as well?
HappyMemoryXD 4 months ago 4
can you use a full pice of papper?
TheSuperMagicTaco 4 months ago
the number of dislike = the number of curved surface of this Dodecahedron
it should stay this way ;)
lolOrToT 4 months ago
Brilliant. I know what I'm making at work tomorrow!
allenu 4 months ago
I wish I knew more super math teachers on youtube ): do you know any similar to yourself?
gC222SA 4 months ago 5
@gC222SA I did a video recently called YouTube recommendations
singingbanana 4 months ago 5
what the hell?!? this is too hard :'( im so frustrated!!!!
sparkles78910 4 months ago
Thumbs up if Mr. Mehta Sent you!
javalin597 4 months ago
@javalin597 Pretty sure I heard him on Chris Evans Breakfast show on Radio 2 at work this morning, as the 3 minute mystery interview.
lmcgregoruk 4 months ago
@lmcgregoruk Yes you did.
singingbanana 4 months ago
pööstit nöte
CosteTR 4 months ago
I just did this.
i like, an hour - two.
YAY FUN.
Meundie 4 months ago
any one else having trouble putting the 3 corner sets all together? i have the moduals in there 3 part corner, and the 3 part corners in the 3 corner ses, but i cant get the 3 corner sets into the next set, anyone can help?
animewisher 4 months ago
@animewisher Actually, what I did was I just put in individually instead of sets. This makes it much easier for me. To make your first pentagon, you combine 2 of those sets to make 4 sides. Then, you only use 1 OTHER side to join both sets together to get 5 sides of your pentagon. After that, I combined the other modules individually. Even though it's slow, it works! The video isn't really clear on this, so I got rage-mad when I tried to do this first.
PullarBearBear 4 months ago
It's cool how the holes are all pentagons as well. This video brings me back to my geometry and discrete mathematics course. Those crazy dodecahedrons.
Triptographix 4 months ago
I made one, it is so fun and my parents and my brother were amazed. Thanks so much singingbanana! :)
olliecamel 4 months ago
Can you show how to put the groups of modules together? The furthest I could go is combining the 3 modules together, then I'm stuck because you skipped to the ending.
PullarBearBear 4 months ago
Singingbanana rules! THX!
ComandaJoeLM 4 months ago
Comment removed
PullarBearBear 4 months ago
Man, you deserve so much more exposure. You put so much effort, energy, enthusiasm and thought into each of your videos and you pull it off sincerely. If I had a large sum of subscribers I'd pimp you out at the end of every video I made.
I hope you go viral soon :), you're one of the few who deserve it.
Keep making great videos please :)
18Jeebuz 5 months ago in playlist Videos from singingbanana
There's a nice proof that there are only 5 regular solids (Platonic Solids). There have to be at least 3 faces at each corner, and the sum of the angles at each facing must be less than 360 degrees.
Triangles with interior angle 60 degrees:
3*60 < 360 makes Tetrahedron
4*60 < 360 makes Octahedron
5*60 < 360 makes Icosahedron
Squares, 90 degrees:
3*90 < 360 makes Cube
Pentagon, 108 degrees:
3*108 < 360 makes Dodecahedron
Any more facing or any larger angle and you can't make a 3D corner anymore.
antares5245 5 months ago 2
white man
white shirt
white room
white table cloth
white Dodecahedron
08CJ11 5 months ago
Singingbanana make a hexacosichoron :-), i think it is easy for you
SapphireHD5850Xtreme 5 months ago
Thumbs up if you are Chinese and laughed when he explained the words SB.
KayMa1992 5 months ago
procrastination thy name is paper dodecahedron
lebagelboy 5 months ago
@singingbanana you really like dodecahedra? i saw your video "how to make pop-up dodecahedron" :) it's fun to make though :) oh.. and i like your videos :) i don't get them most of the time that i have to watch it over 4 times to get it.. but very nice :)
delyn0831 5 months ago in playlist More videos from singingbanana
Comment removed
PullarBearBear 5 months ago
that's great - I'm going to make one at work :D
BrotherBloat 5 months ago
No dislike :O
Zoidmatrix 5 months ago
@swinjy You need to double that (an edge has a corner at each end), there are 20 corners.
singingbanana 5 months ago
Oh oh! There's a small graphical error. In the recap, you've made a Z to represent a cross section of the module. And if the two outer lines are 1 length unit each, the middle on is sqrt(2) length units...
Gameboygenius 5 months ago
@Gameboygenius I actually was aware of that, but decided the diagram would be clearer if I made it that way :)
singingbanana 5 months ago
i think that it's possible to make modules, that will not work with each other. if you fold one one way and another the other way they will not fit together.
LewisAM37 5 months ago
Awesome, let me get my post-its..
hurpderp123 5 months ago
Modular Origami - Best use for spare time and paper :D Do you know Sara Adams?
DerEngelDesTodes 5 months ago
Is it common in England to refer to the letter "Z" as "zed"? We in the US say "zee".
SaiyanKirby 5 months ago
@SaiyanKirby I had a British math(s) professor once who said "zee" but would occasionally grumble about the fact that he'd prefer to say "zed."
wrightmath 5 months ago
I always said this channel needs more 'regular solids' jokes. Bravo!
WhiteHenny 5 months ago
Comment removed
Alfalotter 5 months ago
Cool puzzle with beautiful solution. We have a 4 by n grid (4 rows, n columns). We have a knight. We want to place the knight on a given square and then visit every other square exactly once, using knight moves, of course. Is this possible? If not, prove it so.
11Agamemnon235 5 months ago
@11Agamemnon235 You have an inner lattice of the 2x2 squares, and an outer lattice of the remaining 12 squares. Each move switches between the 2 lattices. There are 3x more outer lattice positions so a knights walk is not possible.
Thx for the fun mental problem.
antares5245 5 months ago
THAT IS SO COOOOOOL!!!!!
darkdudironaji 5 months ago
This is fantastic.
11Agamemnon235 5 months ago
2:52 Abstergo at work
XxtreborobertxX 5 months ago
Where u bin so long. Ps I spelt been like that on purpose
GSA14101996 5 months ago
My goal for the next 45 minutes: take four sheets of paper, tape them all into one sheet, crop some to fit 4x3 units (if needed to), and this will become ONE post it for me dodecahedron.
tamsWTFvideos 5 months ago
@tamsWTFvideos DOOO IIITTTT!!!!
munchluxe63 5 months ago
Using the same 4 by 3 piece of paper, you can also make square, hexagonal and triangular modules too.
pjbolas 5 months ago
Can you get a smaller dodecahedron inside of a larger one, using enough colors that the smaller and larger ones will never correlate colors, and every face is of different colors?
Lagolicious 5 months ago
megaminx!!!
Speedcuber105 5 months ago
Lovely. First origami thing I've seen that made sense. ;^) Thank you.
markovchaney1950 5 months ago
nope 904
nicholishere 5 months ago
in this video there is 604 sticy notes 8O
nicholishere 5 months ago
Modular Origami I see. You should look more up and do some geometric and statistical analysis on it.
Somebody did an International Baccalaureate Math Project on origami years and years ago at my school, and was one of the very few that got full marks for it.
WhiteRAZOR 5 months ago
Can you make a 3 color dodecahedron with no same colors touching? I must try that.
oEQjet 5 months ago 16
@oEQjet You can...
singingbanana 5 months ago 21
@singingbanana err wait a minute... pentagon sides...
are you SURE you can? Each color has to have 3 different colors, how would you make a pentagon from 5 corners with 3 colors each, with no color touching? I don't know why I thought they were hexagons when I posted that... maybe 4 colors is possible.
oEQjet 5 months ago
@oEQjet err... I meant to say "each corner has 3 different colors.
oEQjet 5 months ago
Comment removed
CardMagicianJoeKing 5 months ago
@CardMagicianJoeKing "Still can with 3 maybe" hey maybe you could. maybe...
Considering the ring of colors in a pentagon, red, green, blue. It could go r-g-r-g-b. An adjacent pentagon shares two colors. so maybe r-g-b-g-b. Still... I'm not sure if you can finish it like that...
oEQjet 5 months ago
@singingbanana Groetzsch's Theorem guarantees it, right?
wrightmath 5 months ago
@wrightmath Yup.
singingbanana 5 months ago
@oEQjet yeah, thats what i was thinking, but i dont think all of the sides would "fit" together
CardMagicianJoeKing 5 months ago
@CardMagicianJoeKing I went looking online for some answers. I know each module touches 4 others, so that's the equivalent of a 4-regular graph. I found a paper that made the statement that almost all 4-regular graphs have a 3-coloring. So... Hell, i thought singingbanana's remark was a bit offhanded and that he misunderstood me. Maybe he's already worked this out?
oEQjet 5 months ago
If the multi-coloured one gave you headaches, you should try to build the five intersecting tetraedra. You can find it somewhere around on youtube.
VC112358 5 months ago
3:37
surely you mean bottom left and top right
or am i just really confused?
CardMagicianJoeKing 5 months ago
@CardMagicianJoeKing you're confused, think of the left side as the top, and the right side as the bottom (flip it 90 degree's right)
tjv323 5 months ago
@tjv323 ah, i get it, thanks
CardMagicianJoeKing 5 months ago
That's amazing! So this is what you research, instead of one of those millenium prize problems. :P
nelsyeung 5 months ago
i so wanna crush that paper dodecahedron
10Dante4 5 months ago
@Singingbanana + origami = WIN
MOSpr0ductz 5 months ago
Mathematicians seems to be so free, I might consider becoming one in the future...
HappyMemoryXD 5 months ago
lol at 4:08 the pink dodecahedron is white for about half a second.
redjr242 5 months ago
Comment removed
HappyMemoryXD 5 months ago 2
@HappyMemoryXD Nice.
singingbanana 5 months ago
Modular origami is awesome, check out jonakashima and adamssara for more designs
RandomNinjaOfEvil 5 months ago
LOL, you so punny! :P
lassefan 5 months ago
I love how you call your wee bit o' paper a module. :)
superfluousness321 5 months ago
@superfluousness321 I love how you call his module a wee bit o' paper
MrWowgod 5 months ago
That's something to do at work...
Abvance 5 months ago 63
you can tell your doctor you've been making regular solids LMAO
MasterA55a55in 5 months ago 90
@MasterA55a55in best joke ever LOL
thejumperkin 5 months ago
I'm currently making one. I'll probably send you a video response :3
Butt4cak3 5 months ago
@Butt4cak3 yes, yes, yes!
EighteenCharacters 5 months ago
i'm so glad i have post-its. i'm gonna make one
LittleBlackSparrow 5 months ago
Wow James, this is really cool...
ericsurf6 5 months ago
I gave up after the first module
xXdenhartXx 5 months ago
Great Video. I'm gonna have to teach this to my club ^.^
blo0dy9aces 5 months ago
Now I have use for my colourful post it notes =D
Zomcrotic 5 months ago
:D
FHomeBrew 5 months ago
=D
kiIIamaim 5 months ago
1st, 8th view
goncalovm96 5 months ago
Awesome! I'm going to try that when I come home.
Theowest 5 months ago