+Luca Bossa Personally I think of the 4th dimension as several 3D spaces that are connected to each other and exist in the same 3D coordinates. For example, you could walk in the so-called "ana"/"kata" direction to get to some other 3D space, and if you did that then you would disappear from this space that we live in right now and enter another space. From there, you could move in the same 3D coordinates as in this space, but you wouldn't actually interact with anything in this space, you would just move around in those coordinates. This would allow you to do things such as pass through walls, and then reappear on the other side by walking back into this space again. I think this idea makes a lot of sense, it is completely analogous to getting out of a house in Flatland by moving "out" of it through the vertical dimension.
Ok so it is 2016 (Who's watching (JOKING)). It will be soon ish 3 years so you should be rolling out those sweet 7D Hyper solids of constant hyper length.
Of course, because they are 7 dimensional, they are not only of constant length, but also of constant width, height, and the other 4 dimensions as well! They're really quite remarkable.
I've watched like 4 different videos about these and haven't seen one person just roll them yet. They always use a hard surface on top. Would they not go straight if you rolled them across a table?
If the edges that are rounded off are opposite edges that aren't rounded off, can't you just round them off half-way through and do the rest on the opposite side, thus achieving perfect symmetry?
Unfortunately, no. It's difficult to explain why without a proper model to demonstrate, but suffice it to say that the edges must be sharp because they act as axis upon which the rest of the shape rotates when the shape is rolling. Also, although very close, not all sides are perfectly identical, at least not if the shape has been made properly.
They're not exactly rounded off. I think that's an inaccurate way of explaining it. Imagine you have a 2D triangle of equal width. You draw a straight line from one corner to another, and then rotate the shape through space along that axis for 35.26 degrees (the angle of the edge of a tetrahedron). The arc that the opposite point of your triangle makes through space becomes one of the sharp edges. The edge opposite that point also makes an arc through space, which would look like a narrow rounded strip that is widest in the middle. This is the "rounded edge" If you're looking for numbers, then if the shape has a width of 1, then the width of the rounded off edge will have a width of approximately 0.082 at it's widest point, in the center.
Seven years later...I would rather enjoy owning a set of these objet d’maths yet get an error when linking to your shoppe. Did Mould break the mold? Can you not manufacture mass maths quantities? Must you be so inconsistent with your shapes of constant width?
No recomendaría los productos que vende esta página para nada. La atención al cliente que (no) tienen es absolutamente lamentable. Para un pedido que he realizado he tenido un montón de problemas y me parece patético que no se hayan dignado a responder un correo de los que he enviado. Por no decir que he tenido que pagar más por los gastos de envío que por el propio producto. Servicio nefasto. I would not recommend the products this page sells at all. The customer service they (do not) have is absolutely pitiful. For an order I have placed I have had a lot of problems and I find it pathetic that they have not deigned to respond to one of the emails I have sent. Not to mention that I have had to pay more for shipping costs than for the product itself. Disastrous service.
"...4D shapes of constant width within a year or two" That made me laugh since a 4D object is a 3D object traveling in time. (depending who you ask) I'm easily amused.
Presumably he means 4 spacial dimensions. In which case, we can't really witness them first hand all at once, but we can create 3D shadows of the 4D shape from different angles, or various other 3D projections of the 4D shape over time to get the full effect. It's all in his book, "Things to Make and do in the Fourth Dimension" I'm not familiar enough with the 6 4D platonic solids, but if there is one like the tetrahedron where there is a shape opposite a vertex, then I think it should be possible.
I dunno what it is with Steve's eyes, but he should endeavour to always be clean-shaven, otherwise he just looks like he hasn't slept for days. I suppose he's also got the genes for a thick, fast-growing beard, just to make that harder. Maybe grow the beard then. I dunno what to do about the eyes, is it too many blood vessels? Have the lids lasered? You could just wear makeup, there's loads of eye-brightening makeup. Ask whoever does Donald Trump's. I'm not saying he's terrible to look at or anything, he's a decent looking bloke, he just looks so tired! While I'm being tactlessly helpful, turned out Matt's got a perfectly nice shaped head under there, so losing his hair wasn't too bad. The two of them probably stink of testosterone. Women entering that room will become spontaneously 8 months pregnant.
Still waiting on the 4D version. How's the progress coming along for them?
I think they built it 12 years from now.
Everyone wants the 4d ones. That's bad salesmanship, you should get them excited about the incoming 1d lines of constant length!
4D shapes of constant width :O
There's no such a thing as "width" in a 4D world.
+theking94hm wrong wrong wrong xD
4D is lenght, width, depth and the fourth one..
+Luca Bossa
Personally I think of the 4th dimension as several 3D spaces that are connected to each other and exist in the same 3D coordinates.
For example, you could walk in the so-called "ana"/"kata" direction to get to some other 3D space, and if you did that then you would disappear from this space that we live in right now and enter another space.
From there, you could move in the same 3D coordinates as in this space, but you wouldn't actually interact with anything in this space, you would just move around in those coordinates.
This would allow you to do things such as pass through walls, and then reappear on the other side by walking back into this space again.
I think this idea makes a lot of sense, it is completely analogous to getting out of a house in Flatland by moving "out" of it through the vertical dimension.
Ok so it is 2016 (Who's watching (JOKING)). It will be soon ish 3 years so you should be rolling out those sweet 7D Hyper solids of constant hyper length.
Of course, because they are 7 dimensional, they are not only of constant length, but also of constant width, height, and the other 4 dimensions as well!
They're really quite remarkable.
Not available in our observable univserse (though if that extra dimension can be time, they already sell 4D constant width solids :))
Still waiting for those 4d shapes mat... *are you holding out on us?!?*
At last someone's BSc project from 1974 comes in handy! Not that they designed the solids, but that's what the yellow book is!
I think i will wait for the 4D one!
Plane perpendicular ? NO ?
+Embeh I am sure he ment the normal of the plane is perpendicular :D
+Peter Mlakar I don't think he thought that far, just meant parallel
I love you guys.
I like this expansion on the 2d version
Yay! Cool stuff guys, cool stuff.
lmao at "Steve shows Matt his non-spherical balls." It always pays to read the info. These are awesome toys.
I've watched like 4 different videos about these and haven't seen one person just roll them yet. They always use a hard surface on top. Would they not go straight if you rolled them across a table?
no, the center of mass moves as they roll and they won't roll straight
When will these be back in stock? You said you'd have them by april 2017 and now it's backed to july. PLEASE I really want them.
Very cool!!!
If the edges that are rounded off are opposite edges that aren't rounded off, can't you just round them off half-way through and do the rest on the opposite side, thus achieving perfect symmetry?
Unfortunately, no.
It's difficult to explain why without a proper model to demonstrate, but suffice it to say that the edges must be sharp because they act as axis upon which the rest of the shape rotates when the shape is rolling.
Also, although very close, not all sides are perfectly identical, at least not if the shape has been made properly.
2:37 not perpendicular but parallel
if they were rubbers that would be amazing
I'd buy some if you made dice.
Dont watch with headphones.Seriously.
Adriyaman Banerjee Why?
so i just came from your "unusual polyhedral dice" video- couldnt you solve the d4 rolling problem by making them this shape
Is it a platonic solid?
I recognise these guys from numberphile!
How much are the edges rounded by?!?!!?
They're not exactly rounded off. I think that's an inaccurate way of explaining it.
Imagine you have a 2D triangle of equal width. You draw a straight line from one corner to another, and then rotate the shape through space along that axis for 35.26 degrees (the angle of the edge of a tetrahedron). The arc that the opposite point of your triangle makes through space becomes one of the sharp edges. The edge opposite that point also makes an arc through space, which would look like a narrow rounded strip that is widest in the middle. This is the "rounded edge"
If you're looking for numbers, then if the shape has a width of 1, then the width of the rounded off edge will have a width of approximately 0.082 at it's widest point, in the center.
6
but where did michael palin find the elixir of youth?
Why aren't you selling the solids of constant width and time yet?
It's LEGO!
I'm waiting for the 4d version to come out before I buy them.
did you notice your subs are 3,141 - the first 4 digits of pi!!!
+Meghan Strudwick That's awesome! :D
*Subscribes*
Buzz me when he has 31 415 subs so I can ruin that :D
My left ear feels lonely
thought of getting another one?
this is actually really cute.
will buy when I get munies
I think that what Matt actually meant to say was “4 shapes of constant width D” which they’ve sold out of months ago and you missed it.
Seven years later...I would rather enjoy owning a set of these objet d’maths yet get an error when linking to your shoppe. Did Mould break the mold? Can you not manufacture mass maths quantities? Must you be so inconsistent with your shapes of constant width?
Wait who got a BSC Degree in Math in 1974?
No recomendaría los productos que vende esta página para nada. La atención al cliente que (no) tienen es absolutamente lamentable. Para un pedido que he realizado he tenido un montón de problemas y me parece patético que no se hayan dignado a responder un correo de los que he enviado. Por no decir que he tenido que pagar más por los gastos de envío que por el propio producto. Servicio nefasto.
I would not recommend the products this page sells at all. The customer service they (do not) have is absolutely pitiful. For an order I have placed I have had a lot of problems and I find it pathetic that they have not deigned to respond to one of the emails I have sent. Not to mention that I have had to pay more for shipping costs than for the product itself. Disastrous service.
"...4D shapes of constant width within a year or two"
That made me laugh since a 4D object is a 3D object traveling in time. (depending who you ask)
I'm easily amused.
Presumably he means 4 spacial dimensions. In which case, we can't really witness them first hand all at once, but we can create 3D shadows of the 4D shape from different angles, or various other 3D projections of the 4D shape over time to get the full effect.
It's all in his book, "Things to Make and do in the Fourth Dimension"
I'm not familiar enough with the 6 4D platonic solids, but if there is one like the tetrahedron where there is a shape opposite a vertex, then I think it should be possible.
I dunno what it is with Steve's eyes, but he should endeavour to always be clean-shaven, otherwise he just looks like he hasn't slept for days. I suppose he's also got the genes for a thick, fast-growing beard, just to make that harder. Maybe grow the beard then. I dunno what to do about the eyes, is it too many blood vessels? Have the lids lasered? You could just wear makeup, there's loads of eye-brightening makeup. Ask whoever does Donald Trump's. I'm not saying he's terrible to look at or anything, he's a decent looking bloke, he just looks so tired!
While I'm being tactlessly helpful, turned out Matt's got a perfectly nice shaped head under there, so losing his hair wasn't too bad. The two of them probably stink of testosterone. Women entering that room will become spontaneously 8 months pregnant.