From just the headline, they're describing a cat.
A new pyramid-like shape always lands the same side up
131–140 of 175 posts
Re: A new pyramid-like shape always lands the same side up
#132Earlier quoted context omitted.
It’s infinitely unlikely to do so, a set of measure zero.
Just as with the gömböc. Though the latter balances on only one unstable axis while a D6 die does so on 20 (12 edges and 8 vertices).
Vertices aren't axes! They have the wrong dimensionality.
Re: A new pyramid-like shape always lands the same side up
#133The paper says: "What did appear as a challenge, though, was a physical realization of such an object. The second author built a model (now lost) from lead foil and finely-split bamboo, which appeared to tumble sequentially from one face, through two others, to its final resting position." I have that model ... Bob Dawson and I built it together while we were at Cambridge. Probably I should contact him. The paper is…
Would be awesome to see some pictures!
Re: A new pyramid-like shape always lands the same side up
#134The paper says: "What did appear as a challenge, though, was a physical realization of such an object. The second author built a model (now lost) from lead foil and finely-split bamboo, which appeared to tumble sequentially from one face, through two others, to its final resting position." I have that model ... Bob Dawson and I built it together while we were at Cambridge. Probably I should contact him. The paper is…
Would be awesome to see some pictures!
I've knocked up a quick page:
https://www.solipsys.co.uk/ZimExpt/MonostableTetrahedron.htm...
Re: A new pyramid-like shape always lands the same side up
#135Worst D-4 ever! But more seriously, I wonder how closely you could get to an non-uniform mass polyhedra which had 'knife edge' type balance. Which is to say; 1) Construct a polyhedra with uneven weight distribution which is stable on exactly two faces. 2) Make one of those faces much more stable than the other, so if it is on the limited stability face and disturbed, it will switch to the high stability face. A struc…
[deleted]
Re: A new pyramid-like shape always lands the same side up
#136Earlier quoted context omitted.
Would be awesome to see some pictures!
I've knocked up a quick page: https://www.solipsys.co.uk/ZimExpt/MonostableTetrahedron.htm...
I was expecting to see the photos, but the jpg are linked there instead of visible. IIRC you were using a self-made CMS for your blog, with more support for math formulas. Does it not allow images?
Re: A new pyramid-like shape always lands the same side up
#137Earlier quoted context omitted.
I've knocked up a quick page: https://www.solipsys.co.uk/ZimExpt/MonostableTetrahedron.htm...
I was expecting to see the photos, but the jpg are linked there instead of visible. IIRC you were using a self-made CMS for your blog, with more support for math formulas. Does it not allow images?
Everyone complains about how crap my website is, so in this case I've just exported a page from my internal zim-wiki. Yes, it can have photos, but it doesn't give any control over sizing or positioning, so I'm providing links for people to click through to.
It's the middle of my working day and I'm in the middle of meetings, so I don't have time to do anything more right now.
Re: A new pyramid-like shape always lands the same side up
#138Re: A new pyramid-like shape always lands the same side up
#139Earlier quoted context omitted.
I was expecting to see the photos, but the jpg are linked there instead of visible. IIRC you were using a self-made CMS for your blog, with more support for math formulas. Does it not allow images?
Everyone complains about how crap my website is, so in this case I've just exported a page from my internal zim-wiki. Yes, it can have photos, but it doesn't give any control over sizing or positioning, so I'm providing links for people to click through to. It's the middle of my working day and I'm in the middle of meetings, so I don't have time to do anything more right now.
Thanks for posting! I'd love a YouTube video too if you get the time later
Re: A new pyramid-like shape always lands the same side up
#140Somewhat disappointing that it won’t work with uniform density. More surprising it needed such massive variation in density and couldn’t just be 3d printed from one material with holes in.
Did they actual prove this?
They probably used AI to convert a cat into a tetrahedron, then virtually dropped it millions of times to arrive at this feet-always conclusion.