0
CrazyIvan

M&M's and Science...

Recommended Posts

Quote

And thus...the age old question...what's a better value....a gallon of plain or a gallon of peanut M&M's...has been answered.



I don't think they shook long enough. Spheres can occupy 74.05% of a volume, and do if given a chance.
A natural experiment on this topic takes place evertime an opal (gemstone) is created. Spheres of precipitated SiO2 deposit on a stream bed randomly, and pack down over eons of time, being "shaken" by the currents in the stream. Eventually they form an arrangement that occupies 74% of the volume available, wheras the M&Ms only filled 68%.


www.photonics.com/spectra/research/XQ/ASP/preaid.30/QX/read.htm

"Adopting techniques that are analogous to self-assembly in natural opals, Geoffrey A. Ozin and his colleagues, Hernan Miguez and San Ming Wang at the university's Materials Chemistry Research Group, condense silica microspheres from colloidal suspensions into crystalline opal structures.
Naturally occurring opal forms when silica spheres precipitate from solutions or colloidal suspensions into seams or crevices in surrounding rock. Most opal is amorphous, but the silica spheres in precious opal organize into a face-centered-cubic structure well-suited for photonic bandgap crystals because of the index variation between the silica spheres and the interstitial material."

Click here to see a derivation of the 74.05% value for spheres:
www.tiem.utk.edu/~gross/bioed/webmodules/spherepacking.htm


So there!
...

The only sure way to survive a canopy collision is not to have one.

Share this post


Link to post
Share on other sites
Quote

Hmmm...but that's referring to packing in a cube. The original article they were put into a barrel/tube, wouldn' t that make a difference?



Nope. You can consider the tube (if large enough) to be made up of a lot of small cubic shaped units.

Besides, if container shape mattered, it wouldn't be a physics problem (remember "assume the horse is a sphere").;)
...

The only sure way to survive a canopy collision is not to have one.

Share this post


Link to post
Share on other sites
I am not sure how much of a "breakthrough" this is.

Think about it... Like said above, a perfect sphere would take up 74%. But if you stretched it out it would start to take up more and more space with less "surface"

pretend these are spheres
()()()()()()()()()() every where a sphere touches you lose alot of "packing"

but if they were say
(_)(_)(_)(_)(_)(_)(_)(_) each sphere takes up more volume and has less surface. so you could "fill" more with these than you could above.

or like turtlespeed said, just mash 'em to bits and you'll get alot better packing.B|

Share this post


Link to post
Share on other sites
Quote

pretend these are spheres
()()()()()()()()()() every where a sphere touches you lose alot of "packing"

but if they were say
(_)(_)(_)(_)(_)(_)(_)(_) each sphere takes up more volume and has less surface. so you could "fill" more with these than you could above.




Yes...but if you added 1 M&M to those spheres you'll get BOOBIES!!! :D

(.)(.) (.)(.) (.)(.) (.)(.)
__________________________________________
Blue Skies and May the Force be with you.

Share this post


Link to post
Share on other sites
TRhen ya don't wanna smack em around and crush em, just knead tyhem and "Smak" em like in a "Peanuts" kinda "Smak"
I'm not usually into the whole 3-way thing, but you got me a little excited with that. - Skymama
BTR #1 / OTB^5 Official #2 / Hellfish #408 / VSCR #108/Tortuga/Orfun

Share this post


Link to post
Share on other sites

Join the conversation

You can post now and register later. If you have an account, sign in now to post with your account.
Note: Your post will require moderator approval before it will be visible.

Guest
Reply to this topic...

×   Pasted as rich text.   Paste as plain text instead

  Only 75 emoji are allowed.

×   Your link has been automatically embedded.   Display as a link instead

×   Your previous content has been restored.   Clear editor

×   You cannot paste images directly. Upload or insert images from URL.

0