Open main menu
Home
Random
Recent changes
Special pages
Community portal
Preferences
About Wikipedia
Disclaimers
Incubator escapee wiki
Search
User menu
Talk
Dark mode
Contributions
Create account
Log in
Editing
Packing problems
(section)
Warning:
You are not logged in. Your IP address will be publicly visible if you make any edits. If you
log in
or
create an account
, your edits will be attributed to your username, along with other benefits.
Anti-spam check. Do
not
fill this in!
===Hexagonal packing of circles=== [[File:Circle packing (hexagonal).svg|thumb|right|The hexagonal packing of circles on a 2-dimensional Euclidean plane.]] These problems are mathematically distinct from the ideas in the [[circle packing theorem]]. The related [[circle packing]] problem deals with packing [[circle]]s, possibly of different sizes, on a surface, for instance the [[plane (geometry)|plane]] or a [[sphere]]. The [[N-sphere|counterparts of a circle]] in other dimensions can never be packed with complete efficiency in [[dimension]]s larger than one (in a one-dimensional universe, the circle analogue is just two points). That is, there will always be unused space if people are only packing circles. The most efficient way of packing circles, [[Circle packing|hexagonal packing]], produces approximately 91% efficiency.<ref>{{Cite web | url=http://mathworld.wolfram.com/CirclePacking.html |title = Circle Packing}}</ref>
Edit summary
(Briefly describe your changes)
By publishing changes, you agree to the
Terms of Use
, and you irrevocably agree to release your contribution under the
CC BY-SA 4.0 License
and the
GFDL
. You agree that a hyperlink or URL is sufficient attribution under the Creative Commons license.
Cancel
Editing help
(opens in new window)