weegy
Answer
Search
More
Help
Account
Feed
Signup
Log In
Question and answer
What is carpenter's theorem?
Log in for more information.
Question
Asked 6/19/2012 9:16:15 AM
Updated 289 days ago|9/29/2024 1:47:45 PM
1 Answer/Comment
This conversation has been flagged as incorrect.
f
Get an answer
Search for an answer or ask Weegy.
What is carpenter's theorem?
Original conversation
User:
What is carpenter's theorem?
Weegy:
In 2000, we solved the following three problems positively: Convexifying polygons: Given a simple polygon in the plane (whose edges are considered rigid bars and whose vertices are considered hinges), [ is there a continuous motion of the polygon that preserves the lengths of the edges and never causes edges to cross, and results in the polygon being convex? Carpenter's rule conjecture: Given an open polygonal chain (also called a polygonal path or polygonal arc) in the plane, is there a continuous motion with the same properties that results in the arc becoming straight? A generalization: Given a collection of polygonal arcs and simple polygons in the plane, none of which intersect each other, such that no polygon contains another arc or polygon, there is a motion that preserves all of the edge lengths and never crosses any edges, and results in the arcs becoming straight and the polygons being convex. Furthermore: If desired, an arc or polygon can be contained inside another polygon, but this arc or polygon cannot be guaranteed to be straightened or convexified (as this is not always possible). The motion is expansive: the distance between every pair of vertices only increases. The motion is piecewise-differentiable. The motion preserves any symmetries present in the initial configuration. The configuration space of a polygonal arc or simple polygon, modulo isometries, is contractible. The proof ends up being quite simple with the right ideas (in particular the notion of increasing pairwise distances) and tools (in particular the theory of rigidity) in hand. ]
Expert answered|
mrspainter22
|Points 130|
Log in for more information.
Question
Asked 6/19/2012 9:16:15 AM
Updated 289 days ago|9/29/2024 1:47:45 PM
1 Answer/Comment
This conversation has been flagged as incorrect.
New answers
Rating
3
Cliff:
Carpenter's theorem states that if a triangle has a given perimeter, the triangle with the largest area is an equilateral triangle.
Log in for more information.
Added 289 days ago|9/29/2024 1:47:44 PM
This answer has been confirmed as correct and helpful.
Comments
There are no comments.
Add an answer or comment
Log in
or
sign up
first.
Questions asked by the same visitor
I am a weegy expert. How do i know which answer of mine got a negative rating?
Weegy:
You can review your questions answered and see if it has a negative rating.
(More)
Question
Expert Answered
Asked 6/21/2012 10:43:08 AM
0 Answers/Comments
See all questions asked by the same visitor
40,008,560
questions answered
Sh
are your journ
ey.
W I N D O W P A N E
FROM THE CREATORS OF
weegy
WINDOWPANE is the live-streaming app for sharing your life as it happens, without filters, editing, or anything fake.
Because you're already amazing.
Connect with others, with spontaneous photos and videos, and random live-streaming. Post thoughts, events, experiences, and milestones, as you travel along the path that is uniquely yours.
Share your world.
Popular Conversations
What is the typical presentation of Meniere's disease? A) Tinnitus, ...
7/10/2025 12:46:15 PM| 4 Answers
The risk-free rate is best represented by the yield on: a) Corporate ...
7/11/2025 2:29:51 PM| 4 Answers
Change each fraction to a percent. 6/100
Weegy: 75% = 3/4 User: 3/8 Weegy: 3 * 8 = 24 User: Change each fraction to a percent. 3/8 Weegy: 75% = 3/4 ...
7/12/2025 3:31:41 AM| 4 Answers
a sentence is a fragment or incomplete sentence if it lacks a
Weegy: A sentence is a fragment or incomplete sentence if it lacks a subject, a verb, or both. User: Which ...
7/13/2025 6:49:22 PM| 4 Answers
Change each fraction to a percent
Weegy: 75% = 3/4 User: 6/100 change each fraction to a percent Weegy: 75% = 3/4 User: 3/8 Weegy: 3 * 8 = 24 ...
7/14/2025 3:36:09 AM| 4 Answers
Which of the following best explains "market capitalization"? A) The ...
7/8/2025 10:21:10 AM| 3 Answers
Which of the following is an example of a financial derivative? A) ...
7/8/2025 10:22:08 AM| 3 Answers
The "spread" in bond markets generally refers to: A) The difference ...
7/8/2025 10:22:28 AM| 3 Answers
The "liquidity preference theory" suggests that: A) Investors prefer ...
7/8/2025 10:22:35 AM| 3 Answers
Which organization accredits nursing education programs in the United ...
7/8/2025 10:43:44 AM| 3 Answers
The concept of 'scope of practice' defines: A) The legal boundaries ...
7/8/2025 11:01:41 AM| 3 Answers
Which element is essential for effective communication in nursing? A) ...
7/8/2025 11:02:39 AM| 3 Answers
S
hare your windo
w.
W I N D O W P A N E
FROM THE CREATORS OF
weegy
WINDOWPANE is the live-streaming app for sharing your life as it happens, without filters, editing, or anything fake.
Because you're already amazing.
Connect with others, with spontaneous photos and videos, and random live-streaming. Post thoughts, events, experiences, and milestones, as you travel along the path that is uniquely yours.
Share your world.
Top Ranked Experts *
Order
Points
Ratings
Comments
Invitations
zabloninzagi
S
L
P
Points
215
[Total
1524
]
Ratings
0
Comments
215
Invitations
0
Offline
mysticeyes17
S
L
P
Points
125
[Total
1133
]
Ratings
1
Comments
115
Invitations
0
Offline
Genzee254
S
Points
23
[Total
23
]
Ratings
0
Comments
23
Invitations
0
Offline
Ctleo
S
L
P
1
Points
20
[Total
219
]
Ratings
2
Comments
0
Invitations
0
Online
Flora1988
S
L
1
1
1
1
1
L
1
Points
14
[Total
5211
]
Ratings
0
Comments
14
Invitations
0
Offline
caprice50
S
Points
12
[Total
12
]
Ratings
0
Comments
12
Invitations
0
Offline
jimbo96
S
Points
10
[Total
10
]
Ratings
1
Comments
0
Invitations
0
Offline
Bennu
S
Points
7
[Total
17
]
Ratings
0
Comments
7
Invitations
0
Offline
Pradeep1997
S
Points
5
[Total
5
]
Ratings
0
Comments
5
Invitations
0
Offline
thierry94
S
R
Points
5
[Total
25
]
Ratings
0
Comments
5
Invitations
0
Offline
Find»
* Excludes moderators and previous
winners
(
Include
)
Home
|
Contact
|
Blog
|
About
|
Terms
|
Privacy
| ©
Purple Inc.
