[math-fun] Fwd: The moving sofa problem
More fun than moving it upstairs. Brent -------- Forwarded Message -------- https://www.math.ucdavis.edu/~romik/movingsofa/ <https://www.math.ucdavis.edu/%7Eromik/movingsofa/> Christine
Has anyone tackled this in 3-space? WFL On 1/4/17, Brent Meeker <meekerdb@verizon.net> wrote:
More fun than moving it upstairs.
Brent
-------- Forwarded Message --------
https://www.math.ucdavis.edu/~romik/movingsofa/ <https://www.math.ucdavis.edu/%7Eromik/movingsofa/>
Christine
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Two straight tunnels with (say) unit square (circular?) cross-section meet at right-angles. Maximise the volume of a rigid body negotiating the corner, or bound the maximum. Horrible! WFL On 1/5/17, Dan Asimov <dasimov@earthlink.net> wrote:
How would you define the 3D problem?
—Dan
On Jan 4, 2017, at 4:47 PM, Fred Lunnon <fred.lunnon@gmail.com> wrote:
Has anyone tackled this in 3-space? WFL
On 1/4/17, Brent Meeker <meekerdb@verizon.net> wrote:
More fun than moving it upstairs.
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The candidate to beat is the Gerver sofa, extruded by a unit segment. My intuition is that one can't do better (unless the Gerver sofa isn't optimal). On Thu, Jan 5, 2017 at 8:07 AM, Fred Lunnon <fred.lunnon@gmail.com> wrote:
Two straight tunnels with (say) unit square (circular?) cross-section meet at right-angles. Maximise the volume of a rigid body negotiating the corner, or bound the maximum. Horrible! WFL
On 1/5/17, Dan Asimov <dasimov@earthlink.net> wrote:
How would you define the 3D problem?
—Dan
On Jan 4, 2017, at 4:47 PM, Fred Lunnon <fred.lunnon@gmail.com> wrote:
Has anyone tackled this in 3-space? WFL
On 1/4/17, Brent Meeker <meekerdb@verizon.net> wrote:
More fun than moving it upstairs.
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I tripped over my own fingers there. What I meant to say is that whatever the optimal solution is in 2 dimensions, can be crossed with a unit segment to get a very convincing 3-dimensional candidate. It isn't obvious to me that 3 dimensions buys you any new tricks. On Thu, Jan 5, 2017 at 9:44 AM, Allan Wechsler <acwacw@gmail.com> wrote:
The candidate to beat is the Gerver sofa, extruded by a unit segment. My intuition is that one can't do better (unless the Gerver sofa isn't optimal).
On Thu, Jan 5, 2017 at 8:07 AM, Fred Lunnon <fred.lunnon@gmail.com> wrote:
Two straight tunnels with (say) unit square (circular?) cross-section meet at right-angles. Maximise the volume of a rigid body negotiating the corner, or bound the maximum. Horrible! WFL
On 1/5/17, Dan Asimov <dasimov@earthlink.net> wrote:
How would you define the 3D problem?
—Dan
On Jan 4, 2017, at 4:47 PM, Fred Lunnon <fred.lunnon@gmail.com> wrote:
Has anyone tackled this in 3-space? WFL
On 1/4/17, Brent Meeker <meekerdb@verizon.net> wrote:
More fun than moving it upstairs.
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participants (4)
-
Allan Wechsler -
Brent Meeker -
Dan Asimov -
Fred Lunnon