52,889 reputation
6102412
bio website cs.smith.edu/~orourke
location Smith College, U.S.
age
visits member for 4 years, 10 months
seen 15 mins ago

Professor of Computer Science; Professor of Mathematics; Dean.


3h
revised Thales' semicircle theorem in higher dimensions
Added requested series of images.
3h
comment Thales' semicircle theorem in higher dimensions
@TheMaskedAvenger: I added a "series that shows the projection onto the steradian sphere as the vertex goes from 90 degrees down to" $5^\circ$.
3h
revised Thales' semicircle theorem in higher dimensions
Added requested series of images.
18h
asked Thales' semicircle theorem in higher dimensions
1d
comment Angle subtended by the shortest segment that bisects the area of a convex polygon
You might see if this paper helps: "Chords halving the area of a convex set." A. Grune, R. Klein, C. Miori and S. Segura Gomis. (Citeseer link.) They do not address your question directly, but perhaps their proof methods can be applied.
1d
comment Solid angles of a tetrahedron
(@DouglasZare: Your image links have rotted.)
1d
comment How to pack 3D boxes into a bigger box?
@RaymondHemmecke: Thanks.
1d
comment How to pack 3D boxes into a bigger box?
@RaymondHemmecke: That is the assumption in both papers I cited.
1d
comment How to pack 3D boxes into a bigger box?
@SteveHuntsman: Yes, both algorithms only pack "orthogonally," but permitting all $90^\circ$ rotations.
1d
comment How to pack 3D boxes into a bigger box?
@ZackWolske: In the paper I cited below, they consider all $90^\circ$ rotations: "We consider orthogonal packings where ninety-degree rotations are allowed."
2d
revised How to pack 3D boxes into a bigger box?
Added image for 2nd paper.
2d
answered How to pack 3D boxes into a bigger box?
2d
revised Computation of extreme rays of rational polyhedral cones - Hemmecke's project and lift algorithm
added 214 characters in body
Mar
25
awarded  Nice Answer
Mar
24
revised Enumeration of $0-1$ matrices with determinant $1$
Typo.
Mar
24
awarded  Nice Question
Mar
24
revised Enumeration of $0-1$ matrices with determinant $1$
Added image.
Mar
24
comment Enumeration of $0-1$ matrices with determinant $1$
ADV = ?$\mbox{}$
Mar
22
answered algorithm of polytope
Mar
22
comment Homeomorphism historically: When did it reach its modern formulation?
@user170039: A moderator at HSM told me not to crosspost, so I deleted it.