bio  website  cs.smith.edu/~orourke 

location  Smith College, U.S.  
age  
visits  member for  4 years, 10 months 
seen  15 mins ago  
stats  profile views  17,205 
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

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How to pack 3D boxes into a bigger box?
@RaymondHemmecke: Thanks. 
1d

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How to pack 3D boxes into a bigger box?
@RaymondHemmecke: That is the assumption in both papers I cited. 
1d

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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 ninetydegree 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 $01$ matrices with determinant $1$
Typo. 
Mar 24 
awarded  Nice Question 
Mar 24 
revised 
Enumeration of $01$ matrices with determinant $1$
Added image. 
Mar 24 
comment 
Enumeration of $01$ 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. 