Sections of simplices
We show that for ⌊d/2⌋≤k≤d, the relative interior of every k-face of a d-simplex Δd can be intersected by a 2(d−k)-dimensional affine flat. Bezdek, Bisztriczky, and Connelly's results [2] show that the condition k≥⌊d/2⌋ above cannot be dropped and hence raise the question of determining, for al...
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| Format: | Article |
| Language: | English |
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Hindawi Limited
1999-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171299224015 |