Number of facets intersecting a face of a non-simple polytope
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Let $P$ be a non-simple polytope and $E$ a face of codimension $k$ with $dim E geq 1$. Is it always true that $E$ is an intersection of $k$ facets of $P$?
When $P$ is simple, this is always true.
(If it is not true,) it would be grateful if anybody can give me a simplest example.
combinatorics polytopes
asked Aug 9 at 15:09
Jongbaek Song
61
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up vote
1
down vote
favorite
Let $P$ be a non-simple polytope and $E$ a face of codimension $k$ with $dim E geq 1$. Is it always true that $E$ is an intersection of $k$ facets of $P$?
When $P$ is simple, this is always true.
(If it is not true,) it would be grateful if anybody can give me a simplest example.
combinatorics polytopes
asked Aug 9 at 15:09
Jongbaek Song
61
add a comment |Â
up vote
1
down vote
favorite
up vote
1
down vote
favorite
Let $P$ be a non-simple polytope and $E$ a face of codimension $k$ with $dim E geq 1$. Is it always true that $E$ is an intersection of $k$ facets of $P$?
When $P$ is simple, this is always true.
(If it is not true,) it would be grateful if anybody can give me a simplest example.
combinatorics polytopes
asked Aug 9 at 15:09
Jongbaek Song
61
Let $P$ be a non-simple polytope and $E$ a face of codimension $k$ with $dim E geq 1$. Is it always true that $E$ is an intersection of $k$ facets of $P$?
When $P$ is simple, this is always true.
(If it is not true,) it would be grateful if anybody can give me a simplest example.
combinatorics polytopes
asked Aug 9 at 15:09
Jongbaek Song
61
asked Aug 9 at 15:09
Jongbaek Song
61
asked Aug 9 at 15:09
Jongbaek Song
61
asked Aug 9 at 15:09
Jongbaek Song
61
61
add a comment |Â
add a comment |Â
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