Optimus Prime

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visits member for 2 years, 6 months
seen Oct 11 '11 at 17:06

Nov
7
awarded  Teacher
Oct
10
revised CH for tilings of the plane
deleted 419 characters in body
Oct
9
revised CH for tilings of the plane
added 481 characters in body
Oct
9
comment CH for tilings of the plane
I know there is sets of polyominoes say, for which the number of tilings are of the same cardinality as the integers, and there are sets of polyominoes which admit uncountable number of tilings. Is there a way to prove that there is no set of tiles that tiles the plane such that the number of tilings are not in bijection with the integers or the reals?
Oct
9
comment CH for tilings of the plane
"There is no set whose cardinality is strictly between that of the integers and that of the real numbers." - Georg Cantor. Does it hold for cardinalities of tilings of the plane ?
Oct
9
asked CH for tilings of the plane
Oct
9
revised Doubly infinite numbers
added 2 characters in body
Oct
9
asked Doubly infinite numbers
Oct
9
accepted Primes of the form $p_{i_1}p_{i_2}\cdots p_{i_n}+2k$
Oct
8
revised Tile $\mathbb{R}^n$ with Primitive Cuboids
added 62 characters in body
Oct
8
revised Tile $\mathbb{R}^n$ with Primitive Cuboids
added 31 characters in body
Oct
8
revised Tile $\mathbb{R}^n$ with Primitive Cuboids
added 53 characters in body
Oct
8
answered Tile $\mathbb{R}^n$ with Primitive Cuboids
Oct
8
revised Tile $\mathbb{R}^n$ with Primitive Cuboids
deleted 8 characters in body
Oct
8
comment Tile $\mathbb{R}^n$ with Primitive Cuboids
We cannot flag either
Oct
8
accepted Twin primes of form $2^n+3$ and $2^n+5$
Oct
8
awarded  Nice Question
Oct
7
revised Tile $\mathbb{R}^n$ with Primitive Cuboids
deleted 440 characters in body
Oct
7
awarded  Scholar
Oct
7
revised Tile $\mathbb{R}^n$ with Primitive Cuboids
added 7 characters in body