Higher dimensional roses.
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We know that the $2n$ petal rose $$r=sin ntheta$$ occupies half the area of the unit circle regardless of the number of petals while the arc-length grows without bound.
Are there such objects in higher dimensions?
geometry
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up vote
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We know that the $2n$ petal rose $$r=sin ntheta$$ occupies half the area of the unit circle regardless of the number of petals while the arc-length grows without bound.
Are there such objects in higher dimensions?
geometry
Does Gabriel's Horn en.wikipedia.org/wiki/Gabriel%27s_Horn, work?
– DJohnM
2 days ago
add a comment |
up vote
0
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favorite
up vote
0
down vote
favorite
We know that the $2n$ petal rose $$r=sin ntheta$$ occupies half the area of the unit circle regardless of the number of petals while the arc-length grows without bound.
Are there such objects in higher dimensions?
geometry
We know that the $2n$ petal rose $$r=sin ntheta$$ occupies half the area of the unit circle regardless of the number of petals while the arc-length grows without bound.
Are there such objects in higher dimensions?
geometry
geometry
asked 2 days ago
Mohammad Riazi-Kermani
40.2k41958
40.2k41958
Does Gabriel's Horn en.wikipedia.org/wiki/Gabriel%27s_Horn, work?
– DJohnM
2 days ago
add a comment |
Does Gabriel's Horn en.wikipedia.org/wiki/Gabriel%27s_Horn, work?
– DJohnM
2 days ago
Does Gabriel's Horn en.wikipedia.org/wiki/Gabriel%27s_Horn, work?
– DJohnM
2 days ago
Does Gabriel's Horn en.wikipedia.org/wiki/Gabriel%27s_Horn, work?
– DJohnM
2 days ago
add a comment |
1 Answer
1
active
oldest
votes
up vote
2
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accepted
Does this "rose" suffice in three dimensions?
Good for three dimensions
– Mohammad Riazi-Kermani
2 days ago
add a comment |
1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
up vote
2
down vote
accepted
Does this "rose" suffice in three dimensions?
Good for three dimensions
– Mohammad Riazi-Kermani
2 days ago
add a comment |
up vote
2
down vote
accepted
Does this "rose" suffice in three dimensions?
Good for three dimensions
– Mohammad Riazi-Kermani
2 days ago
add a comment |
up vote
2
down vote
accepted
up vote
2
down vote
accepted
Does this "rose" suffice in three dimensions?
Does this "rose" suffice in three dimensions?
answered 2 days ago
David G. Stork
8,99421232
8,99421232
Good for three dimensions
– Mohammad Riazi-Kermani
2 days ago
add a comment |
Good for three dimensions
– Mohammad Riazi-Kermani
2 days ago
Good for three dimensions
– Mohammad Riazi-Kermani
2 days ago
Good for three dimensions
– Mohammad Riazi-Kermani
2 days ago
add a comment |
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Does Gabriel's Horn en.wikipedia.org/wiki/Gabriel%27s_Horn, work?
– DJohnM
2 days ago