Higher dimensional roses.
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
asked Nov 19 at 23:22
Mohammad Riazi-Kermani
40.7k42058
add a comment |
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
asked Nov 19 at 23:22
Mohammad Riazi-Kermani
40.7k42058
Does Gabriel's Horn en.wikipedia.org/wiki/Gabriel%27s_Horn, work?
– DJohnM
Nov 19 at 23:46
See math.stackexchange.com/questions/1209858/… and grad.hr/sgorjanc/Links/roses.pdf
– cgiovanardi
Dec 11 at 12:56
add a comment |
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
asked Nov 19 at 23:22
Mohammad Riazi-Kermani
40.7k42058
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 Nov 19 at 23:22
Mohammad Riazi-Kermani
40.7k42058
asked Nov 19 at 23:22
Mohammad Riazi-Kermani
40.7k42058
asked Nov 19 at 23:22
Mohammad Riazi-Kermani
40.7k42058
asked Nov 19 at 23:22
Mohammad Riazi-Kermani
40.7k42058
asked Nov 19 at 23:22
Mohammad Riazi-Kermani
40.7k42058
40.7k42058
Does Gabriel's Horn en.wikipedia.org/wiki/Gabriel%27s_Horn, work?
– DJohnM
Nov 19 at 23:46
See math.stackexchange.com/questions/1209858/… and grad.hr/sgorjanc/Links/roses.pdf
– cgiovanardi
Dec 11 at 12:56
add a comment |
Does Gabriel's Horn en.wikipedia.org/wiki/Gabriel%27s_Horn, work?
– DJohnM
Nov 19 at 23:46
See math.stackexchange.com/questions/1209858/… and grad.hr/sgorjanc/Links/roses.pdf
– cgiovanardi
Dec 11 at 12:56
Does Gabriel's Horn en.wikipedia.org/wiki/Gabriel%27s_Horn, work?
– DJohnM
Nov 19 at 23:46
Does Gabriel's Horn en.wikipedia.org/wiki/Gabriel%27s_Horn, work?
– DJohnM
Nov 19 at 23:46
See math.stackexchange.com/questions/1209858/… and grad.hr/sgorjanc/Links/roses.pdf
– cgiovanardi
Dec 11 at 12:56
See math.stackexchange.com/questions/1209858/… and grad.hr/sgorjanc/Links/roses.pdf
– cgiovanardi
Dec 11 at 12:56
add a comment |
1 Answer
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Does this "rose" suffice in three dimensions?
answered Nov 19 at 23:45
David G. Stork
9,67621232
Good for three dimensions
– Mohammad Riazi-Kermani
Nov 19 at 23:52
add a comment |
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1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
Does this "rose" suffice in three dimensions?
answered Nov 19 at 23:45
David G. Stork
9,67621232
Good for three dimensions
– Mohammad Riazi-Kermani
Nov 19 at 23:52
add a comment |
Does this "rose" suffice in three dimensions?
answered Nov 19 at 23:45
David G. Stork
9,67621232
Good for three dimensions
– Mohammad Riazi-Kermani
Nov 19 at 23:52
add a comment |
Does this "rose" suffice in three dimensions?
answered Nov 19 at 23:45
David G. Stork
9,67621232
Does this "rose" suffice in three dimensions?
answered Nov 19 at 23:45
David G. Stork
9,67621232
answered Nov 19 at 23:45
David G. Stork
9,67621232
answered Nov 19 at 23:45
David G. Stork
9,67621232
answered Nov 19 at 23:45
David G. Stork
9,67621232
9,67621232
Good for three dimensions
– Mohammad Riazi-Kermani
Nov 19 at 23:52
add a comment |
Good for three dimensions
– Mohammad Riazi-Kermani
Nov 19 at 23:52
Good for three dimensions
– Mohammad Riazi-Kermani
Nov 19 at 23:52
Good for three dimensions
– Mohammad Riazi-Kermani
Nov 19 at 23:52
add a comment |
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Does Gabriel's Horn en.wikipedia.org/wiki/Gabriel%27s_Horn, work?
– DJohnM
Nov 19 at 23:46
See math.stackexchange.com/questions/1209858/… and grad.hr/sgorjanc/Links/roses.pdf
– cgiovanardi
Dec 11 at 12:56