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Kevin Caron
Joined: 13 Oct 2013
Posts: 7
Location: United States
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 Posted: Sun Sep 21, 2014 9:31 pm Post subject: Need help with the math for a 5 sided torus |
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So I know that this will give me a "3" sided torus but how can I change it to get a "5" sided one?
sin(u)*(7+cos(u/3 -2*v)+2*cos(u/3+v))
cos(u)*(7+cos(u/3 - 2*v)+2*cos(u/3+v))
sin(u/3-2*v)+2*sin(u/3+v)
-pi, pi
-pi, pi
Have tried changing the 3s to 5 but that won't work...
Any ideas?!?!?!?
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From the desk of Kevin Caron, where the answers are stranger then the questions! |
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Furan
Joined: 05 Oct 2010
Posts: 64
Location: Prague, Czech Republic
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| Posted: Mon Sep 22, 2014 10:36 pm Post subject: |
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The meridian is a hypocycloid:
http://en.wikipedia.org/wiki/Hypocycloid
| Code: |
x = sin(u)*rho
y = cos(u)*rho
z = h
rho = R3 + r*cos(u/m+(r-R)/r*v)+(R-r)*cos(u/m+v)
h = r*sin(u/m+(r-R)/r*v)+(R-r)*sin(u/m+v)
Try R3 = 3; R = 1; r = 0.2; m = R/r = 5 = number of corners
u = [-pi..pi]; v = [-pi..pi]
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Kevin Caron
Joined: 13 Oct 2013
Posts: 7
Location: United States
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| Posted: Mon Sep 22, 2014 10:53 pm Post subject: |
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Thank you so much!!
Now if I can just figure out where each line goes!
Not very good with this program but I am having fun learning...
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From the desk of Kevin Caron, where the answers are stranger then the questions! |
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Kevin Caron
Joined: 13 Oct 2013
Posts: 7
Location: United States
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| Posted: Mon Sep 22, 2014 11:51 pm Post subject: |
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Kind of what I figured...
I am too dumb to put these in the program and make it work..
Keep getting a "syntax error".
Can you reorder it so it is like the other one?
Or can you give me a little direction so I know where the numbers are supposed to go?
Please!
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nextstep
Site Admin
Joined: 06 Jan 2007
Posts: 539
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| Posted: Tue Sep 23, 2014 12:10 am Post subject: |
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Hi,
Here you go:
Five sides:
| Quote: | {
"Param3D": {
"Name": [
"HypocycloidFiveSides"
],
"Component": [
"HypocycloidFiveSides "
],
"Fx": [
"sin(u)* (3 + 0.2*cos(u/5+(0.2-1)/0.2*v)+(1-0.2)*cos(u/5+v))"
],
"Fy": [
"cos(u)* (3 + 0.2*cos(u/5+(0.2-1)/0.2*v)+(1-0.2)*cos(u/5+v)) "
],
"Fz": [
"0.2*sin(u/5+(0.2-1)/0.2*v)+(1-0.2)*sin(u/5+v)"
],
"Umax": [
"pi"
],
"Umin": [
"-pi"
],
"Vmax": [
"pi"
],
"Vmin": [
"-pi"
]
}
} |
Ten sides:
| Quote: | {
"Param3D": {
"Name": [
"HypocycloidTenSides "
],
"Component": [
"HypocycloidTenSides "
],
"Fx": [
"sin(u)*(3+0.1*cos(u/10+(0.1-1)/0.1*v)+(1-0.1)*cos(u/10+v))"
],
"Fy": [
"cos(u)*(3+0.1*cos(u/10+(0.1-1)/0.1*v)+(1-0.1)*cos(u/10+v))"
],
"Fz": [
"0.1*sin(u/10+(0.1-1)/0.1*v)+(1-0.1)*sin(u/10+v)"
],
"Umax": [
"pi"
],
"Umin": [
"-pi"
],
"Vmax": [
"pi"
],
"Vmin": [
"-pi"
]
}
} |
NB:
1) Of course, Furan is the one to compliment for this work 
2) I'm not sure wich version you're using so I made a script without any constantes on function definition. This way I'm sure the script is going to work.
_________________
Cheers,
Abderrahman |
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Kevin Caron
Joined: 13 Oct 2013
Posts: 7
Location: United States
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| Posted: Tue Sep 23, 2014 4:11 am Post subject: |
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There is some much to learn here!!
Thank you for taking the time to fix this..
I will try to input this and get it to work..
I am a sculptor and have been asked to make a proposal for a 5 "sided" torus.
Need this for the paper work so I can get this job!!!
Making it in steel is easy, making is on paper is VERY hard!!!!!
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nextstep
Site Admin
Joined: 06 Jan 2007
Posts: 539
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| Posted: Tue Sep 23, 2014 11:08 pm Post subject: |
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You're welcome!
Hope it's going to work for you.
Also we will be pleased to see the final result
_________________
Cheers,
Abderrahman |
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