UG常用曲线方程式:
¯双外摆线
b=2.5
l=2.5
t=1
xt=3*b*cos(t*360)+l*cos(3*t*360)
yt=3*b*sin(t*360)+l*sin(3*t*360)
¯星形线
a=5
t=1
xt=a*(cos(360*t))^3
yt=a*(sin(360*t))^3
叶形线
a=10
t=1
xt=3*a*t/(1+(t^3))
yt=3*a*(t^2)/(1+(t^3))
¯螺纹线
t=1
xt=4*cos(t*(5*360))
yt=4*sin(t*(5*360))
zt=6*t
蛇形线
²t=1
xt=2*cos(t*360*3)*t
yt=2*sin(t*360*3)*t
zt=(sqrt(sqrt(sqrt(t))))^3*5
²t=1
theta=t*360*3
zt=sqrt(t)*7
²t=1
rho=360*sqrt(t)*2
theta=t*25
phi=360*t*4
¯双余弦线
t=1
xt=-(9.5*6.5)+t*(9.5*6.5*2)
yt=cos(t*360*6.5)*(6.35/2)-(6.35/2)
zt=cos(t*360*8)*5
¯对数线
t=1
xt=10*t
yt=log(10*t+0.0001)
抛物线
t=1
xt=(4*t)
yt=(3*t)+(5*t^2)
¯勾形线
t=1
xt=(5*(cos(t*360))^3)*t
yt=(5*(sin(t*360))^3)*t
¯次声波
t=1
xt=t*5
yt=cos(t*360*8)*t
正弦波
t=1
xt=5*t*t
yt=sin(t*8*360)*0.5
渐开线
pitch_diameter=10
pressure_angle=20
r=(pitch_diameter/2)*cos(pressure_angle)
t=1
xt=r*cos(90*t*t)+r*(90*t*t)*(pi/180)*sin(90*t*t)
yt=r*sin(90*t*t)-r*(90*t*t)*(pi/180)*cos(90*t*t)
普通外摆线
r=10
t=1
xt=t*(2*pi*r)-sin(t*360)*r
yt=r-cos(t*360)*r
¯小飞机
t=1
xt=cos(t*360)+cos(3*t*360)
yt=sin(t*360)+sin(5*t*360)
¯弯月
t=1
xt=cos(t*360)+cos(2*t*360)
yt=sin(t*360)*2+sin(t*360)*2
¯五角形线
t=1
xt=2+(10-6)*cos(360*4*t)+10*cos((10/6-1)*(360*4*t))
yt=2+(10-6)*sin(360*4*t)-6*sin((10/6-1)*(360*4*t))
¯t=1
xt=2+(10-6)*cos(360*4*t)+10*cos((10/6-1)*(360*4*t))
yt=2+(10-6)*sin(360*4*t)-10*sin((10/6-1)*(360*4*t))
¯t=1
xt=2+(10-2)*cos(360*4*t)+10*cos((10/6-1)*(360*4*t))
yt=2+(10-2)*sin(360*4*t)-10*sin((10/6-1)*(360*4*t))
¯t=1
xt=0.5+(10-6)*cos(360*5*t)+10*cos((6/10-1)*(360*5*t))
yt=0.5+(10-6)*sin(360*5*t)-10*sin((6/10-1)*(360*5*t))
热带鱼
a=5
t=1
xt=(a*(cos(t*360*3))^4)*t
yt=(a*(sin(t*360*3))^4)*t
双蝴蝶线
t=1
theta=t*360+90
r=cos(360*t*5)*3+0.5
zt=cos(360*t*3)*3
t=1
theta=t*360+18
r=cos(360*t*5)*0.75+3.5
zt=cos(t*360*5)*0.4
t=1
theta=t*360-54
r=cos(360*t*5)*0.5+2.5
zt=cos(t*360*5+90)*0.5
心电图
t=1
r=sin(t*360*2)+0.2
theta=10+t*(6*360)
zt=t*3
¯燕尾剪
t=1
xt=3*cos(t*360*4)
yt=3*sin(t*360*3)
zt=t
t=1
r=t*2
theta=10+t*(12*360)
zt=t*3
碟形线
t=1
r=10+10*sin(6*t*360)
zt=2*sin(6*360*t)
花篮
t=1
r=5
zt=(sin(3.5*(t*720)-90))+2
小兔兔
t=1
theta=t*360-90
r=cos(360*(t/(1+t^(6.5*t)))*6*t)*3.5+5
红十字
t=1
r=cos(360*t*4)*0.5+1
theta=t*360+90
心形线
t=1
r=10*(1
+cos(t*360))
t=1
theta=t*360*4
r=1+cos(t*360*5)
t=1
theta=t*360*5
r=8+5*sin(t*360*5*5)*t
太阳花
t=1
theta=-t*360+180
r=cos(360*t/(1+t^8)*7)*3+6
t=1
theta=t*360
r=cos(360*t*20)*0.5*t+1
t=1
theta=t*360*2
r=cos(360*t*30)*0.5*t+2*t
t=1
theta=t*360*5
r=cos(360*t*20)*0.5*t+1
手掌
t=1
theta=t*360+180
r=cos(360*t^3*6)*2+5
t=1
theta=t*360*4
r=(cos(360*t*16)*0.5*t+1)*t
天蚕丝
t=1
theta=t*3600
r=(cos(360*t*20)*0.5*t+1)*t
人民币
t=1
theta=-t*360+180
r=cos(360*(t/(1+t^6))*6)*3+5
t=1
rho=360*t*10
theta=360*t*20
phi=360*t*5
球面螺旋线
t=1
rho=4
theta=t*180
phi=t*360*12
蝴蝶线
t=1
rho=8*t
theta=360*t*4
phi=360*t*8
t=1
rho=3*t
theta=360*t*5
phi=360*t*2.5
t=1
rho=8*t
theta=360*t*4
phi=360*t*4
