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大家看看,线面的规律曲线能不能作出来!当做顾虑曲线练习吧!
: u9 f; U6 j1 Y4 F; M( q6 z2 A. v K! {- {2 I0 h8 R8 m w
¯双外摆线
/ r8 K* y7 `% w& R( ob=2.5, r) \7 S# c5 X3 I. A0 w* }
l=2.5
2 R& _$ E6 V W3 }/ \t=1
|8 D5 M/ \0 y6 o; V3 [xt=3*b*cos(t*360)+l*cos(3*t*360), ]$ d' M, r% `5 z. Y
yt=3*b*sin(t*360)+l*sin(3*t*360)3 O/ I$ t# [) e, U8 P
4 ]" P; I+ b2 j2 S6 v" [, @! q¯星形线8 l/ x. x/ o& A6 k
a=5# S* `# x( c2 Y: v1 L( _* |! @
t=1
4 y7 M# H, r5 {8 u Axt=a*(cos(360*t))^30 N: u1 `6 }2 R" c
yt=a*(sin(360*t))^3
6 G( m7 [1 t0 O4 e: f ' ~5 |- X; |3 t8 ]/ X
叶形线
3 p( ~2 I B% z& qa=10
: k+ Y/ i4 N5 { ht=13 Y# p. ?% n$ C" d
xt=3*a*t/(1+(t^3))
1 j& P9 t# T) k" { s0 q6 W1 iyt=3*a*(t^2)/(1+(t^3))
, G2 p* L T% ^6 l) {
4 w/ A7 S% l, @% k' [ B6 x+ T1 l* ]7 e¯螺纹线
$ o Y" l" J) v+ j" a( W2 Ot=1
1 }" y. }+ e/ _ t0 ^xt=4*cos(t*(5*360))
7 I4 N* M* T) Iyt=4*sin(t*(5*360))
7 A6 R* Y x) p, O: a, Szt=6*t" Y+ G6 k: ` z4 W
) b$ Q8 S3 I9 H4 X& k p- J蛇形线
# n& q. y: C3 N2 c1 [瞭=1- n1 [/ U9 c9 v, u1 c
xt=2*cos(t*360*3)*t" p' G$ `+ M$ D9 }8 A) d* G1 V
yt=2*sin(t*360*3)*t
, |1 y1 Q( u; ]; H7 S5 _& w; Wzt=(sqrt(sqrt(sqrt(t))))^3*5 E+ ~5 g( P$ q% c- |# e7 q
瞭=1
5 ]# y( [1 A9 l/ V9 Br=t*3
8 h; m% e, U. h3 ?- e' n# |theta=t*360*36 G4 i, h" j4 z
zt=sqrt(t)*77 t% r) I9 l) P p; `
瞭=1. c: d% Y# d$ i5 s) l8 G4 I$ G
rho=360*sqrt(t)*2
' [. D8 D# {6 Y4 Ttheta=t*25
+ q, o m7 Z9 n1 @phi=360*t*4
/ V1 f$ B5 i- Q- ?+ a, h
/ j2 f( W: V! z% T. X5 J¯双余弦线
X( O6 O2 J/ B1 Z1 ft=15 R7 `% q1 S# h, [- e3 ^/ m2 \/ ]0 l# O
xt=-(9.5*6.5)+t*(9.5*6.5*2)
& w$ \, p. Y0 P9 N3 Uyt=cos(t*360*6.5)*(6.35/2)-(6.35/2)9 {0 D4 }2 U! ~, ~: @$ Q+ c
zt=cos(t*360*8)*5% V% S) L5 G$ j7 L% f
- a" ^8 }7 V7 E- \- T1 }¯对数线
2 [& q8 @3 [3 _t=1: R" F2 V @9 W" K- w( f
xt=10*t
* m0 O5 x+ [5 m4 J: T- zyt=log(10*t+0.0001)
3 R- D! D! j& W, [/ T
6 w0 {& S) G6 Y/ P抛物线
" U9 l6 d% l/ `t=1
+ g6 e% M/ v+ c( Rxt=(4*t)
' M$ X0 c7 [' s$ V. Z2 N3 Cyt=(3*t)+(5*t^2)
- ]2 y+ a }; D! u* F" {/ a# u 8 N# j5 e* Y/ h& W. I( q" X
¯勾形线( @; }) n* m1 |; k/ q z. @
t=1
1 K6 X# Y& H, p! ^" G' d5 Yxt=(5*(cos(t*360))^3)*t' s0 y- D1 T+ C W) ^
yt=(5*(sin(t*360))^3)*t
, g9 T9 ~5 [' a1 x; X/ v 9 k! D, {# z& M1 }/ } p
¯次声波
) ~+ M1 B; i2 A: T5 @t=1
+ F) m$ A4 l9 i4 lxt=t*5) S6 f4 F4 P1 }* r
yt=cos(t*360*8)*t
: C/ u. H7 H& Z, x& A8 w ' G/ w) A: Z* o! I
正弦波3 W3 [5 r0 i- R0 j/ X
t=1
7 i" N5 B+ T7 Lxt=5*t*t0 @) \- ~/ v/ G4 S9 \ I
yt=sin(t*8*360)*0.5* R' `5 M- I. r. u: F
O: }% e+ [$ \+ r" r渐开线
+ [: K7 }& H& G% H# Rpitch_diameter=10$ k5 p6 K3 D) X9 z5 {9 i l0 U
pressure_angle=20# f x+ e( W/ U( D) v, c
r=(pitch_diameter/2)*cos(pressure_angle)
5 \$ d) ^1 F6 c2 D& Ct=18 [+ F) J1 e6 Z! k9 z0 r
xt=r*cos(90*t*t)+r*(90*t*t)*(pi/180)*sin(90*t*t)- h- K0 m' L) E6 p" }
yt=r*sin(90*t*t)-r*(90*t*t)*(pi/180)*cos(90*t*t)$ c- h9 }1 N" Q# c Y
* T; b3 o. P$ ?* h3 T* q- I$ @普通外摆线
5 o, E0 s8 s/ R5 G! G3 ir=10
; H) L9 Q3 Z' L, r( I. d, I+ it=11 y5 A! n3 f6 c1 @
xt=t*(2*pi*r)-sin(t*360)*r" a- h6 o) v+ {4 Z8 c% U
yt=r-cos(t*360)*r
% M) I. {3 s/ o+ c) {, c 4 S+ G6 a* D# |0 x0 l8 _4 B2 r
¯小飞机3 M7 c4 o/ }. i$ k( h
t=19 @3 i- M! g5 Q Z8 z" W
xt=cos(t*360)+cos(3*t*360)9 [& r$ W, y- p+ s" ~- B$ ?
yt=sin(t*360)+sin(5*t*360)
; |9 w G, }5 @4 E: C
" @2 K1 F( \. V$ a/ u. V¯弯月
; U& j u; J" b+ ^! F7 t* Rt=1
6 i- q% M! K' |; Ext=cos(t*360)+cos(2*t*360)! \2 N0 c1 |5 t- G9 ^, q- A
yt=sin(t*360)*2+sin(t*360)*2- v5 U0 @+ ]7 [
1 h3 l" ?% |0 E2 I/ [ k¯五角形线. E. {4 f6 e: i2 J, j) z. d
t=1
1 y6 Q" p8 [2 z0 W$ mxt=2+(10-6)*cos(360*4*t)+10*cos((10/6-1)*(360*4*t))
) F; J- S* S7 E: Cyt=2+(10-6)*sin(360*4*t)-6*sin((10/6-1)*(360*4*t))1 P+ F- r/ } I7 N; ~ q
¯t=1
! f/ \, G/ l! M) B; O' U- U' q7 dxt=2+(10-6)*cos(360*4*t)+10*cos((10/6-1)*(360*4*t))
6 [) h* ]( \( E# g1 Hyt=2+(10-6)*sin(360*4*t)-10*sin((10/6-1)*(360*4*t))9 S: I/ a# p1 T8 c$ x0 ]2 |( x
¯t=1/ O. m2 c1 T9 j7 h2 m
xt=2+(10-2)*cos(360*4*t)+10*cos((10/6-1)*(360*4*t))) f6 u- j9 D7 x2 ]
yt=2+(10-2)*sin(360*4*t)-10*sin((10/6-1)*(360*4*t))
S ^- a3 q$ J¯t=1
. h E4 D. X: ?5 T" @. _xt=0.5+(10-6)*cos(360*5*t)+10*cos((6/10-1)*(360*5*t))
4 T7 G, J" D, V8 {' qyt=0.5+(10-6)*sin(360*5*t)-10*sin((6/10-1)*(360*5*t))
4 U# D6 o8 S: B
+ Q. }: v; F. ^1 M0 V' m: n热带鱼: K- s0 t- t: j8 _2 x5 t
a=5( }5 {5 m. g8 }! {: A+ R( O6 Z4 h
t=1
- B( t+ ]9 B1 Mxt=(a*(cos(t*360*3))^4)*t) v8 R" _9 e4 I; F
yt=(a*(sin(t*360*3))^4)*t
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" h1 P: r+ G$ n5 R& X1 z双蝴蝶线
. s6 l- W- O: F$ N$ Rt=1+ S: I3 u1 T6 r- {+ h% o" v
theta=t*360+90
: Q. ?% J/ E8 M7 T: }r=cos(360*t*5)*3+0.5
# R8 B0 j2 y$ r! h/ W j2 P( _; czt=cos(360*t*3)*3
, }" w9 W7 y0 d* [t=1. E2 h1 m4 g- U" A# T/ W4 o
theta=t*360+18
7 ]5 y" J* Z" R4 \1 ~% a" Sr=cos(360*t*5)*0.75+3.5
' G! @3 m- O0 \$ d2 bzt=cos(t*360*5)*0.4
9 K( F6 L0 u5 M9 A5 c3 tt=1" d( Q0 T0 t+ H. k* C7 g: O0 d
theta=t*360-54
; F8 `7 a t1 B# B3 [r=cos(360*t*5)*0.5+2.5
& T6 v: c6 H+ k' e0 z- M- Hzt=cos(t*360*5+90)*0.5& J* i) {! x$ x) a
& _1 `! B2 J& d, A O. B
心电图
/ i( G- D4 F4 s% M/ _t=10 u. ~6 e; [" X
r=sin(t*360*2)+0.2
0 k9 Y! \7 h$ j6 L( B. a' Qtheta=10+t*(6*360)& t" z6 f ]' A; |& @) N: `
zt=t*3
! S1 i& ]8 V. I 5 v7 m+ @0 b6 r6 u$ r
¯燕尾剪) n# q$ R% ?6 y
t=1% J, r5 L! F; m3 [: b
xt=3*cos(t*360*4)
1 Y' O+ o& ?/ l7 T5 iyt=3*sin(t*360*3)2 f. F/ B9 C7 }
zt=t
% ?7 ^* f Z8 H0 } zt=1
* W3 c% |4 @6 `3 q; f+ A$ P9 Qr=t*2
1 C. G1 u, V* N6 Ttheta=10+t*(12*360)/ b; [- C4 c1 c. v- H6 {( N" Q
zt=t*3
4 P2 o# ^, \- [$ e5 E/ u
, V5 D; k; V1 {. M$ y碟形线
% S% t d" F# I- y# n n- Pt=18 _3 ^6 k7 ^$ F; C% |
r=10+10*sin(6*t*360), E. S, y. D" H0 z# L) O
zt=2*sin(6*360*t): o$ N" Y. ^6 O+ Z- I
8 V7 v# F' t8 L( W% J- s7 k花篮6 E l7 O( }7 p1 j* p' O
t=16 R# S8 B% g& _: t9 j
r=56 A3 y# V7 B# A, x) W" D
zt=(sin(3.5*(t*720)-90))+2* U) u" k, v. `4 {0 D2 V6 |% ^5 |
6 G8 M2 f$ Y1 z
小兔兔. L0 x3 h8 [ F% Y
t=1/ v! ^# g" F1 N4 R
theta=t*360-90
* V: C; s) U. @% o$ G+ S% p5 l" R E4 ]r=cos(360*(t/(1+t^(6.5*t)))*6*t)*3.5+5
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红十字
& g; r6 m; }" s2 H i6 _t=1
. Q& P! `9 |' G8 ~3 a- W5 G% Zr=cos(360*t*4)*0.5+1
( P8 l5 ]' T( S" v* m7 g2 I: g' xtheta=t*360+90& [+ M/ f9 c. L$ v7 O
0 j. w: G2 R! W2 D$ A
心形线
7 l& a1 I6 s2 r5 u) I5 O" ot=15 m# O5 H8 { d; Y& f3 [ P7 M
r=10*(1+cos(t*360))
% x0 i. V0 s/ f' y: v/ y. q1 k- K; St=1
# m' A$ v& a0 Otheta=t*360*4
9 o( C, x; u4 u% qr=1+cos(t*360*5)
) k3 p2 K3 |# [; h2 L' N' ]# d' ft=1
7 r: B8 i6 B+ U& [) I k) l$ htheta=t*360*5
5 D7 z& a U l6 u% O' ~6 [. T+ Mr=8+5*sin(t*360*5*5)*t' j% h8 |$ I$ B* @
+ H& M5 D I# w2 Y, g- K2 W
太阳花/ @; `1 l" I2 R, H! ^4 C$ r
t=19 G, ] Q) w0 n! U5 q( Z; \) r1 S
theta=-t*360+180
: P6 l9 v3 D. {/ s0 Y( g/ ?r=cos(360*t/(1+t^8)*7)*3+6
6 W, p: x6 ^8 F: s2 @7 f' `& Kt=1
# m0 J: x5 M! |' t4 K4 Etheta=t*360! e( l, X5 R& T5 [) L9 R0 E
r=cos(360*t*20)*0.5*t+1
+ i" ^( F8 f8 k1 G! N% a; d0 B: b) tt=14 Q" Y, \" I7 m6 x' d1 D1 F8 x
theta=t*360*2; d3 @8 _! p; i- G0 k& y
r=cos(360*t*30)*0.5*t+2*t) q9 S* ?3 l: h5 R8 z
t=1
* a7 a ]. A5 B3 j. @theta=t*360*5
1 j! U3 _# u: d& J' V! B4 wr=cos(360*t*20)*0.5*t+1/ R3 ^! ^& X4 @. Z# B/ g1 m# e' P" }
C% B: X, [: c" Q( S
手掌 n. L* b! B& y Y
t=1
9 K6 j1 v3 Q5 B4 Etheta=t*360+180
5 C# A- V8 `/ X3 ]; \9 b4 ~5 g* e, `5 s* D# \r=cos(360*t^3*6)*2+5) U% w8 u9 X9 a6 F* {
t=14 b4 |5 `+ {7 A! @3 t( m6 v
theta=t*360*4) _1 G, E/ l* R
r=(cos(360*t*16)*0.5*t+1)*t
/ j8 `+ ]; l1 S( ]* q/ @, A0 _ 8 p+ s( G0 w! z1 t$ v! p
天蚕丝+ @, O! m& h# z. m: [ ^! M% h
t=1
+ l5 e( n5 Q- T2 _$ y; g" atheta=t*3600% m7 m7 w. a% d# p4 a9 h4 G
r=(cos(360*t*20)*0.5*t+1)*t
K4 E. P& j2 d % v. Y( n( k6 s5 \
人民币
# b. [( e# w# y4 `& a; p/ ~( Et=1) B/ l8 c: T; m% W" Q
theta=-t*360+180
) z/ r7 l3 ]1 }- br=cos(360*(t/(1+t^6))*6)*3+5% _9 t' e' @7 ? V* R1 P
t=17 U+ A' d5 U4 q7 G
rho=360*t*109 w4 h3 b2 |4 {, {( u1 C
theta=360*t*20
& Q6 w' B+ ^' `$ nphi=360*t*5
2 e% |0 u- u ^, @& l
" [5 c1 _/ V! W+ ]球面螺旋线
, c0 m' `0 R* Z3 I- Mt=1( r5 ~$ a& q/ F+ u/ o
rho=4
- ~3 m" q4 D' ~1 g9 |% T9 X* p5 Vtheta=t*180 @, W3 k: {# d
phi=t*360*12
6 G ^* o. W, v# C5 a0 U
, m0 E! s3 m; o5 k n蝴蝶线
, u) r; v# R% U4 _t=1
6 x+ A7 o- V" X; g0 Arho=8*t8 M7 }! u! O4 E8 {
theta=360*t*4
* r: _' n& ^" G L7 @1 hphi=360*t*8* I' @' N4 u5 ?1 E9 R9 Q
t=1
6 @! c& q( C/ srho=3*t% |) @- b, Z6 D& H9 u" u) |2 d
theta=360*t*5/ D1 H8 h4 T! j
phi=360*t*2.5
! P+ _$ B. _ m2 o! \; yt=1& `8 b: k& o0 T# I4 e; L
rho=8*t
" ~2 `5 u7 L7 xtheta=360*t*4; Q4 v3 o# }7 |" D6 g
phi=360*t*4 |
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