螺旋线的种类及公式 Spirals and formulas |
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Spiral Line 1 Line 2 Notes ----------------------------------------------------------------------------------------------------------------- Archimedean 1 t=it*i; x=r*cos(t)+c; Reg. 阿基米德螺旋线 r=a+b*t; y=r*sin(t)+c; ----------------------------------------------------------------------------------------------------------------- Archimedean 2 t=it*i; y=r*cos(t)+c; Reg. 阿基米德螺旋线 r=a+b*t; x=r*sin(t)+c; ----------------------------------------------------------------------------------------------------------------- Euler t+=dt; x+=cos(t*t)*dt; Diff. 欧拉螺旋线 //dt=it/n; y+=sin(t*t)*dt; ----------------------------------------------------------------------------------------------------------------- Fermat t=it*i; x=r*cos(t)+c; 2 parts 费马螺旋线 r=a*sqrt(t); y=r*sin(t)+c; ----------------------------------------------------------------------------------------------------------------- Hyperbolic t=it*i; x=r*cos(t)+c; Reg. 双曲线螺旋线 r=a/t; y=r*sin(t)+c; ----------------------------------------------------------------------------------------------------------------- Lituus t=it*i; x=r*cos(t)+c; Reg. 连锁螺线 r=sqrt(a/t); y=r*sin(t)+c; ----------------------------------------------------------------------------------------------------------------- Logarithmic t=it*i*10; x=r*cos(t)+c; Reg. 对数螺旋线 r=a*(exp(b*t)); y=r*sin(t)+c; ----------------------------------------------------------------------------------------------------------------- Theodorus t=it*i; x=sc*r*cos(t)+c; Diff. 特奥多鲁斯螺旋线 r=sqrt(i); y=sc*r*sin(t)+c; ----------------------------------------------------------------------------------------------------------------- Fibonacci t=it*i; x=a*r*cos(t)+c; Diff. 斐波那契螺旋线 r=(pow(gm,i)-pow(gn,i))/sq5; y=a*r*sin(t)+c; ----------------------------------------------------------------------------------------------------------------- Involute t=it*i; x=r*(cos(t)+t*sin(t))+c; Diff. 渐开螺旋线 r=a; y=r*(sin(t)-t*cos(t))+c; ----------------------------------------------------------------------------------------------------------------- Super t=it*i; x=r*cos(t)+c; Reg. 平方(根)螺旋线 r=c*sqrt(i/n); y=r*sin(t)+c; ----------------------------------------------------------------------------------------------------------------- Atomic t=it*i*10; x=sc*r*cos(t)+c; Reg. 原子螺旋线 r=t/(t-a); y=sc*r*sin(t)+c; ----------------------------------------------------------------------------------------------------------------- Atzema t=i; x=sin(t)/t-2*cos(t)-t*sin(t)+c; Diff. 阿特泽马螺旋线 y=-cos(t)/t-2*sin(t)+t*cos(t)+c; ----------------------------------------------------------------------------------------------------------------- Vogel t=it*i; x=sc*r*cos(t)+c; Diff. 沃格尔螺旋线 r=sqrt(i)/sqrt(n); y=sc*r*sin(t)+c; ----------------------------------------------------------------------------------------------------------------- Cochleoid t=it*i*10; x=sc*r*cos(t)+c; Reg. 蜗牛螺旋线 r=sin(t)/t; y=sc*r*sin(t)+c; ----------------------------------------------------------------------------------------------------------------- Sacks sqi=sqrt(i) x=a*-cos(sqi*pi2)*sqi+c; Diff. 萨克斯螺旋线 y=a*sin(sqi*pi2)*sqi+c; ----------------------------------------------------------------------------------------------------------------- 由于编辑器原因,上述表格格式可能错乱,但总体可以看得明白,见谅! 建议您同时参见这篇文章:有趣的曲线_csuzhucong的博客-CSDN博客 |
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