+ + =

Animation 动画

Classication of animation 动画分类

Classication by plot function 按制图函数分类:

plot 制图

The plot( ) plots animation by adding the timer(x) into your formula.
1. sun rise 日升函数 sunrise(4)
2. change the x value to minus, sunrise(-x) become sun down 日落函数 sunrise(-4)
3. sin wave moving to right when x>0 向右正弦波 sin(x-timer(30))
4. sin wave moving to left when x<0 向左正弦波 sin(x-timer(-30))
5. sine runs after cosine as above two functions are combined 正弦波追余弦波
   sinwave(-30)+1 and sinwave(30)-1
6. blue peak grow slow and red peak grow fast 篮山峰长高慢 红山峰长高快
   gauss(x+2)*timer(5) and gauss(x-2)*timer(10)
7. clock 时钟 semicircle(3.5) and timer(-x)
8. tangent rides on sine wave 切线骑正弦波
   sin(x+timer(30)) and cos(timer(30))*x+sin(timer(30))
9. define loving function, call it. 爱你函数
   loving(t_):=abs(x)^(2/3)+0.9*sqrt(3.3-x^2)*sin(pi*x*timer(t)); loving(30)
10. define a function of damped vibration wave, call it. 阻尼振动波
    vibration(t_):=sin(10*x-timer(t))*e^(-0.1*x); vibration(30)

    polar plot 极坐标图

    The polarplot( ) plots animation by adding the timer(x) into your formula.
11. water wave 水波函数 polarplot( timer(6) )
    
12. Spiral of Archimedes 阿基米德螺线 polarplot( timer(x) )
    
13. heart become large 心大函数 polarplot( (1-sin(x))*timer(3) )
14. heart become small 心小函数 polarplot( (1-sin(x))*timer(-3) )
15. heart moving 心动函数 polarplot( 1-sin(x-timer(30)) )
16. heartbeat video 心动录像 heart.mp4
17. flowring video 开花录像 flowering.mp4
18. flowering 开花函数 polarplot( sin(4*x)*timer(6) )
    

    Web editor

19. solar system 太阳系行星运行
20. taiji 太极图
21. taichi 八卦太极图
22. clock 时钟
23. html clock html 时钟
24. ccs clock ccs 时钟
25. heart beat 心跳
26. I love u 我爱你
27. percent 进度百分比
28. new year 新年
29. driving dog 会开车的狗
30. sea at night 夜里海水
31. fish jumping 鱼跳水
32. firework 烟花

    Interactive 互动

33. water 可以升降的水
34. sea water 可以升降的海水
35. solar eclipse 日食
36. broke net 打破网
37. love tree 爱心树

    plot2D 制图2D

    The plot2D( ) plots animation on 4 ways:
    1. click the auto-Axis checkbox.
    2. add t into your formula, then click the auto-t checkbox.
    3. add the timer(t) into your formula.
    4. On a device with a keyboard, try selecting one of the sliders and holding down a cursor key to see the patterns evolve continuously.

38. plot2D?i=0.1*cos(x)*x&polar=on&animate=on 贝壳 shell 0.1*cos(x)*x
39. plot2D?i=x-t&t=10&polar=on&animate=on 顺时针旋转阿基米德螺线 Spiral of Archimedes x-t
40. plot2D?i=x+t&t=10&polar=on&animate=on 逆时针旋转阿基米德螺线 Spiral of Archimedes x+t
41. plot2D?i=cos(x-t)+%2b1&autoT=on 向右正弦波 cos(x-t)+1
42. plot2D?i=cos(x+%2bt)+%2b1&autoT=on 向左正弦波 cos(x+t)+1
43. Cornu Spiral the double Fresnel cosine and sine integrals fresnelC(x),fresnelS(x).
44. Cornu Spiral the Fresnel cosine and sine integrals fresnelC(x),fresnelS(x).
45. plot2D(fresnelC(x)) right-side spring 向右弹簧.
46. plot2D(-fresnelC(x)) left-side spring 向左弹簧.
47. plot2D(S(x),sin(x)-x) down-side spring 向下弹簧.
48. plot2D(S(x),sin(x)+x) up-side spring 向上弹簧.
49. plot2D(S(x),sin(x)-x) double spring 双弹簧.
50. sin(x-timer(9)) 向右正弦波
51. sin(x-timer(-9)) 向左正弦波
52. coloring butterfly 变色蝴蝶
53. Weierstrass Function
54. Unwrapping Circle
55. choreographies
56. square
57. x^2-y^2-t

    plot3D 立体图

    The plot3D( ) plots animation by clicking the spin checkbox.
58. solar 3D 互动太阳系
59. bianchi-pinkall-animation 指环
60. bianchi-pinkall-animation-zoomed 大指环
61. radar 雷达
62. tori 花环
63. Cabello's Curve 曲线

    spin3D 旋转图3D

    The spin3D plots spin of a function, implicit function, parametric function, a spacial curve, and its inverse in 3D graph.
    1. a plane in space. 2. a curve in space. 3. cross-section. 4. positive value of a curve spins to make stereo.

64. x*x
65. sin(x)
66. cos(x)
67. sin(x*x)
68. cos(x*x)
69. x^2+y^2=1
70. x^2-y^2-1

    Classication by appliaction 按应用分类:

    Astronomy & Solar System

71. solar system 太阳系行星运行
72. solar in 2D 太阳系行星运行
73. solar in 3D 互动太阳系

    Chemistry

74. Buckyball

    Engineering & Structure

75. Catenoid to Helicoid
    
76. Plane to Sphere
    
77. Platonic Solids
    
78. Rotating Tesseract

    Heat & Temperature

79. Brownian Motion
    
80. Random Walk

    Light & Color

81. Color Addition
    
82. Color Subtraction

    Mathematics & Patterns

83. Hopf Fibration
    
84. Lorenz Attractor
    
85. Modular Fibration
    
86. Plane Cutting Ellipsoid
87. About 100 Parametric Surfaces
    

    Mechanics, Dynamics & Motion

88. Elastic Collisions in 2D
    
89. Elastic Collisions in 3D
    
90. Elastic Collisions in Flatland

    Waves & Resonance

91. Cylindrical Wave
    
92. Plane Wave
    
93. Spherical Wave

Reference 参阅