+ + =

math animation online software 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 sqrt(timer(9)-x*x)
2. change the x value to minus, sunrise(-x) become sun down 日落函数 sqrt(timer(-9)-x*x)
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
   sin(x-timer(30))+1 and sin(x+timer(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 sqrt((9)-x*x) 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))*exp(-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. flower spin 花旋转函数 polarplot( sin(2*x-timer(6)) )
    
17. flower spin 花旋转函数 polarplot( sin(3*x-timer(6)) )
    
18. flower spin 花旋转函数 polarplot( sin(4*x-timer(6)) )
    
19. flowering 开花函数 polarplot( sin(2*x)*timer(6) )
    
20. flowering 开花函数 polarplot( sin(3*x)*timer(6) )
    
21. flowering 开花函数 polarplot( sin(4*x)*timer(6) )
    
22. flowering 开花函数 polarplot( cos(2*x)*timer(6) )
    
23. flowering 开花函数 polarplot( cos(3*x)*timer(6) )
    
24. flowering 开花函数 polarplot( cos(4*x)*timer(6) )
    
25. heartbeat video 心动录像 heart.mp4
26. flowring video 开花录像 flowering.mp4
    

    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.

27. plot2D?i=0.1*cos(x)*x&polar=on&animate=on 贝壳 shell 0.1*cos(x)*x
28. 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
29. 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
30. plot2D?i=cos(x-t)+%2b1&autoT=on 向右正弦波 cos(x-t)+1
31. plot2D?i=cos(x+%2bt)+%2b1&autoT=on 向左正弦波 cos(x+t)+1
32. Cornu Spiral the double Fresnel cosine and sine integrals fresnelC(x),fresnelS(x).
33. Cornu Spiral the Fresnel cosine and sine integrals fresnelC(x),fresnelS(x).
34. plot2D(fresnelC(x)) right-side spring 向右弹簧.
35. plot2D(-fresnelC(x)) left-side spring 向左弹簧.
36. plot2D(S(x),sin(x)-x) down-side spring 向下弹簧.
37. plot2D(S(x),sin(x)+x) up-side spring 向上弹簧.
38. plot2D(S(x),sin(x)-x) double spring 双弹簧.
39. sin(x-timer(9)) 向右正弦波
40. sin(x-timer(-9)) 向左正弦波
41. coloring butterfly 变色蝴蝶
42. coloring square 变色花环
43. Weierstrass Function
44. Unwrapping Circle
45. choreographies
46. x^2-y^2-t

    plot3D 立体图

    The plot3D( ) plots 3D graph, which become animation by clicking the spin checkbox.
47. solar 3D 互动太阳系
48. bianchi-pinkall-animation 指环
49. bianchi-pinkall-animation-zoomed 大指环

    NOTICE Following 3D graph work only in Safari, Chrome, FireFox, etc.

50. radar 雷达
51. tori 花环
52. Cabello's Curve 曲线

    complex3D 复变函数图3D

    The complex3D( ) plots a function on the complex plane and space, which become animation by clicking the spin checkbox.

    Here are some particularly nice examples by plot function complex3D( ) that show real and imaginary parts of complex function including special functions on complex axes and plane.

    implicit3D 隐函数图3D

    The implicit3D( ) can plot a 4-dimensional (x,y,z,t) object in 3D space, which become animation by clicking the spin checkbox. You manually change the t value by slider. e.g.
53. x*x-y*y-z*z-t-1

    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.

54. x*x
55. sin(x)
56. cos(x)
57. sin(x*x)
58. cos(x*x)
59. x^2+y^2=1
60. x^2-y^2-1

    Web editor

61. solar system 太阳系行星运行
62. taiji 太极图
63. taichi 八卦太极图
64. clock 时钟
65. html clock html 时钟
66. ccs clock ccs 时钟
67. heart beat 心跳
68. I love u 我爱你
69. percent 进度百分比
70. new year 新年
71. driving dog 会开车的狗
72. sea at night 夜里海水
73. fish jumping 鱼跳水
74. firework 烟花
75. solar in 2D 太阳系行星运行
76. cube

    Interactive 互动

77. water 可以升降的水
78. sea water 可以升降的海水
79. solar eclipse 日食
80. broke net 打破网
81. love tree 爱心树

    Classication by appliaction 按应用分类:

    Astronomy & Solar System

82. solar system 太阳系行星运行
83. solar in 2D 太阳系行星运行
84. solar in 3D 互动太阳系

    Chemistry

85. Buckyball

    Engineering & Structure

86. Catenoid to Helicoid
    
87. Plane to Sphere
    
88. Platonic Solids
    
89. Rotating Tesseract

    Heat & Temperature

90. Brownian Motion
    
91. Random Walk

    Light & Color

92. Color Addition
    
93. Color Subtraction

    Mathematics & Patterns

94. cube
95. Hopf Fibration
    
96. Lorenz Attractor
    
97. Modular Fibration
    
98. Plane Cutting Ellipsoid
99. About 100 Parametric Surfaces
    

    Mechanics, Dynamics & Motion

100. Elastic Collisions in 2D
     
101. Elastic Collisions in 3D
     
102. Elastic Collisions in Flatland

     Waves & Resonance

103. Cylindrical Wave
     
104. Plane Wave
     
105. Spherical Wave

Reference 参阅