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math animation online software 动画

一个点击把函数图变成动画 math graph becomes animation by a click. Add timer(x) function for animation, timer(x) auto count up from 0 to x, timer(-x) auto count down from x to 0.

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

  • example 例题
  • graph 制图
  • graphics 制图法 
    参阅
    1. 数学 - 数学符号 - 数学索引
    2. 手册 = 中学数学手册 + 数学手册 + 实用数学手册
    3. 初等数学 = 中学数学 = 初中数学 + 高中数学
    4. 高等数学 = 基础数学 ( 代数 + 几何 + 分析 ) + 应用数学
    5. 数学公式 - 函数图 - 曲线图 - 立体图 - 动画 - 例题
    6. 书单 = 数学 + 物理 + 化学 + 计算机 + 医学 + 英语 - QQ群614057790下载书
    7. 数学手册计算器 = 数学 + 手册 + 计算器 + 计算机代数系统
    8. 例题:

    
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