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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

    Web editor

  27. solar system 太阳系行星运行
  28. taiji 太极图
  29. taichi 八卦太极图
  30. clock 时钟
  31. html clock html 时钟
  32. ccs clock ccs 时钟
  33. heart beat 心跳
  34. I love u 我爱你
  35. percent 进度百分比
  36. new year 新年
  37. driving dog 会开车的狗
  38. sea at night 夜里海水
  39. fish jumping 鱼跳水
  40. firework 烟花

    Interactive 互动

  41. water 可以升降的水
  42. sea water 可以升降的海水
  43. solar eclipse 日食
  44. broke net 打破网
  45. 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.

  46. plot2D?i=0.1*cos(x)*x&polar=on&animate=on 贝壳 shell 0.1*cos(x)*x
  47. 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
  48. 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
  49. plot2D?i=cos(x-t)+%2b1&autoT=on 向右正弦波 cos(x-t)+1
  50. plot2D?i=cos(x+%2bt)+%2b1&autoT=on 向左正弦波 cos(x+t)+1
  51. Cornu Spiral the double Fresnel cosine and sine integrals fresnelC(x),fresnelS(x).
  52. Cornu Spiral the Fresnel cosine and sine integrals fresnelC(x),fresnelS(x).
  53. plot2D(fresnelC(x)) right-side spring 向右弹簧.
  54. plot2D(-fresnelC(x)) left-side spring 向左弹簧.
  55. plot2D(S(x),sin(x)-x) down-side spring 向下弹簧.
  56. plot2D(S(x),sin(x)+x) up-side spring 向上弹簧.
  57. plot2D(S(x),sin(x)-x) double spring 双弹簧.
  58. sin(x-timer(9)) 向右正弦波
  59. sin(x-timer(-9)) 向左正弦波
  60. coloring butterfly 变色蝴蝶
  61. coloring square 变色花环
  62. Weierstrass Function
  63. Unwrapping Circle
  64. choreographies
  65. x^2-y^2-t

    plot3D 立体图

    The plot3D( ) plots animation by clicking the spin checkbox.
  66. solar 3D 互动太阳系
  67. bianchi-pinkall-animation 指环
  68. bianchi-pinkall-animation-zoomed 大指环
  69. radar 雷达
  70. tori 花环
  71. 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.

  72. x*x
  73. sin(x)
  74. cos(x)
  75. sin(x*x)
  76. cos(x*x)
  77. x^2+y^2=1
  78. x^2-y^2-1

    Classication by appliaction 按应用分类:

    Astronomy & Solar System

  79. solar system 太阳系行星运行
  80. solar in 2D 太阳系行星运行
  81. solar in 3D 互动太阳系

    Chemistry

  82. Buckyball

    Engineering & Structure

  83. Catenoid to Helicoid
  84. Plane to Sphere
  85. Platonic Solids
  86. Rotating Tesseract

    Heat & Temperature

  87. Brownian Motion
  88. Random Walk

    Light & Color

  89. Color Addition
  90. Color Subtraction

    Mathematics & Patterns

  91. Hopf Fibration
  92. Lorenz Attractor
  93. Modular Fibration
  94. Plane Cutting Ellipsoid
  95. About 100 Parametric Surfaces

    Mechanics, Dynamics & Motion

  96. Elastic Collisions in 2D
  97. Elastic Collisions in 3D
  98. Elastic Collisions in Flatland

    Waves & Resonance

  99. Cylindrical Wave
  100. Plane Wave
  101. 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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