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

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.

48. spin3D
49. x*x
50. sin(x)
51. cos(x)
52. sin(x*x)
53. cos(x*x)
54. x^2+y^2=1
55. x^2-y^2-1

Web editor

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

Interactive 互动

72. water 可以升降的水
73. sea water 可以升降的海水
74. solar eclipse 日食
75. broke net 打破网
76. love tree 爱心树

plot3D 立体图

77. solar 3D 互动太阳系
78. bianchi-pinkall-animation 指环
79. bianchi-pinkall-animation-zoomed 大指环

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

The plot3D( ) plots 3D graph, which become animation by clicking the spin checkbox.
80. plot3D( )
82. tori 花环
83. 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.

84. complex3D( )

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.
85. x*x-y*y-z*z-t-1
86. implicit3D( )

Classication by appliaction 按应用分类:

Astronomy & Solar System

87. solar system 太阳系行星运行
88. solar in 2D 太阳系行星运行
89. solar in 3D 互动太阳系

Chemistry

90. Buckyball

Engineering & Structure

91. Catenoid to Helicoid
92. Plane to Sphere
93. Platonic Solids
94. Rotating Tesseract

Heat & Temperature

95. Brownian Motion
96. Random Walk

Light & Color

98. Color Subtraction

Mathematics & Patterns

99. cube
100. Hopf Fibration
101. Lorenz Attractor
102. Modular Fibration
103. Plane Cutting Ellipsoid

Mechanics, Dynamics & Motion

105. Elastic Collisions in 2D
106. Elastic Collisions in 3D
107. Elastic Collisions in Flatland

Waves & Resonance

108. Cylindrical Wave
109. Plane Wave
110. 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:

showmarg();

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