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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 #### 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:

#### showmarg();

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