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Graphics with online software MathHand.com 制图法 1

Classification by plot function 按制图函数分类

Content

Classification by plot function 按制图函数分类

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.

2D graph

    plot 制图

    The plot( ) plots animation by adding the timer(x) into your formula.
  1. sun rise 日升函数 integral(semicircle(timer(3)))
    /index/sunrise
  2. change the x value to minus, sunrise(-x) become sun down 日落函数 integral(semicircle(timer(-3)))
  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 timer(-x) and sqrt((9)-x*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
    abs(x)^(2/3)+0.9*sqrt(3.3-x^2)*sin(pi*x*timer(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( )
  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
  48. color maps

    Webpage editor

  49. solar 太阳系行星运行
  50. solar 2D 太阳系行星运行2D
  51. taiji 太极图
  52. taichi 八卦太极图
  53. clock 时钟
  54. html clock html 时钟
  55. ccs clock ccs 时钟
  56. heart beat 心跳
  57. I love u 我爱你
  58. percent 进度百分比
  59. new year 新年
  60. driving dog 会开车的狗
  61. sea at night 夜里海水
  62. fish jumping 鱼跳水
  63. firework 烟花
  64. rose 玫瑰花
  65. calendar 日历
  66. Chinese calendar 农历日历
  67. mathjs is JavaScript libary
  68. react is JavaScript libary

    Interactive 互动

  69. water 可以升降的水
  70. sea water 可以升降的海水
  71. solar eclipse 日食
  72. broke net 打破网
  73. love tree 爱心树
  74. check code 验证码
  75. simple calculator 简单计算器
  76. sci calculator 科学计算器
  77. color selector 颜色取色器
  78. plot 函数图
  79. solar3D 互动太阳系3D
  80. galaxy 互动太阳系
  81. cube

    3D graphics 立体图

    All 3D graphs are interactive, you can zoom, move, spin, etc.
  82. cube
  83. sphere
  84. Cylinder
  85. bianchi-pinkall-animation 指环
  86. bianchi-pinkall-animation-zoomed 大指环
  87. FlatTorus
  88. solar 3D 互动太阳系
  89. galaxy 互动太阳系
  90. Metaballs

    surface3D(x)

  91. surface3D

    plot3DIE 制图3DIE 立体图IE

    The plot3DIE( ) plots a function, parametric function in 3D graph.

    Here are some particularly nice examples by plot function plot3DIE( )

  92. plot3DIE( )
  93. plot3DIE(x*y)
  94. plot3DIE(x*x, sin(x)) two surfaces overlap

    NOTICE Following 3D graph work only in Edge, Safari, Chrome, FireFox, not in IE.

    plot3D 制图3D

    The plot3D( ) plots 3D graph, which become animation by clicking the spin checkbox.
  95. plot3D( )

    parametric3D 函数图3D

  96. parametric3D( sinh(u)*sin(v),sinh(u)*cos(v),10*n*v )
  97. Parametric Surfaces 25 parametric equations
  98. Parametric Surfaces 100 parametric equations
    Please refresh this webpage to show different graphics, click the "Parametric Surfaces" to enlarge, click the "equation" to show 200 equations for graphics.

    More examples in Surface 3D

    spin3D 旋转图3D for 4 graphes in one plot

    The spin3D plots spin of a function, implicit function, parametric function, a spacial curve, and its inverse in 3D graph.
    1. a surface in space. 2. a curve in space. 3. cross-section. 4. positive value of a curve spins to make stereo.

  99. spin3D
  100. x*x
  101. sin(x)
  102. cos(x)
  103. sin(x*x)
  104. cos(x*x)
  105. x^2+y^2=1
  106. x^2-y^2-1

    complex3D 复变函数图3D for 20 graphes in one plot

    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.

  107. complex3D( )
    More examples in complex function

    wireframe3D 函数图3D

  108. wireframe3D( )
    More examples in Surface 3D

    contour3D 函数图3D

  109. contour3D( )
    More examples in Surface 3D

    implicit3D 隐函数图3D

  110. implicit3D( )
    More examples in Surface 3D

    4D in the space-time of 4 Dimensions

    Have you ever tried to see objects in dimension 4? This is possible! Our space is in 3 dimensions. Adding the dimension of time, we get a space-time of dimension 4.

    The objects in this space-time are therefore 3D objects which deform with the time. following this principle, this tool proposes to you the visualization of some of these objects as deforming 3D objects, with the aim of helping you to establish this vision in dimension 4.

    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.

  111. x*x-y*y-z*z-t-1
    More examples in Quadratic hypersurfaces 4D

Classification by appliaction 按应用分类

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Reference 参阅

  • function graph 制图
  • graphics 制图法
  • example 例题

    Credit

  • Paul Masson
  • Xiao Gang

    If you have good idea or example, please contact us, I might include it into this demo page, of course with credit to you, your name will be included here. 


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