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Google搜索画二元方程

已有 7803 次阅读 2012-4-2 20:14 |个人分类:生活|系统分类:生活其它|关键词:学者| 函数, WebGL, 三维函书图

Google新推出的功能,只要在Google的搜索框中输入一个二元方程,就能将这个方程显示在三维空间中,可以用鼠标自由转动翻看三维图形。由于用的是WebGL技术,所以需要支持WebGL的浏览器(如Firefox,Chrome,Safari)

 

前三个是我尝试修改网上的公式得到的效果。

之后是网上搜集的公式尝试后的效果

后记是再自己摸索着尝试的一些公式。 


(-sqrt(1-x^2-(y-abs(x))^2)), x is from -1 to 1, y is from -1 to 1.5, z is from -1 to 1

 

剪贴板20121602165620046.jpg

 

(-sqrt(1-x^2-(y-abs(x))^2))+(-sqrt(1-x^2-(y-abs(x))^2)), x is from -1 to 1, y is from -1 to 1.5, z is from -1 to 1

 

 

麦库截图20121602165751052.jpg

 

 

(-sqrt(1-x^2-(y-abs(x))^2))+x^2, x is from -1 to 1, y is from -1 to 1.5, z is from -1 to 1

 

 

 

麦库截图20121702170021802.jpg

 

 

 

(-sqrt(1-x^2-(y-abs(x))^2))*cos(30*((1-x^2-(y-abs(x))^2))), x is from -1 to 1, y is from -1 to 1.5, z is from -1 to 1

 

麦库截图20121702170959011.jpg

 

tanh(y(y^4+5x^4-10(x^2)(y^2))/(x^2+y^2)^4)

 

 

麦库截图20121702171353482.jpg

 

sqrt(x*y+y*y)+3*sin(sqrt(x*x+y*y))+5 from -20 to 20

 

 

 

麦库截图20121702171834782.jpg

100-3/(sqrt(x^2+y^2))+sin(sqrt(x^2+y^2)), x is from -10 to 10, y is from -10 to 10, z is from 85 to 101

麦库截图20121702172026756.jpg

 

100-3/sqrt(x^2+y^2)+sin(sqrt(x^2+y^2))+sqrt(200-x^2+y^2+10*sin(x)+10*sin(y))/1000, x is from -15 to 15, y is from -15 to 15z is from 90 to 101

 

 

 

麦库截图20121702172921509.jpg

100-3/sqrt(x^2+y^2)+sin(sqrt(x^2+y^2))+sqrt(200-x^2-y^2+10*sin(x)+10*sin(y))/1000, x is from -15 to 15, y is from -15 to 15z is from 90 to 101

麦库截图20122002204638264.jpg

sin(5.5x)*cos(5*y)+x*x+1 x is from -1 to 1, y is from -1 to 1, z is from 0.1 to 2.8

麦库截图20121702172111548.jpg

 

(x^2+((3 y)/2-(x^2+abs(x)-6)/(x^2+abs(x)+2))^2)-36

 

 

 

麦库截图20121702173036258.jpg



后记:

 

试验x^2+y^2

 

得到:

 

麦库截图20121903192807768.jpg

 

试验

1/(x^2+y^2)

 

得到

麦库截图20121903193304183.jpg

 

两个叠加,试验

x^2+y^2+1/(x^2+y^2)

得到

 

麦库截图20121903193401892.jpg

 

放大,只显示-1,1  区间,试验

x^2+y^2+1/(x^2+y^2), x is from -1 to 1, y is from -1 to 1

 

得到

 

麦库截图20121903193540463.jpg

 

将分母增加些函数运算,试验

x^2+y^2+1/sqrt(x^2+y^2), x is from -1 to 1, y is from -1 to 1

得到

麦库截图20121903193957788.jpg




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