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Contents of this article
- 1.How to draw 3D in matlab
- 2. Use mathematica4.0 to draw the graph of the curve x^2+y^2=x z=root-x^2-y^2
- 3. Find the volume of Viviani body
- 4.Who is Vivian’s uncle?
How to draw 3D in matlab
t=linspace(0,2*pi,73);
r=1;
x=r*sin(t).^2;
y=r*sin(t).*cos( t);
z=r*cos(t);
plot3(x,y,z)% Viviani curve
hold on
q=linspace(-1,1,73 );
[t,q]=meshgrid(t,z);
mesh(r/2*(cos(t)+1),r/2*sin(t),q,'edgecolor' ,'none','facecolor','r')
[x,y,z]=sphere(73);
mesh(x,y,z,'edgecolor','none','facecolor ','y');
axis equal off;lighting gouraud;alpha .2;camlight headlight
h=legend('Vivianni curve','cylinder','sphere','location' ,'northoutside','Orientation','horizontal');
set(h,'color', 'none','box','off')
Use mathematica4.0 to draw the graph of the curve x^2+y^2=x z=root-x^2-y^2
Use the parameter drawing command, please see the picture file below, you can click to enlarge or download it.
*****The famous Viviani curve at this time,
The graphics on my blog are dynamic. ****
I also have many dynamic advanced mathematics graphics, I will send you the address. ***.cn/s/blog_48b1b39a010004zt.html
Wonderful pictures for viewing.
Find the volume of a Viviani body
There are too many formulas. Look at the attached pictures. It is best to download them to your computer to see them more clearly.
Who is Vivian's uncle?
Vincenzo Viviani was an Italian mathematician and physicist (1622.4.5 –1703.9.22). Born in Florence, Italy.
Vivianni was Galileo's favorite disciple and close assistant in his later years. He is known to the world for his Viviani theorem and Viviani curve. Viviani and Torricelli also proposed the concept of air pressure in 1643 and invented the mercury barometer.
The above is all about the Viviani curve, how to draw three-dimensional images in matlab, and Vivian-related content. I hope it can help you.