dansmath > Math Jokes

 

 

	dan's graphics gallery
	An assortment of math-related pictures. Some use Mathematica, others from 3D modeling or "Graphing Calculator" software.     Looking at z = f(x, y)   Twisty Curves in Space   Out of Control Polyhedra   Rectangles Cut Into Squares   Nested Circles of Apollonius   Dan's 3D 'Virtual Experiments'

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Looking at z = f (x, y) in a few ways (back to top)

(brought to you by Mathematica... commands in gray)

      


      


      


      


      

density plot

f[x_, y_] :=
 Sin[2x] Sin[y];
d1=DensityPlot[
f[x,y],{x,-3,3},
{y,-3,3},PlotPoints
->23,ColorFunction
->Hue];

      

contour plot

f[x_, y_] :=
 Sin[2x] Sin[y];
c1=ContourPlot[
f[x,y],{x,-3,3},
{y,-3,3},Contours 
->9,PlotPoints->73,
ContourLines->False,
ColorFunction->Hue];

      

surface plot

f[x, y]:=
 Sin[2x] Sin[y];
p1=Plot3D[f[x,y], 
{x,-3,3},{y,-3,3},
	PlotPoints->63,Mesh->
False,ColorFunction->
(Hue[.3+.5#]&)];

      

combo plate

Graphics3D[First
[Graphics[ac[k]]]/. 	
Line[x_]:>Line[Map[
Append[#,k]&,x]];
Show[surf,Table[
{g1[k],g2[k]},
{k,-.9,.9,.2}]

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Twisty Curves In Space (back to top)

(more from Mathematica... mostly parametric trig functions)

      

      
 

      
 

      
 

      
your basic saddle

      
morphed curve dot net

      
surfaced curve

      
roller coaster

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Out of Control Polyhedra! (back to top)

      
 

      
 

      
 

      
 

      
polyhedral planets

      
fractal icosahedron

      
icosa-hair-dron

      
216 color cubes

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Rectangles Cut Into Squares (back to top)

(sorry, the flow diagram is upside down...)

      
 

      
 

      
a 32 x 33 rectangle tiled
      by squares...

      
...the corresponding flow
      diagram

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Nested Circles of Apollonius (back to top) . . . . .

 
 
 

      

        
For more pics, and to
        find out what those numbers are, see dan's
        
nested circles page
      

      
the big picture

      
now let's

      
zoom in!

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Dan's 3D Virtual Experiments (back to top)

(brought to you by the late great Infini-D software from MetaTools)

      
 
 

      
 

      
helix-stick-thing

      

        
woodhead and safir
        
(YouTube stars!)
      

      
dansmath lessons cube

 

 

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