Visualising Equations

1_eine-a4-singularitat

x*(x-a^2)*(x+b-a^2)*(x+a^2)*(x+b+a^2)+y^2-z^2  = 0  for (a = 0, b = 0.36)

2_eine-kummer-quartik

(x^2+y^2+z^2-(0.5+2*a)^2)^2-(3.0*((0.5+2*a)^2)-1.0)/(3.0-((0.5+2*a)^2))*(1-z-sqrt(2)*x)*(1-z+sqrt(2)*x)*(1+z+sqrt(2)*y)*(1+z-sqrt(2)*y) = 0  for (a = 0.43)

3_die-clebsch-kubik

x^3+y^3+z^3+1-0.5*a*(x+y+z+1)^3  = 0 for (a = 1)

4_kreuz

x*y*z = 0

5_suss

(x^2+9/4*y^2+z^2-1)^3-x^2*z^3-9/80*y^2*z^3 = 0

6_ein-einschaliges-hyperboloid

x^2/(a+0.05)^2+y^2/(b+0.05)^2-z^2-1 = 0 for  (a = 1, b = 1)

7_die-clebsch-kubik

x^3+y^3+z^3+1-0.5*a*(x+y+z+1)^3 = 0  for (a = 1)

All the above graphs were generated using Surfer software. It ire real fun to play with it and vizualize the equations.

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2 Responses to “Visualising Equations”


  1. 1 gp December 19, 2008 at 10:07 am

    god theyre beautiful. wish i can learn math again…the real ones 🙂

  2. 2 jesvin December 17, 2008 at 2:53 pm

    Those equations ARE beautiful. Did the program color the discontinuous surfaces?


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