Valentina Galata
gallery
Valentina Galata
Valentina Galata, now student of bioinformatics in Germany, started to use the surfer as a high school student in 2008. She specialized in remodelling real world objects with SURFER. She found equations that create images of fruits, design objects or landscapes. Generally she adds several surfaces to one image by multiplying their equations, often variations of basic geometric figures, like spheres or cones.
Formula
- (4\cdot(x+z+0.55)^2+4y^2+200z^6-0.1)\cdot((2.5x^2+2.5y^2+z^2)^2-(2.5x^2+2.5y^2))\cdot((40\cdot(x-0.65)^2+40y^2+30z^2+2)^2-9\cdot(30z^2+40x-0.65)^2)-8\cdot(0.7x-0.65))-0.4=0\\
- (0.45x^2+0.45y^2+2\cdot(1.6z-1.39)^3\cdot(1+(1.35z-1.37)))\cdot(x^2+y^2+(z-0.85)^2-0.015)-0.000001=0\\
- 10y^2+10x^2-10-(20z+9)^5=0\\
- ((2x-0.8)^6+(2y+1.15)^6+(3z+1.31)^6-0.0001)\cdot((1.35x+0.9+1.35y)^6+(1.35y+1.2-1.35x)^6+(3z+1.31)^6-0.0001)=0\\
- (0.7x+1+0.7y+y)^6+(0.7y+0.9-0.7x-x)^6+(3z+0.9)^6-0.0001=0\\
Teapot
Licence CC BY-NC-SA-3.0
Formula
- ((12y^2+12x^2+12z^2+2)^2-8.9\cdot(12x^2+12y^2)-7y)\cdot((50\cdot(y-0.35)^2+50\cdot(x+0.2)^2+50\cdot(z+0.16)^2-0.02)^2-(50\cdot(y-0.35)^2+50\cdot(x+0.2)^2-2\cdot(x+0.2)-0.2))-0.03 = 0 \\
- (x+0.19)^2+(y-0.35)^2+(z+0.18)^2-0.003=0 \\
- 50\cdot(0.4x)^2+20\cdot(y-0.34)^2+20z^2+10\cdot(20\cdot(x-0.065)^2+20z^2)\cdot(20\cdot(y-0.28)^2+20z^2)-1=0 \\
- ( {(120\cdot(y-0.19)^2+120\cdot(x-0.32+y/4)^2+120z^2+2)^2} - {8.4\cdot(120z^2+120\cdot(y-0.19)^2)}+7\cdot(y-0.19)) \cdot( {(110\cdot(y-0.25)^2+110\cdot(x-0.25-y/8)^2+110z^2+2)^2} - {8.4\cdot(110z^2+110\cdot(y-0.25)^2)}+7\cdot(y-0.25))-0.01=0 \\
Moon
Licence CC BY-NC-SA-3.0
Formula
- ((0.99z-4.7)^2+(0.7y-2)^2-(0.8x+3))\cdot((2z-9)^2+(0.5y+1)^2-(x+3))\cdot(x+0.8)\cdot((0.5z-1)^2+(0.8y+4.3-(0.5z-0.6))^2-(x+3))+25=0 \\
- ((x+1.2)^6+(0.7y+2.1)^6+(0.8z+0.5)^6-1)\cdot (0.0001\cdot (x+2)^{12}+(y+1)^{12}+z^{12}-0.01)= 0 \\
- (x+2+(0.6y+1.8))^6+(0.6y+1.8-(x+2))^6+(0.9z+0.6)^6-1=0 \\
- ((x+2.5)^2+(y-4)^2+(z-2)^2-0.8)\cdot((x+2.5)^2+(y-3.2)^2+(z-2)^2-0.4)\cdot((x+3.2)^2+(y-3.6)^2+(z-2.4)^2-0.2)-0.01=0 \\
- ((12\cdot(y-2)^2+12\cdot(x+5.7)^2+12\cdot(z-1)^2+2)^2-9\cdot(12\cdot(x+5.7)^2+12\cdot(y-2)^2)-7\cdot(y-2)) = 0\\
- (0.63^2x+2.35)^6-2\cdot(0.63^2x+2.35)^3+1+(z^2+(y+1)^2-1)^3 = 0 \\
- ((x+2.55)^6+(y+1)^6+(z+0.459)^6-0.0009)\cdot((x+1.445)^6+(y+3.6)^6+(z+1.53)^6-0.005) = 0
Christmas Eve
Licence CC BY-NC-SA-3.0
Formula
- (0.15\cdot(x+1.2)^2+10y^2+3z^4-z^2+z)\cdot(0.12\cdot(x+1.2)^2+10y^2+3\cdot(z+0.8-(x+1.2)/5)^4-(z+0.8-(x+1.2)/5)^2+(z+0.8-(x+1.2)/5))\cdot(0.20\cdot(x+1.2)^2+10y^2+3\cdot(z-0.8+(x+1.2)/5)^4-(z-0.8+(x+1.2)/5)^2+(z-0.8+(x+1.2)/5))\cdot(0.45\cdot(x+1.2)^2+10y^2+3\cdot(z-1.3+(x+1.2)/2)^4-(z-1.3+(x+1.2)/2)^2+(z-1.3+(x+1.2)/2))\cdot(0.15\cdot(x+1.2)^2+10y^2+3\cdot(z+1.5-(x+1.2)/2)^4-(z+1.5-(x+1.2)/2)^2+(z+1.5-(x+1.2)/2))-20= 0 \\
- (0.15\cdot(y+3)^2+10\cdot(x-2)^2+3z^4-z^2+z)\cdot(0.12\cdot(y+3)^2+10\cdot(x-2)^2+3\cdot(z+0.8-(y+3)/5)^4-(z+0.8-(y+3)/5)^2+(z+0.8-(y+3)/5))\cdot(0.20\cdot(y+2.7)^2+10\cdot(x-2)^2+3\cdot(z-0.8+(y+3)/5)^4-(z-0.8+(y+3)/5)^2+(z-0.8+(y+3)/5))\cdot(0.45\cdot(y+3)^2+10\cdot(x-2)^2+3\cdot(z-1.3+(y+3)/2)^4-(z-1.3+(y+3)/2)^2+(z-1.3+(y+3)/2))\cdot(0.15\cdot(y+3)^2+10\cdot(x-2)^2+3\cdot(z+1.5-(y+3)/2)^4-(z+1.5-(y+3)/2)^2+(z+1.5-(y+3)/2))-20 = 0 \\
- ((x-2.3)^2+(y-0.7)^2+(z+3)^2-0.05)\cdot((3.5x-5.3)^2+(3.5y+0.5)^2+3.5\cdot(z+0.8)^3+(z+0.8)^4)\cdot(-1\cdot(1.5x-2.3)^2-(1.5y+0.2)^2+z+2.3)\cdot(((x-1.5)^2+(y+0.16)^2-1.86\cdot(z+5)^3+(z+5)^4))\cdot(((x-1.6)^2+y^2+(z-0.5-(x-1.6)/2)^2+a^2-b^2)^2-4b^2\cdot((x-1.6)^2+(y)^2))+0.8 = 0 \\
- ((1.2x-4-y+1.5)^2+(y-0.8)^2+(z-0.8)^2-0.3)\cdot((1.2x-3.5-y+1.35)^2+(y-1)^2+(z-0.8)^2-0.3) = 0 \\
- (2\cdot(x-2.7)^2+2\cdot(y-0.8)^2-(z+1.7)^3+(z+1.7)^4)\cdot(40\cdot(x-2.7)^2+40\cdot(y-0.8)^2+(z)^2-1)-0.005 = 0 \\
Engel
Licence CC BY-NC-SA-3.0
Formula
- ((1.5x^2+0.5y^2-(z+0.9)^3\cdot (1-z-0.9))\cdot(0.5x^2+1.5y^2-(z+0.9)^3\cdot(1-z-0.9))-0.000001)\cdot(x^2+y^2+(5z-0.4)^2-0.8)-0.00001 = 0 \\
- (x^2+y^2+4\cdot(z-0.7)^6-1)\cdot(0.08x^2+0.08y^2-(z-0.5)^3\cdot(1-z+0.5))-0.001 = 0 \\
- 1.1x^2+1.1y^2+(7z-9)^5-2.4 = 0 \\
- ((x+0.7)^2+y^2+(1.5z+0.05)^2-0.01) \cdot {((x-0.71)^2+(y-0.2)^2+(1.5z+0.05)^2-0.007)} \cdot(x^2+(y+0.8)^2+(1.5z+0.05)^2-0.006) \cdot{((x-0.1)^2+(y-0.6)^2+(1.5z+0.05)^2-0.006)} \cdot{((x+0.6)^2+(y+0.4)^2+(1.5z+0.05)^2-0.002)} \cdot((x-0.4)^2+(y+0.35)^2+(z+0.05)^2-0.0035) = 0 \\
Dessert
Licence CC BY-NC-SA-3.0
Formula
- (((0.7x)^2+(0.7y)^2-(0.53z-0.2)^3\cdot(1-0.6z+0.2))\cdot(x^2+y^2+(z-0.2)^2-0.1)-0.001)\cdot(1.2x^2+1.2y^2+(5z-9.6)^6-0.4)\cdot(x^2+y^2+(15z-10)^6-0.08)-0.005= 0 \\
- x^6+y^6+(10z-21)^6-1 = 0 \\
- ((50x^2+50y^2+5\cdot(z+0.26)^2+2)^2-9\cdot(50x^2+50y^2)) \cdot((z+0.31)^2+x^2-0.000000001)\cdot((z+0.31)^2+y^2-0.000000001)+0.0015 = 0 \\
Chess Piece
Licence CC BY-NC-SA-3.0
Formula
- 0 = ((11*x^2+11*y^2+z^2+1.413^2-1)^2-4*(11*x^2+11*y^2))*(7*(y)^2+7*(z)^2-0.01+0.07*(x+0.24)^6)-0.001
- 0 = (8700*(x+0.63)^6+500*(y+0.1)^6+900000*(z)^6-0.001)
- 0 = (999*(x+0.70)^6+999999*(y+0.04)^6+900000*(z)^6-0.001)
- 0 = (99999*(x+0.78)^6+9000*(y+0.06)^6+900000*(z)^6-0.001)
- 0 = ((350*x^2+350*(y+0.085)^2+350*z^2+2)^2-9*(350*(y+0.085)^2+350*x^2)-50*(y+0.085))*((350*x^2+350*(y-0.085)^2+350*z^2+2)^2-9*(350*(y-0.085)^2+350*x^2)+50*(y-0.085))-80
Key
Licence CC BY-NC-SA-3.0
Formula
- 0 = ((x^2+y^2+(0.5*z-0.6)^2-2)^2+(0.1*z-0.2))*(11*x^2+11*y^2+0.05*(z+4)^5-0.09)-1
- 0 = ((5*x+3)^6+(y-1.5)^2+(z-2)^2-1)*((y-1.5)^2+(x+0.5)^2-0.00000001)*((z-2)^2+(x+0.5)^2-0.00000001)*((y-1*z+0.6)^2+(x+0.5)^2-0.00000001)*((y+z-3.2)^2+(x+0.5)^2-0.00000001)+0.0002
- 0 = (x^2+y^2+(0.6*z-0.6)^2-2)*(x^2+y^2+(z-1.99)^6-2)+0.37
- 0 = ((x)^6+(y)^6+(z+0.7)^6-0.01)*((0.5*x+z)^6+(y)^6+(0.5*z-1*x-0.7)^6-0.01)
- 0 = ((0.5*x-1*z+1)^6+(y)^6+(0.5*z+x-0.6)^6-0.01)*((0.5*x+y+0.1)^6+(0.5*y-1*x+0.59)^6+(z-0.1)^6-0.01)
Cocktail
Licence CC BY-NC-SA-3.0
Formula
- 0 = ((3.4*x^2+3.4*y^2+1.1*(z+0.3)^2+0.15)^2-4*(x^2+y^2))*(1.5*x^2+1.5*(y-0.1)^2+(0.6*z-0.2)^2-0.1)*(x^2+(y+0.1)^2+(z-1)^2-0.01)-0.03
- 0 = ((2.3*x)^2+(2.3*y)^2+(1.5*z+1)^3*(1+1.5*z+1)-0.1)*(x^2+(y+0.1)^2+(1.2*z+1.6)^2-0.05)*(x^2+(y+0.2)^2+(z+0.4)^2-0.01)-0.007
- 0 = ((x-0.2)^2+(y)^2+(z-0.8)^2-0.01)*((x-0.13)^2+(y-0.3)^2+(z-0.3)^2-0.02)*((x-0.35)^2+(y+0.1)^2+(z-0.05)^2-0.015)*((x-0.2)^2+(y-0.4)^2+(z+0.3)^2-0.01)*((x-0.37)^2+(y+0.27)^2+(z+0.48)^2-0.005)
- 0 = (x^2+(y-0.45)^2+(1.1*z+1.2)^2-0.08)*((x)^2+(y-0.6)^2+(z+1.5)^2-0.007)+0.003
- 0 = (2.2*x)^2+(2.2*y-1)^2+(2*z+2)^3*(1+2*z+2)+0.001
- 0 = ((x-0.1)^2+(y-0.6)^2+(z+0.965)^2-0.005)*((x-0.17)^2+(y-0.34)^2+(z+1.1)^2-0.005)*((x-0.08)^2+(y-0.365)^2+(z+0.92)^2-0.005)*((x-0.162)^2+(y-0.53)^2+(z+1.12)^2-0.005)
Fly Agarics
Licence CC BY-NC-SA-3.0
Formula
- 0 = ((x^2+y^2+(1.05*z)^3*(1+z))*(100*x^2+(z+1)^2-0.00001)*(100*y^2+(z+1)^2-0.00001)+0.01)*(x^2+y^2+(z+1)^2-0.04)+0.0015
- 0 = ((4*x^2+4*y^2+1.2*(2*z)^3*(1+2*z))*(x^2+y^2+(z-0.2)^6-0.002)-0.00001)*((x)^2+(y-1*z+0.5)^2+(0.3*z-0.2)^6-0.005)*((x-0.3)^6+(y-0.2+0.4*x)^2+(z-0.7)^2-0.002)
Cherry Blossom
Licence CC BY-NC-SA-3.0
Formula
- 0 = (((0.9*x)^2+(0.9*y)^2-1*z^3*(1-1*z))*((0.9*y)^2+(0.2*z-0.18)^2-0.000001)*((0.9*x)^2+(0.2*z-0.18)^2-0.000001)+0.000011)*(((3.5*x)^2+(3.5*y)^2-(z+0.5)^3*(1-1*z-0.5)))-0.000001
- 0 = ((x^2+y^2-15*(0.5*z+0.9)^3*(1-0.03*z-1))*((7.5*x^2+7.5*y^2+3*(z+0.2)^2)^2-4*(x^2+y^2))-0.01)*(5*x^2+5*y^2+5*(z-0.18)^2-0.001)+0.001
Karotte
Formula
- 0 = ((x^2+y^2+0.2*z^2)^2-(x^2+y^2))*((x-0.55-0.05*(1.1*z+1.75))^2+y^2+(1.1*z+1.75)^2-2.3)-0.5
- 0 = ((x-0.3*(z-1.5)-0.1)^2+(y)^2+0.1*(z-1.5)^6-0.006)*((x-0.4)^2+(y)^2+(z-2)^2-0.03)-0.001
Pear
Licence CC BY-NC-SA-3.0
Formula
- 0 = ((((0.05*x^3+9*z)^2+20*y^2-1)*((0.05*(x)^3+9*(z+5+0.6*x))^2+20*y^2-1)-300)*((x+10.8)^2+(y)^2+(z-7)^2-1)*((x-10)^2+y^2+(z+3)^2-2)*((x-6.5)^2+y^2+(z+8)^2-2))+850000000
- 0 = ((0.4*(x-5)^2+0.8*(y)^2+0.8*(z+0.3)^2)^2-4*((y)^2+(z+0.3)^2))*((x-6)^2+y^2+(z+0.3)^2-4)-2
Cherries
Licence CC BY-NC-SA-3.0
Formula
- 0 = ((3*x^2+(y-1.9)^2+(2*z)^2-1)^2+(0.2*z))*(((((0.8*z+1.2)^3+(5*y-6))^2+(4*x)^2-0.5)*((x)^2+(y+6)^2+(z-2.8)^2-0.3)*((x)^2+(y-1)^2+(z+3.3)^2-0.03)+290)*(9*x^2+(y-0.1*z+2.5)^2+(4*z-5+y)^2-1)-400)-99
Spoon
Formula
- 0 = a*((-1*y+4)^3-8)^3-1*a*(x^2+z^2-1)^8+64
- 0 = (z^2)+x^2-10+((3*y-7)^5)
- 0 = ((x-3)^2+6*(x-3)+9+(y+2)^2-2*(y+2)*(z+1.1-1*y*1.2)^2+(z+1.1-1*y*1.2)^4-0.89*c+c*(b/2)*(x-3)-2*b*c+b*(y+2.3)+(c/3)*(z+1.1-1*y*1.7)+1.1*b)
- 0 = z^2+x^2+(y+2.7)^4+5*(y+2.7)^3+6*(y+2.7)^2-4*(y+2.7)-8
- 0 = x^2+y^2+z^2-1
- 0 = ((x-2.4)^2+(y+3)^2+(z+0.9)^2-0.1)*((x-1)^2+(y+3)^2+(z-2.3)^2-0.08)*((x+1)^2+(y+3.8)^2+(z-1)^2-0.06)*((x+1)^2+(y+3.3)^2+(z+1.8)^2-0.2)
- 0 = ((x+2.7)^2+(y-2)^2+(z-1.3)^2-0.09)*((x-0.1)^2+(y-2.5)^2+(z-2.2)^2-0.2)
Tasse
Licence CC BY-NC-SA-3.0
