Surfer - Quaste surfaces
gallery
Surfer - Quaste surfaces
This gallery contains mathematical figures created with Surfer and reassembled in various graphic applications. Mathematical visualization is an extraordinary source of inspiration as well as the basis of intriguing visual poetry when one knows where to look.
The definition of a quaste can be found in the Surfer program, fantasy surfaces. The formulas copied under the images allow reproducing the original image I used in each composition – minus the x- y- z rotation - which is left to the viewer creativity.
Formula
- z - 1.50 x 0*z^3-5*x^8*z^13-24*y^2*z^6+36*z^8+24*x^4*z^3-168*x^2*y^2*z^3+24*y^4*z^3-72*x^2*z^5-72*y^2*z^5+54*z^7-8*x^6-24*x^4*y^2-24*x^2*y^4-8*y^6+36*x^4*z^2-252*x^2*y^2*z^2+36*y^4*z^2-54*x^2*z^4-108*y^2*z^4+27*z^6-108*x^2*y^2*z+54*y^4*z-54*y^2*z^3+27*y^4
Formula
- z - 0.77 x 8*z^9-24*x^2*z^6-24*y^2*z^6+36*z^8+24*x^4*z^3-168*x^2*y^2*z^3+24*y^4*z^3-72*x^2*z^5-72*y^2*z^5+54*z^7-8*x^6-24*x^4*y^2-24*x^2*y^4-8*y^6+36*x^4*z^2-252*x^2*y^2*z^2+36*y^4*z^2-54*x^2*z^4-108*y^2*z^4+27*z^6-108*x^2*y^2*z+54*y^4*z-54*y^2*z^3+27*y^4
Formula
- z-0.31 x 8*z^9-24*x^2*z^6-24*y^2*z^6+36*z^8+24*x^4*z^3-168*x^2*y^2*z^3+24*y^4*z^3-72*x^2*z^5-72*y^2*z^5+54*z^7-8*x^6-24*x^4*y^2-24*x^2*y^4-8*y^6+36*x^4*z^2-252*x^2*y^2*z^2+36*y^4*z^2-54*x^2*z^4-108*y^2*z
Formula
- z- 0.31x 8*z^9-24*x^2*z^6-24*y^2*z^6+36*z^8+24*x^4*z^3-168*x^2*y^2*z^3+24*y^4*z^3-72*x^2*z^5-72*y^2*z^5+54*z^7-8*x^6-24*x^4*y^2-24*x^2*y^4-8*y^6+36*x^4*z^2-252*x^2*y^2*z^2+36*y^4*z^2-54*x^2*z^4-108*y^2*z
Orientalism
Inverted quaste surfaces on a spiral & double sphere composition.
Licence CC BY-NC-SA-3.0
Formula
- z - 0.80 x 8*z^9-24*x^2*z^6-24*y^2*z^6+36*z^8+24*x^4*z^3-168*x^2*y^2*z^3+24*y^4*z^3-72*x^2*z^5-72*y^2*z^5+54*z^7-8*x^6-24*x^4*y^2-24*x^2*y^4-8*y^6+36*x^4*z^2-252*x^2*y^2*z^2+36*y^4*z^2-54*x^2*z^4-108*y^2*z^4+27*z^6-108*x^2*y^2*z+54*y^4*z-54*y^2*z^3+27*y^4
Ceci n'est pas une moustache
A quaste surface set in a classic artist studio setting. Onspired by Magritte painting - ceci n’est pas une pipe.
Licence CC BY-NC-SA-3.0