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In the beginning of the four variables algebraic equations research two problems were faced. Having more variables thenequations in the equations set for visualization is the first one. Having several roots ofthe color equation which should beshown by one color value is the second one. In the given article results of solving these problems are represented. Dif-ferent methods of setting relation between colour equation roots and colour in the point are esteemed. Examples of col-ouring the algebraic surfaces by adding a forth variable to its equation, examples ofpainted surfaces as well.Keywords: algebraic surface, colouring, computer graphic, texture 1. ADDING THE FORTH VARIABLE TO ALGEBRAIC SURFACE EQUATION The algebraic surface in our case is an N-degree polynomial. We added one more variable to the equation. This variableis a colour in some points of the surface. It may be other property of the surface. Functional dependence between shapeand a property (the fourth variable) can be different |