one man

Alexey Ivanov

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8 years, 347 days
Russian Federation

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The Möbius strip  Mobius_strip_rolling.mw

Variants :


The line and the curve on the surface.

 

Parametric equation of second-order curve in 3d. Draghilev method.
PLAN_CURVE_3d_1.mw
Examples:
x1^2+x1*x3+13*x2^2+x3-1=0;
x1+x2+x3=0;


 x1^2+0.1*x2^2+x3^2-9=0;
 x1+3*x3+1=0;


 x1^2-0.1*x2^2+x3^2-9=0;
 x1+3*x3+1=0;

Parametric equation of a circle in 3d by three points. Draghilev method.

CIRCLE_3_POINTS_geom3d_2.mw

One way is coloring a surface on both sides. We build equidistant surface with very small radius and stain the equidistant surface in color different from the color of the original surface.
Examples coloring of surfaces on both sides.  Radius equal to abs (0.0001).
x3-0.5*exp(sin(x1+2.5*x2+x3))=0;
(x1^2+x2^2-0.4)^2+(x3+sin(x1*x2+x3))^4-0.1=0;

2_COLORS.mw


     Parallel curves on surfaces. The distance between the points of the curves is measured along the curves of intersection of the surface and perpendicular planes.
     (According to tradition, it also does not make sense.)

equidistant_curve_surface_MP.mw

 









 

 

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