Moebius Strip 3D in asy
by Klaus-Anton, Aug 8, 2018, 1:36 PM
The code for the 3D Moebius Strip is borrowed from url.
![[asy]
import graph3;
size(200,IgnoreAspect);
size3(200,IgnoreAspect);
currentprojection=orthographic(camera=(1.5,0.3,2),up=Z,target=(0.5,0,0),zoom=0.8);
real r=2, w=1;
real x(real u, real v){return (r+v/2*cos(3pi*u))*cos(2pi*u);};
real y(real u, real v){return (r+v/2*cos(3pi*u))*sin(2pi*u);};
real z(real u, real v){return (v/2*sin(3pi*u));};
triple f(pair p){return (x(p.x,p.y),y(p.x,p.y),z(p.x,p.y));};
draw(surface(f,(0,-w),(1,w),nu=9,Spline),cyan);
[/asy]](//latex.artofproblemsolving.com/a/e/d/aedb42c05953a67950cbb40945b163480aed338a.png)
In his Inaugural Lecture at the university of Bonn (in Germany, in summer of the year 2017)
talks about ![$\textit{\raisebox{-7.0pt}[2.0pt][0pt]{"}Zahlen und Geometrie\kern-2.0pt\lq\lq}$](//latex.artofproblemsolving.com/3/7/3/3733a2596d5e93587155334fab0f095dd3999592.png)
(Numbers and Geometry), here the link, at time 18:59~h the helix. At time t=xy:zz h he there mentions the Moebius Strip. In his eys locally you always know where is upside and where is downside. But globally not. Once whole the way walked around you are arrived at the other side.
This mental presentation of the things has helped me as intuitive inspiration to bring me on the idea that you can imagine the relation between the consciousness and the subconsciousness with the Moebius Strip.
I said to me: "The subconsciousness is the consciousness of the night."
The thing / the things here are tricky. Upside and downside are changing in a smooth transformation. The Moebius Strip is seen as a plain with only one dimension. But there still is inside and outside.
What is the meaning here of globally? This as word contains the globe. What we are used for modelling the earth. It is a sphere. Think globally by imagining the whole Moebius Strip. - Or think globally or (extra-)globally by the imagination of the circumsphere of the Moebius Strip.
![[asy]
import graph3;
size(200,IgnoreAspect);
size3(200,IgnoreAspect);
currentprojection=orthographic(camera=(1.5,0.3,2),up=Z,target=(0.5,0,0),zoom=0.8);
real r=2, w=1;
real x(real u, real v){return (r+v/2*cos(3pi*u))*cos(2pi*u);};
real y(real u, real v){return (r+v/2*cos(3pi*u))*sin(2pi*u);};
real z(real u, real v){return (v/2*sin(3pi*u));};
triple f(pair p){return (x(p.x,p.y),y(p.x,p.y),z(p.x,p.y));};
draw(surface(f,(0,-w),(1,w),nu=9,Spline),cyan);
[/asy]](http://latex.artofproblemsolving.com/a/e/d/aedb42c05953a67950cbb40945b163480aed338a.png)
In his Inaugural Lecture at the university of Bonn (in Germany, in summer of the year 2017)
talks about ![$\textit{\raisebox{-7.0pt}[2.0pt][0pt]{"}Zahlen und Geometrie\kern-2.0pt\lq\lq}$](http://latex.artofproblemsolving.com/3/7/3/3733a2596d5e93587155334fab0f095dd3999592.png)
(Numbers and Geometry), here the link, at time 18:59~h the helix. At time t=xy:zz h he there mentions the Moebius Strip. In his eys locally you always know where is upside and where is downside. But globally not. Once whole the way walked around you are arrived at the other side.This mental presentation of the things has helped me as intuitive inspiration to bring me on the idea that you can imagine the relation between the consciousness and the subconsciousness with the Moebius Strip.
I said to me: "The subconsciousness is the consciousness of the night."
The thing / the things here are tricky. Upside and downside are changing in a smooth transformation. The Moebius Strip is seen as a plain with only one dimension. But there still is inside and outside.
What is the meaning here of globally? This as word contains the globe. What we are used for modelling the earth. It is a sphere. Think globally by imagining the whole Moebius Strip. - Or think globally or (extra-)globally by the imagination of the circumsphere of the Moebius Strip.
This post has been edited 4 times. Last edited by Klaus-Anton, Aug 16, 2018, 12:37 PM
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