Answer by iso for Visualizing the 4th dimension.
I view time as 4th dimension. 4th dimension would be 3D object's state in time. Time is only 1 straight line logically, but what if you let time also have vertical and horizontal axis? then that's 5th...
View ArticleAnswer by badjohn for Visualizing the 4th dimension.
Another way to visualize a 4D object is to imagine it passing through our 3D space. First consider a flatlander (an inhabitant of an imaginary 2D universe). If you were to push a sphere through his 2D...
View ArticleAnswer by Joel Coehoorn for Visualizing the 4th dimension.
I can visualize 4 dimensions and beyond with ASCII art:1-D:------2-D:+----+| || |+----+3-D:+----+ / /|+----+ || | +| |/+----+4-D:+----+----+----+ / / / /|+----+----+----+ || | | | +...| | |...
View ArticleAnswer by Andrew D. Hwang for Visualizing the 4th dimension.
The animations below accompany an introductory talk on high-dimensional geometry.Mathematically, the second was made by putting a "light source" at a point $(0, 0, 0, h)$ (with $h > 0$) and sending...
View ArticleAnswer by Yves Daoust for Visualizing the 4th dimension.
The shadow of a cube is its projection on a plane. It is made of the shadows of the six faces, each giving a quadrilateral. As the face shadows overlap each other and merge, all you see is a...
View ArticleAnswer by Glougloubarbaki for Visualizing the 4th dimension.
From a mathematical perspective, what your professor called a shadow is a projection. Think of a surface $S$ lying in a 3D ambiant space with coordinates $(x,y,z)$. If you put a screen on the plane...
View ArticleAnswer by M. Winter for Visualizing the 4th dimension.
First things first: your brain is simply not made to visualize anything higher than three spacial dimensions geometrically. All we can do is using tricks an analogies, and of course, the vast power of...
View ArticleVisualizing the 4th dimension.
In a freshers lecture of 3-D geometry, our teacher said that 3-D objects can be viewed as projections of 4-D objects. How does this helps us visualize 4-D objects?I searched that we can at least see...
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