Here I want to show a series of graphic objects of different space dimensions.
Each graphic object of the current space dimension is the result of the intersection of a graphic object of a higher space dimension with some panel except a 5D graphic object.
First I create a 5D graphic object on the canvas under the 5D heading.
Then I intersect this object with a 4D panel.
Then I transfer the result of the intersection to the canvas under the 4D heading, cross it with a 3D panel.
I repeat this up to the canvas under the heading 0D.
5D.
Here I am creating an 5D object.
Unfortunately, it is not possible to render the 5D object in our 3D space. Instead, you can see on the canvas below a projection of all the vertices of the 5D objects to 3D space.
Also I intersected the 5D object with the 4D panel. You can't to see 4D panel because I can't render the 4D panel because it's 4D space.
The result of the intersection is a 4D object if the 5D object intersects the 4D panel.
Currenty I have created 5D version of pentatope. You can see it as green lines.
I get a 4D object as a result of the intersection of a 5D version of pentatope with the 4D panel.
You can see it as white lines.
4D.
Here I am creating an 4D object.
Unfortunately, it is not possible to render the 4D object in our 3D space. Instead, you can see on the canvas below a projection of all the vertices of the 4D objects to 3D space.
Also I intersected the 4D object with the 3D panel. You can't to see 3D panel because I can't render the 3D panel because it's 3D space and fills the entire canvas.
The result of the intersection is a 3D object if the 4D object intersects the 3D panel.
Currenty I have created pentatope or tesseract as 4D object. You can see it as green lines.
I get a 3D object as a result of the intersection of 4D object with the 3D panel.
You can see it as white lines.
4D Object:
.
3D.
Click the "►" button in the lower left corner of the canvas to intersect the blue panel with the green 3D graphic object.
You can see a white loop line if the blue panel in 3D canvas intersects with the green 3D graphic object.
Currenty I have created pyramid or cube as 3D object.
Real panel is surface with infinite length and width. But I have limited it to axes dimentions.
3D Object:
.
2D.
You can see a green loop line if the blue panel in 3D canvas intersects with the green graphic object.
The intersection panel in 2D space is infinity horozontal line. You can see the panel on the 2D canvas as a blue line.
I have limited it to axis dimention.
You can see a white horizontal line if the panel in 2D canvas intersects with the green graphic object.
Click the "►" button in the lower left corner of the canvas to intersect the blue line with the green graphic object.
2D Object:
.
.
1D.
You can see a green horizontal line if the blue line in 2D canvas intersects with the green graphic object.
The intersection panel in 1D space is a point. You can see the panel on the 1D canvas as a blue point.
You can see a white point if the panel intersects with the green line.
Click the "►" button in the lower left corner of the canvas to intersect the blue point with the green line.
0D.
You can see a green point in the center of 0D canvas if the blue point in 1D canvas intersects with the green line.