The Generator allows reverse engineering.
Given a point or a line, the generator is able to create applications such that the point or the line is the intersection of some line(s) and/or plane(s).

Step 1. Enter the Point: (Use integers)

x =
y =
z =

Step 2. Choose The Intersection type : (Line-Line, Line-Plane, or Plane-Plane-Plane Intersection)

Step 3. Choose the Depth of Looking for Examples
If depth is larger, more examples are generated.
Recommended values are 2 and 3. (If depth is 2, more than 100 examples are generated)
Going beyond 3 will make your browser very slow (because thousands of examples are generated)

Depth =

Step 4. Click on the button below to see possible examples.

Step 1.Enter the Line:
A point on the Line: (Use integers)

x0 =
y0 =
z0 =

A direction vector: (Use integers)

ux =
uy =
uz =

Step 2. Choose the Depth of Looking for Examples
If depth is larger, more examples are generated.
Recommended values are 2 and 3. (If depth is 2, more than 100 examples are generated)
Going beyond 3 will make your browser very slow (because thousands of examples are generated)

Depth =

Step 3. Click on the button below to see possible examples.