Aggregate relations between geometric figures, a fundamental concept in mathematics and geometry, the
By calculating relationships such as intersection and concurrency of different shapes (e.g., circles, rectangles, triangles, etc.), it is possible to realize complex graphic processing and visual effects.
manimIt is provided in the4 typesA module to compute aggregate relationships between geometric shapes:
-
Difference: fromShape ASubtract fromShape Bintersection -
Exclusion: MinusShape Acap (a poem)Shape BIntersecting parts, retaining different parts -
Intersection: Preserve the intersection between all shapes -
Union: Preserve the concatenation of all shapes
1. Main parameters
DifferenceThe main parameters are:
| Parameter name | typology | clarification |
|---|---|---|
| subject | VMobject | Primary display geometry |
| clip | VMobject | Geometry used for cutting |
Differencethat is, willsubjectcap (a poem)clipThe intersecting parts are fromsubjectDelete from the list.
ExclusionThe main parameters are:
| Parameter name | typology | clarification |
|---|---|---|
| subject | VMobject | The first geometry |
| clip | VMobject | Second geometry |
Exclusionthat is, willsubjectcap (a poem)clipDelete the intersecting parts and keepsubjectcap (a poem)clipRemainder.
IntersectionThe main parameters are:
| Parameter name | typology | clarification |
|---|---|---|
| vmobjects | *VMobject | Can be passed in 2 or more geometries |
IntersectionIt is the part that preserves all geometry intersections.
If the parametervmobjectsAn error is reported if the number of geometries in a geometry is less than 2.
UnionThe main parameters are:
| Parameter name | typology | clarification |
|---|---|---|
| vmobjects | *VMobject | Can be passed in 2 or more geometries |
Unionis the part that preserves all the geometry together.
If the parametervmobjectsAn error is reported if the number of geometries in a geometry is less than 2.
2. Examples of use
manim provides a collection of relational modules that greatly simplify the writing of code.
2.1 Difference Example
subject = Square()
clip = Circle()
Difference(subject, clip)
2.2 Exclusion Example
subject = Square()
clip = Circle()
Exclusion(subject, clip)
2.3. Intersection example
subject = Square()
clip = Circle()
Intersection(subject, clip)
2.4 Union example
subject = Square()
clip = Circle()
Union(subject, clip)
3. Annexes
The complete code for the article is on a web disk (bool_ops.py），
Download at.Full Code (Access code: 6872)