# manim.mobject.geometry.ArcPolygonFromArcs¶

class ArcPolygonFromArcs(*arcs, **kwargs)[source]

A generalized polygon allowing for points to be connected with arcs.

This version takes in pre-defined arcs to generate the arcpolygon and introduces little new syntax. However unlike Polygon it can’t be created with points directly.

For proper appearance the passed arcs should connect seamlessly: [a,b][b,c][c,a]

If there are any gaps between the arcs, those will be filled in with straight lines, which can be used deliberately for any straight sections. Arcs can also be passed as straight lines such as an arc initialized with angle=0.

Tip

Two instances of ArcPolygon can be transformed properly into one another as well. Be advised that any arc initialized with angle=0 will actually be a straight line, so if a straight section should seamlessly transform into an arced section or vice versa, initialize the straight section with a negligible angle instead (such as angle=0.0001).

There is an alternative version (ArcPolygon) that can be instantiated with points.

Parameters
arcs

The arcs used to initialize the ArcPolygonFromArcs:

>>> from manim import ArcPolygonFromArcs, Arc, ArcBetweenPoints
>>> ap = ArcPolygonFromArcs(Arc(), ArcBetweenPoints([1,0,0], [0,1,0]), Arc())
>>> ap.arcs
[Arc, ArcBetweenPoints, Arc]

Type

list

Examples

One example of an arcpolygon is the Reuleaux triangle. Instead of 3 straight lines connecting the outer points, a Reuleaux triangle has 3 arcs connecting those points, making a shape with constant width.

Passed arcs are stored as submobjects in the arcpolygon. This means that the arcs are changed along with the arcpolygon, for example when it’s shifted, and these arcs can be manipulated after the arcpolygon has been initialized.

Also both the arcs contained in an ArcPolygonFromArcs, as well as the arcpolygon itself are drawn, which affects draw time in Create for example. In most cases the arcs themselves don’t need to be drawn, in which case they can be passed as invisible.

Example: ArcPolygonExample

from manim import *

class ArcPolygonExample(Scene):
def construct(self):
arc_conf = {"stroke_width": 0}
poly_conf = {"stroke_width": 10, "stroke_color": BLUE,
"fill_opacity": 1, "color": PURPLE}
a = [-1, 0, 0]
b = [1, 0, 0]
c = [0, np.sqrt(3), 0]
arc0 = ArcBetweenPoints(a, b, radius=2, **arc_conf)
arc1 = ArcBetweenPoints(b, c, radius=2, **arc_conf)
arc2 = ArcBetweenPoints(c, a, radius=2, **arc_conf)
reuleaux_tri = ArcPolygonFromArcs(arc0, arc1, arc2, **poly_conf)
self.wait(2)


The arcpolygon itself can also be hidden so that instead only the contained arcs are drawn. This can be used to easily debug arcs or to highlight them.

Example: ArcPolygonExample2

from manim import *

class ArcPolygonExample2(Scene):
def construct(self):
arc_conf = {"stroke_width": 3, "stroke_color": BLUE,
"fill_opacity": 0.5, "color": GREEN}
poly_conf = {"color": None}
a = [-1, 0, 0]
b = [1, 0, 0]
c = [0, np.sqrt(3), 0]
arc0 = ArcBetweenPoints(a, b, radius=2, **arc_conf)
arc1 = ArcBetweenPoints(b, c, radius=2, **arc_conf)
arc2 = ArcBetweenPoints(c, a, radius=2, stroke_color=RED)
reuleaux_tri = ArcPolygonFromArcs(arc0, arc1, arc2, **poly_conf)

 animate Used to animate the application of a method. depth The depth of the mobject. height The height of the mobject. width The width of the mobject.