# creatine sequence of trianles.

rsingkhuwal4445 shared this question 1 year ago

I wanted to get sequence of triangles formed by joining the mid points of sides of the triangles. how to do that?

Suppose your initial triangle is t1 and n is an integer slider then try

IterationList(Polygon(Midpoint(Element({Vertex(T)}, 1), Element({Vertex(T)}, 2)), Midpoint(Element({Vertex(T)}, 2), Element({Vertex(T)}, 3)), Midpoint(Element({Vertex(T)}, 3), Element({Vertex(T)}, 1))), T, {t1}, n)

2

For example like this:

```n = 5
T_0 = Polygon((1, 1), (7, 2), (4, 5))
IterationList(Polygon(Midpoint(Vertex(T, 1), Vertex(T, 2)), Midpoint(Vertex(T, 2), Vertex(T, 3)), Midpoint(Vertex(T, 3), Vertex(T, 1))), T, {T_0}, n)```

1

Thank you sir

1

Suppose your initial triangle is t1 and n is an integer slider then try

IterationList(Polygon(Midpoint(Element({Vertex(T)}, 1), Element({Vertex(T)}, 2)), Midpoint(Element({Vertex(T)}, 2), Element({Vertex(T)}, 3)), Midpoint(Element({Vertex(T)}, 3), Element({Vertex(T)}, 1))), T, {t1}, n)

1

Thank you sir