Originally Posted by

**mfetch22** I'm somewhat fimmilliar with what a fractal "looks" like, but I am not fimmiliar with the exact or precise mathematical definition of a fractal. Thats why I'm posting this question here to get some clarification. Would the following construction be considered a fractal?

[1] Draw a pentagon of any size.

[2] Inscribe a pentagram inside the pentagon such that its 5 vertices are shared by the pentagon's 5 vertices, i.e. they have the same set of vertices.

[3] In addition, consider the intersection of edges within the pentagram to be considered as vertices.

[4] This set of intersection vertices (and the edges that connect them) will create a new, smaller, "upside-down" pentagon within the original pentagon (formed by the pentagram of course).

[5] Within this pentagon create an "upside-down" pentagram just as described as in steps 2 and 3 (except that its upside down).

[6] Follow step 4 just as described, except take note that this newer pentagon will be "right-side-up".

[7] Repeat steps 1-7 using this newly constructed pentagon

I'm going to attach an image to this post of the geometrical construction I have described above. I'm not sure if it falls under the definition of a fractal, and thats why I'm asking here. Thanks in advance.