Q: What fractal is created when each triangle has an upside down similar triangle removed from its middle which created three smaller triangles similar to the original?

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This is known as the Sierpinski triangle.

Sierpinski Gasket

It is a fractal.

The Sierpinski triangle (also with the original orthography SierpiÅ„ski), also called the Sierpinski gasket or the Sierpinski Sieve, is a fractal and attractive fixed set named after the Polish mathematician WacÅ‚aw SierpiÅ„ski who described it in 1915.

Cantor Dust

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This is known as the Sierpinski triangle.

Sierpinski Gasket

The Sierpinski triangle is a fractal (named after Waclaw Sierpinski).The base state for this fractal is a single triangle. Pick one of the vertices on the triangle and define that vertex as "pointing up" (this helps when describing the fractal without pictures).Upon each iteration, take each triangle which is pointing up and inscribe an inverted triangle inside of it. The new triangle should have one vertex at the midpoint of each of the sides of the triangle it is in. This will effectively divide the original triangle into four equally sized triangles, three of which are oriented the same way as the original (they point up), and one of which is inverted (points down).See the related links section for a graphical view of this fractal, as well as detail about the math behind it.

No.

It is a fractal.

The wheel of Theodorus can go on indefinitely, as it is a geometric construction that creates a series of right triangles with decreasing side lengths. Each new triangle is created by adding a hypotenuse to the previous right triangle. The pattern continues, generating a sequence of triangles without an end point.

No, it is not.

Fractal Records was created in 1994.

The Fractal Prince was created in 2012.

Fractal Analytics was created in 2000.

Ultra Fractal was created in 2006-05.

The Fractal Geometry of Nature was created in 1982.