First Fractals

The first fractal I want to print is the Koch Snowflake. According to Wikipedia, the Koch Snowflake is a mathematical curve and one of the earliest fractal curves to have been described. It is based on the Koch Curve which appeared in a 1904 paper titled […]

For my first fractal, I would love to try printing a Sierpinski Carpet. Not only am I beginner on the front of 3D printing, but I am also very fascinated by minimalist design. Illustrative Mathematics states that this is a fractal whose area is zero, […]

The first fractal I want to print is the Quaternion Julia fractal. According to an website written by Paul Bourke: “A quaternion has two more complex components and might be written as q = r + a i + b j + c k where r, […]

I would like to print the Octahedron for my first fractal print. This fractal design is very detailed and complex which is why I thought this would be very interesting to print. According to Wikipedia, the Octahedron flake is formed by successive flakes of six […]

For my fractal, I have chosen the Sierpinski Triangle. According to a Wikipedia article, Wacław Sierpiński first described his self named triangle in 1915; however, the same article also notes that this fractal can be seen in designs dating back to the thirteenth century. The article described […]

The fractal I have decided to print and analyze first is called the Logarithmic Spiral. This fractal is related to the golden ratio, Fibonacci numbers, and is sometimes referred to as the golden spiral. According to the Wiki I found, The logarithmic spiral was first […]

For my first fractal I would like to print a Sierpinski Triangle because of how neat the concept is. It’s so cool that just repeating a simple shape can create such a complex, beautiful design. According to Wikipedia, Sierpinski Triangle was discovered by Waclaw Sierpinski […]

The fractal I chose to print is the Barnsley Fern. I love how simple this object is from afar and how intricate it gets when you really look at it. I believe this is a fractal because it can be constructed by a pattern of […]

The first fractal I would like to print is called the Wave Fractal. On Thingiverse, GKindl posted a model of the Wave Fractal. It caught my eye because I love the ocean and waves are so majestic. According to Gkindl, the fractal was created by […]

The fractal I am choosing to print is called the Hilbert Curve. According to the post on MathWorld, it was first described by David Hilbert in 1891. This curve is a variation of the Peano-curves created by Giuseppe Peano in 1890. This is a space-filling […]

According to Wikipedia the Menger Sponge is a 3 Dimensional fractal curve. It  was first described by Karl Menger in 1926. To create a Menger Sponge you start with a cube. The face of a Menger Sponge is a Sierpinski carpet, a 2 dimensional fractal. Every […]

The fractal I choose to be my first print is the Sierpinski Triangle. I choose this because the second phase of the Sierpinski triangle of this fractal represents the Triforce from the award-winning video game series, The Legend of Zelda. This Wikipedia article explains that […]

According to Wikipedia, a fractal is a curve or geometric figure which has the same statistical character as the whole.  The definition goes further, calling on the snowflake as a primary example of what a fractal is, because similar patterns recur at progressively smaller scales. […]

The first fractal I want to print is Sixfold Koch. I like this fractal, the mathematical  expression of sixfold is excatly what I was looking for. Accoriding to Thingiverse, it was created by pmoews in 2013. Its name was created by his basic shape. I […]

The first fractal I want to print is called the Pythagoras Tree. I love nature, so when I saw a mathematical expression of a tree I was intrigued. According to Wikipedia, it was created by Albert E. Bosman in 1942. Its name was derived from the Greek mathematician Pythagoras because […]

My first fractal I want to print is the Gosper Curve. This is a space-filling fractal that is also known by the name “flowsnake” as a twist on the word snowflake. Similar to the dragon curve, the Gosper Curve is a fractal because it is […]

The fractal model I found that I would like to print is the Sierpinski Carpet.  According to this Wikipedia article, this fractal is made by taking a shape, dividing it into smaller copies of the same shape, taking away some of the copies, and continuing.  […]

My first fractal that I would like to print is called the Spiral cube. I was very interested in this shape because it combines the square and spiral. There is the link from Wikipedia Here is a structured picture of the Spiral cube and it comes from Izabela […]

My first fractal I would like to print is called Hilbert Curve Coasters. The reason why I would like to print this one is that it is based on the Hilbert Curve. According to Wikipedia, Hilbert Curve is also known as Hilbert Space-filling Curve. I […]

My first Fractal that I would like to print is called the Vicsek Fractal. This fractal actually arose from the Sierpinski Carpet while also using the Hausdorff dimension. One reason as to why it is based off of the Sierpinski Carpet is because the initial […]

Above is the Fractal, the Sierpinski Carpet (abbreviated “carpet”). According to a Wikipedia article here, the carpet is one generalization of the cantor set to two dimensions, similar to the cantor dust (shown below). While I do not know what much of this means right […]

The very first fractal that I would like to print is called the Hexagonal fractal, and it is also known as the honeycomb fractal. There are actually different versions of the hexagonal fractal, however this particular one fascinates me the most because of its form […]

For my first fractal print, I am choosing the Sierpinski triangle. This fractal struck my interest because it creates a “tribal-like” pattern with its repeating elements. The closer you look at this triangle, the more intricate it gets! A fractal is something that contains recurring […]

The first fractal I want to print is the Koch Snowflake. According to fractal.org, in an article by Edyta Patrzelk, in order to create a Koch Snowflake, you must begin with an equilateral triangle. It claims the length of the boundary is 3 x 4/3 x […]

The first fractal I want to print is the Mandelbrot Set. According to Wikipedia, the Mandelbrot set is defined using complex numbers, although I don’t yet quite understand exactly how. What I do know is that the Mandelbrot set has the interesting property that you […]