Today we keep going… more presentations, more nitpicky blog requirements, and we’ll slow down to make sure we have the math right. See the Timeline post from last class for details. NOTE: Final section of your blog post should now be called “How to Find […]
// Roundup // According to the Assignments page, by today’s class your Tinkercad Fractal post should be completed, with all formatting and content in line with the assignment guidelines. This week we’ll have final presentations for this project, and work on shoring up the math […]
Today we’ll work on finishing up the math for your blog posts; here’s the rundown: Quick reading quiz Help with length/area/volume calculations and fractal post (see my comments) Fractal dimension with the 3Blue1Brown fractal dimension video We’ll review some of what we watched last time (starting […]
For our first fractal we wanted to start with the shape of a pyramid. The first pyramid is 30x30x30. To start we shift a copy of the pyramid up by 2. From there all of the dimensions are decreased by 2 mm and tilted by 22.5 […]
// Roundup // According to the Assignments page, by today’s class you should have fixed any issues with your Tinkercad Fractal blog post, and added a new section documenting your first draft 3D print. // Today in class // If you have prints to send […]
For our first design, we wanted to go with something that was simple to create but flexible to expand on. As of now, our design is made up of different sized shape of gears. We started off with the center gear being 60×60 and then […]
Originally, we were thinking about doing a chain fractal based off of doughnut-shaped tubes, but we got inspired by the spiral cube fractal made in class. So once we had found a preset object that included a literal ring of cubes […]
The repetition is by half the dimensions of the previous base. (Ex: Base 3 is half the length, width, and height of Base 2). Each increased base is then halted and so on. This makes it a fractal because it is a duplicate and a scaled […]
Today we’ll continue with the Tinkercad Fractals project, and iterate on your first draft designs. If your designs are well-defined fractals then you’ll print them in class; if not then you’ll redo them and print after class. Discuss the following with your group members: Is […]
For our first design, our group wanted to do something simple but interesting. At first, we weren’t sure what to create so we got some inspiration by looking up some random and funny things on google. We ended up finding an image that had a bunch of smiley faces which […]
For our very first design, we were inspired by some mandala pictures that we found, and they resembled fractals because a mandala is just several levels of rings with different self-similar designs in each ring. We wanted to construct it in a way that it would look original […]
After studying fractals in class for the past few weeks, our group decided to try to make our own. In making our fractal we decided to go for a sunflower type shape with a hollow center, where the image repeats by halving its size […]
We created a circular fractal for this assignment. None of us had ever seen anything like this, so we thought it would be perfect to experiment with and present to the class. This design is a fractal because it is simply a repeating […]
// Roundup // According to the Assignments page, by this morning you should have read the first part of the Fractals book and added a section to your First Fractals blog post about your printed fractal. The few of you who have not yet printed […]
We decided to make a simple Minecraft Creeper fractal for the purposes of this example post, but you should try to think outside the box and consider many different ways of generating a fractal to come up with your own unique design. Your assignment is to create a new fractal […]
Today in class we’ll continue where we left off on Tuesday, which means that we’ll be 3D printing the remaining First Fractals and discussing the corresponding blog post writeups. Maybe if we have time we’ll watch this video to get a quick overview of how the […]
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, […]
// Roundup // According to the Assignments list, by class time today you should all be done with your Hello and First Fractal blog posts. Last week we talked about the Dragon Curve; if you missed any of that discussion then read last week’s Timeline posts […]
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 […]
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