A fractal is a curve or geometric figure which parts’ have the same statistical characteristics as the whole. Fractals follow patterns or rules that recur at progressively larger or smaller scales. An iteration is one repetition of this rule, and fractals have many iterations or levels […]
Our group consisted of Haleigh Sink, Summer Xia, and Megan Shanian and we were assigned to present the classes fractal carpets. For our presentation, we showed everyone what fractal carpets are and all the ones that the class made for their individual projects. We decided […]
For the final class of the semester, Hugh and I did a presentation on the dragon curve at the showcase. We had examples of every level of the dragon curve from level one to level 12. We constructed levels six through 12 and drew out the first six levels of the curve […]
On Thursday, we had a great time presenting our cake cutting project to other students and professors at the showcase. We brought our prints to demonstrate how we created this unique way of cutting cake in a […]
We had a great experience showcasing our project about the trefoil knot to different students, classmates and professors. We brought our traced projections and some extra pictures of the trefoil knot to the showcase so that people would be able to visualize our object better. […]
On Thursday we had our class Showcase event. For our presentation, Emily and I focused on Hinged Dissections. To help people visualize Hinged Dissections, we had a few different displays. One of our displays had information on Rhombic Dodecahedron along with two 3-D printed […]
On Thursday, we had a ton of fun showing off our Rhombicuboctahedron open project off to those who came to the showcase. We had an opportunity to share our story of how we came to choose our object, and how we learned about polyhedral graph theory and its application […]
For the final showcase, Isabelle and I got the chance to show everyone our Borromean Rings project. To explain our project, we used pictures to show our initial ideas and models for our designs. We also had an interactive display using our detachable print and using a demonstration […]
Our final presentation was on Prince Rupert’s Cube. Essentially, the Prince Rupert problem was proposed by Prince Rupert of the Rhine, Prince Rupert’s cube is the largest cube that can pass through a hole cut through another cube without splitting the cube into […]
Today we meet in Roop Hall, room 103, for our final project showcase. Be there at 9:30 or earlier to set up, and make sure you have all your prints and materials with you. If you happen to want cake for breakfast, we’ll have that […]
During the showcase on Thursday, Hunter and I focused on showcasing the technical capabilities of the Meissner Tetrahedron. We mainly focused on its ability to spin 360 degrees without interruption. We printed six new Meissner tetrahedrons of equal size to demonstrate […]
Today you’ll all do a practice run of your presentations. Get set up and ready for me to come by and see a practice run. FYI, here’s the email I sent to the math department faculty/staff/students: On this Thursday morning from 9:45-10:45am, my MATH 103 […]
During the showcase on Thursday, Collin and I reprinted the pieces to better fit our demonstrations. We began by explaining the fundamental basis of the Pizza problem, having even pizza slices that don’t all touch the middle. Once we established the problem, we explained […]
Today’s quiz: Do you have your First Fractal, Tinkercad Fractal, and Carpet Fractal prints? Record it on the sheet that will be passed around, then give your prints to the corresponding groups (you’ll get them back next week). Keep working on presentations: Dragon Curve, Fractal […]
Welcome back! Today we’ll handle various administrative/grading issues, and start planning for final presentations next week. First: Grades and Revisions Hand out individual grade estimates In Open Project groups: Hand back grades, discuss revisions Stand up and meet in Tinkercad Fractal groups: Hand back grades, […]
First: Print stuff Anything need reprinting? If you can’t get the raft off, accidentally printed with a brim that is now stuck all around your fractal, or if a print doesn’t look great for some other reason, then print it again. Use the Ultimakers. If […]
Starting with 16 squares, I decided to remove 5; the four corner squares and a square on the inside. The coordinates removed are, (0,0), (4,0), (0,4), (4,4) and (1,1). Below, you can see how the total area for each box level (total, big, medium and small) is calculated. This is important to […]
I named my fractal the Space Invader because the white color and shape reminds me of the aliens from the classic arcade game Space Invaders. When designing this fractal carpet, I did not have any specific shape in mind, but I knew I wanted a symmetrical fractal […]
For this particular carpet fractal, I removed three sections (boxes) that are towards the middle of the square which are (2,1) (1,2) and (2,2) in order to create the first level of the fractal. The reason why I removed these sections was because I thought the fractal was unique and […]
The Railroad Track Carpet design was made by removing four blocks from level 1 with the coordinates [0,1], [3,1], [0,2], and [3,2]. Using the equation shown below we can calculate the surface area of each level even as […]
The Polka Dot Carpet Fractal was made by removing only one block from level one, which was coordinate (2,2). I only took out one block because I wanted to see how a simple design become more complicated going up each level. […]
When I created my fractal carpet, I removed squares: [0,1] [3,1 ] [1,3] [2,3]. I named my fractal the Fork Fractal because of the way that it splits off into two at the top. When the design moves up a level, it creates more little splits within the large […]
For my fractal, I removed the coordinates [0,0], [2,1], [1,2], and [3,3]. This created a shape that is symmetrical and that is why I like it. If you turn it a little, it looks like the number ‘8’ but with straight lines instead of curved ones. For this fractal, we assumed the area 16 units. Each large […]
The fractal that I designed, aka the Checkerboard Carpet Fractal, is a simple 4×4 square with 2 pieces removed. The two coordinates that were removed were (2,1) and (1,2). Length of one side is 4, overall shape for all […]
For my carpet fractal, I removed three squares for my level 1, which are (1,2), (2,2) and (1,3). The pictures below show from level 1 to level 3. It looks like an elephant nose of “L”. Below images are my prints of four levels. […]
To make my fractal I removed the four corners of the blank carpet. I removed the coordinates [0,0], [3,0], [0,3], and [3,3]. With each iteration the four corners of each square get removed. I designed my fractal this way because I wanted something neat and […]
First: Print stuff You should have all three levels of your personal carpet fractal printed. We’ll start with a quiz-check to reward those of you that have done so. If not, or if you have prints from the Afinia whose rafts did not separate well, […]
For this fractal, I removed 3 squares out of the 16 that we started with. I removed a corner square, a square in the middle and one on the bottom row. The coordinates removed are (0,1), (1,2), and (3,3). To be able to calculate the area, we had to use a specific formula and apply it to […]
The Film Fractal Carpet is made by removing four blocks, two opposing each other in pairs. The coordinates removed are (0,2), (0,3), (4,2), & (4,3). The sequence of pictures shows the sequence from level 1-3. Before any calculations are done, look at this sample to know where some […]
For my Fractal Carpet, I removed the four center coordinates – (1,1) (2,1) (1,2) and (2,2). This is what Level 1 of my Fractal Carpet looks like. The math for Level 1 is very simple. This Level has 16 equal units. I took out four. So 16 – 4 =12. The four in the center are the coordinates […]
In order to make my fractal, I removed the points: (1,1), (2,0) and (2,1). Removing these coordinates resulted in my fractal having an “L” shape pattern. In the second iteration of this fractal, the “L” shape attaches to the top of an upside down L, forming what look like dog ears. […]
To start with our carpet fractal, level 1 has 1 square removed from each of the corners creating a plus sign shape. When repeated for a level two, it creates a plus sign made of plus signs, and so on. To find the area, I took the area of the original […]
In my fractal, I removed 3 coordinates, [2,1], [0,2], and [2,2]. Before I removed squares in my fractal, there were 16 squares in total. For my level 1, I removed 3 squares, leaving 13 in the fractal. The area for level one is 13. For level 2, I multiplied the 13 remaining squares […]
This is a fractal because through each new level, the same thing is continuously done. In the case of my fractal, after each level each squares size is divided by 4, while also removing the the same points that would correspond in […]
I call this carpet fractal “Cupid’s” because the holes in the center and the overall outline of the carpet resemble hearts. I came up with the design simply by playing around with the template cells. I created this shape by indenting […]
I am calling this the snowflake carpet fractal because the higher the levels go for this fractal, the more it looks like a snowflake. To make my carpet I took out (0,0) and (3,3). Below is the equation I used to calculate the surface area of level 1, 2, and 3. […]
The Plaid Carpet design was made by removing four blocks from level 1 coordinates [0,0], [3,0], [0,3], and [3,3]. The surface area for level 1 would be the number of boxes removed, times the area of the big boxes, from the number of boxes that comprise the total area of the complete […]
My carpet fractal was created by removing the following coordinates: (2,0), (2,1), and (2,2). In Level 1, I am simply removing each coordinate that I had removed earlier, which each represent, for the sake of this post, a 1 ft^2 size square. So (2,0), (2,1), and (2,2) amount to […]
This is my fractal carpet. The total surface area is 4*4 that is 16, I remove 5 pieces of the total area that become 16-5=11. The following pictures is my different level of Fractal Carpet, the total area and my Level 1 fractal carpet, and the total area and my Level 3 fractal carpet. […]
I named my fractal the House Fractal because I think the removed squares resemble little tiny houses with chimneys on the roofs. To create this, I removed (0,1), (1,3), and (3,1). The surface area for level one would be 13 because we started out with 16 squares total, and I removed 3 […]
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