### Crab Carpet Fractal

November 15, 2017

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 […]

November 15, 2017

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 […]

### Tetris Carpet Fractal

November 15, 2017

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 […]

November 15, 2017

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 […]

### Polka Dot Carpet Fractal

November 15, 2017

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. […]

### Fork Carpet Fractal

November 15, 2017

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 […]

### Funky 8 Carpet Fractal

November 14, 2017

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 […]

### Checkerboard Carpet Fractal

November 14, 2017

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 […]

### Elephant Nose Carpet Fractal

November 14, 2017

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. […]

### Four Corner Fractal Carpet

November 14, 2017

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 […]

### Window Fractal Carpet

November 14, 2017

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 […]

### Film Fractal Carpet

November 13, 2017

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 […]

### Centerless Carpet Fractal

November 13, 2017

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 […]

### Dog Ear Fractal

November 13, 2017

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. […]

### Plus Sign Carpet Fractal

November 13, 2017

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 […]

### Computer RAM Carpet Fractal

November 10, 2017

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 […]

### Ghost Carpet Fractal

November 10, 2017

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 […]

### Cupid’s Carpet Fractal

November 9, 2017

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 […]

### Snowflake Carpet Fractal

November 9, 2017

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 Fractal

November 9, 2017

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 […]

November 9, 2017

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 […]

### Supreme Fractal Carpet

November 9, 2017

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. […]

### House Fractal

November 9, 2017

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 […]

### Bird Fractal

November 9, 2017

I named my fractal the bird Fractal because I think the removed squares resemble little tiny bird. To create this , I removed (0,0), (1,1), (3,1), (1,3), and (3,3). The surface area for level one is 11 because we started out with 16 pieces total, and I removed 5 pieces. The area for level two […]