https://padlet.com/thomascarroll22/w8hxdh4zxm8oph5f en-us 2020-11-29 02:54:06 UTC 2023-05-05 17:46:19 UTC hello@padlet.com thomascarroll22 https://padlet.com/thomascarroll22/w8hxdh4zxm8oph5f/wish/980340818 2020-12-02 16:02:32 UTC https://padlet.com/thomascarroll22/w8hxdh4zxm8oph5f/wish/980340818 thomascarroll22 https://padlet.com/thomascarroll22/w8hxdh4zxm8oph5f/wish/980350117 2020-12-02 16:04:24 UTC https://padlet.com/thomascarroll22/w8hxdh4zxm8oph5f/wish/980350117 thomascarroll22 https://padlet.com/thomascarroll22/w8hxdh4zxm8oph5f/wish/980351109 2020-12-02 16:04:36 UTC https://padlet.com/thomascarroll22/w8hxdh4zxm8oph5f/wish/980351109 thomascarroll22 https://padlet.com/thomascarroll22/w8hxdh4zxm8oph5f/wish/980356926 2020-12-02 16:05:43 UTC https://padlet.com/thomascarroll22/w8hxdh4zxm8oph5f/wish/980356926 thomascarroll22 https://padlet.com/thomascarroll22/w8hxdh4zxm8oph5f/wish/980357678 2020-12-02 16:05:52 UTC https://padlet.com/thomascarroll22/w8hxdh4zxm8oph5f/wish/980357678 thomascarroll22 https://padlet.com/thomascarroll22/w8hxdh4zxm8oph5f/wish/980358925 2020-12-02 16:06:08 UTC https://padlet.com/thomascarroll22/w8hxdh4zxm8oph5f/wish/980358925 thomascarroll22 https://padlet.com/thomascarroll22/w8hxdh4zxm8oph5f/wish/980360947 2020-12-02 16:06:33 UTC https://padlet.com/thomascarroll22/w8hxdh4zxm8oph5f/wish/980360947 thomascarroll22 https://padlet.com/thomascarroll22/w8hxdh4zxm8oph5f/wish/980363267 2020-12-02 16:07:03 UTC https://padlet.com/thomascarroll22/w8hxdh4zxm8oph5f/wish/980363267 thomascarroll22 https://padlet.com/thomascarroll22/w8hxdh4zxm8oph5f/wish/980369409 2020-12-02 16:08:18 UTC https://padlet.com/thomascarroll22/w8hxdh4zxm8oph5f/wish/980369409 thomascarroll22 https://padlet.com/thomascarroll22/w8hxdh4zxm8oph5f/wish/980370429 2020-12-02 16:08:30 UTC https://padlet.com/thomascarroll22/w8hxdh4zxm8oph5f/wish/980370429 thomascarroll22 https://padlet.com/thomascarroll22/w8hxdh4zxm8oph5f/wish/980371442 2020-12-02 16:08:42 UTC https://padlet.com/thomascarroll22/w8hxdh4zxm8oph5f/wish/980371442 thomascarroll22 https://padlet.com/thomascarroll22/w8hxdh4zxm8oph5f/wish/980372541 2020-12-02 16:08:55 UTC https://padlet.com/thomascarroll22/w8hxdh4zxm8oph5f/wish/980372541 thomascarroll22 https://padlet.com/thomascarroll22/w8hxdh4zxm8oph5f/wish/980381375 2020-12-02 16:10:42 UTC https://padlet.com/thomascarroll22/w8hxdh4zxm8oph5f/wish/980381375 thomascarroll22 https://padlet.com/thomascarroll22/w8hxdh4zxm8oph5f/wish/994569098 f(x)=x, or y=x ]]> 2020-12-07 15:53:50 UTC https://padlet.com/thomascarroll22/w8hxdh4zxm8oph5f/wish/994569098 thomascarroll22 https://padlet.com/thomascarroll22/w8hxdh4zxm8oph5f/wish/994583022 f(x)=x^2, or y=x^2]]> 2020-12-07 15:56:30 UTC https://padlet.com/thomascarroll22/w8hxdh4zxm8oph5f/wish/994583022 thomascarroll22 https://padlet.com/thomascarroll22/w8hxdh4zxm8oph5f/wish/994596686 f(x)=|x|, or y=|x|]]> 2020-12-07 15:59:07 UTC https://padlet.com/thomascarroll22/w8hxdh4zxm8oph5f/wish/994596686 thomascarroll22 https://padlet.com/thomascarroll22/w8hxdh4zxm8oph5f/wish/994623958 f(x)=cos(x), or y=cos(x)]]> 2020-12-07 16:04:17 UTC https://padlet.com/thomascarroll22/w8hxdh4zxm8oph5f/wish/994623958 thomascarroll22 https://padlet.com/thomascarroll22/w8hxdh4zxm8oph5f/wish/994685573 Parametric functions used to create the displayed shapes below (circle, spiral, star). Both parametric equations for each image differ from one another which is how the shapes are different. ]]> 2020-12-07 16:15:45 UTC https://padlet.com/thomascarroll22/w8hxdh4zxm8oph5f/wish/994685573 thomascarroll22 https://padlet.com/thomascarroll22/w8hxdh4zxm8oph5f/wish/994695375 This is one of my favorite images created by a parametric function that I've found on google. I like how it starts off as star-like in the middle then expands to the point it hits the circle that surrounds it. ]]> 2020-12-07 16:17:31 UTC https://padlet.com/thomascarroll22/w8hxdh4zxm8oph5f/wish/994695375 thomascarroll22 https://padlet.com/thomascarroll22/w8hxdh4zxm8oph5f/wish/1004004573 The principles of art, many of which I used in both my projects such as balance, pattern, unity, proportion, and repetition. ]]> 2020-12-09 20:35:13 UTC https://padlet.com/thomascarroll22/w8hxdh4zxm8oph5f/wish/1004004573 thomascarroll22 https://padlet.com/thomascarroll22/w8hxdh4zxm8oph5f/wish/1004007676 1) Line 
2) Shape 
3) Form
4) Space
5) Value & Contrast 
6) Color 
7) Texture ]]> 2020-12-09 20:36:11 UTC https://padlet.com/thomascarroll22/w8hxdh4zxm8oph5f/wish/1004007676 thomascarroll22 https://padlet.com/thomascarroll22/w8hxdh4zxm8oph5f/wish/1004154460 All of the Desmos lessons throughout the year that helped better my understanding in their specific areas. ]]> 2020-12-09 21:22:51 UTC https://padlet.com/thomascarroll22/w8hxdh4zxm8oph5f/wish/1004154460 thomascarroll22 https://padlet.com/thomascarroll22/w8hxdh4zxm8oph5f/wish/1004165830 A Desmos lesson on Trigonometric graphing. How to find the range of a function and how to find a function from a given range. ]]> 2020-12-09 21:27:04 UTC https://padlet.com/thomascarroll22/w8hxdh4zxm8oph5f/wish/1004165830 thomascarroll22 https://padlet.com/thomascarroll22/w8hxdh4zxm8oph5f/wish/1004166336 A Desmos lesson on patterns and finding the certain rules needed to move an object to a certain spot, in a certain way.]]> 2020-12-09 21:27:15 UTC https://padlet.com/thomascarroll22/w8hxdh4zxm8oph5f/wish/1004166336 thomascarroll22 https://padlet.com/thomascarroll22/w8hxdh4zxm8oph5f/wish/1004200429 2020-12-09 21:40:40 UTC https://padlet.com/thomascarroll22/w8hxdh4zxm8oph5f/wish/1004200429 thomascarroll22 https://padlet.com/thomascarroll22/w8hxdh4zxm8oph5f/wish/1004230638 2020-12-09 21:52:16 UTC https://padlet.com/thomascarroll22/w8hxdh4zxm8oph5f/wish/1004230638 thomascarroll22 https://padlet.com/thomascarroll22/w8hxdh4zxm8oph5f/wish/1004231046 2020-12-09 21:52:27 UTC https://padlet.com/thomascarroll22/w8hxdh4zxm8oph5f/wish/1004231046 thomascarroll22 https://padlet.com/thomascarroll22/w8hxdh4zxm8oph5f/wish/1004353253 2020-12-09 22:51:47 UTC https://padlet.com/thomascarroll22/w8hxdh4zxm8oph5f/wish/1004353253 thomascarroll22 https://padlet.com/thomascarroll22/w8hxdh4zxm8oph5f/wish/1004385665 2020-12-09 23:09:54 UTC https://padlet.com/thomascarroll22/w8hxdh4zxm8oph5f/wish/1004385665 thomascarroll22 https://padlet.com/thomascarroll22/w8hxdh4zxm8oph5f/wish/1004385932 2020-12-09 23:10:03 UTC https://padlet.com/thomascarroll22/w8hxdh4zxm8oph5f/wish/1004385932 thomascarroll22 https://padlet.com/thomascarroll22/w8hxdh4zxm8oph5f/wish/1004386260 2020-12-09 23:10:15 UTC https://padlet.com/thomascarroll22/w8hxdh4zxm8oph5f/wish/1004386260 thomascarroll22 https://padlet.com/thomascarroll22/w8hxdh4zxm8oph5f/wish/1004386527 2020-12-09 23:10:24 UTC https://padlet.com/thomascarroll22/w8hxdh4zxm8oph5f/wish/1004386527 thomascarroll22 https://padlet.com/thomascarroll22/w8hxdh4zxm8oph5f/wish/1004387171 2020-12-09 23:10:48 UTC https://padlet.com/thomascarroll22/w8hxdh4zxm8oph5f/wish/1004387171 thomascarroll22 https://padlet.com/thomascarroll22/w8hxdh4zxm8oph5f/wish/1004461235 2020-12-09 23:54:54 UTC https://padlet.com/thomascarroll22/w8hxdh4zxm8oph5f/wish/1004461235 thomascarroll22 https://padlet.com/thomascarroll22/w8hxdh4zxm8oph5f/wish/1004468277 2020-12-09 23:58:55 UTC https://padlet.com/thomascarroll22/w8hxdh4zxm8oph5f/wish/1004468277 thomascarroll22 https://padlet.com/thomascarroll22/w8hxdh4zxm8oph5f/wish/1004471356 2020-12-10 00:00:38 UTC https://padlet.com/thomascarroll22/w8hxdh4zxm8oph5f/wish/1004471356 thomascarroll22 https://padlet.com/thomascarroll22/w8hxdh4zxm8oph5f/wish/1004920193 2020-12-10 04:00:05 UTC https://padlet.com/thomascarroll22/w8hxdh4zxm8oph5f/wish/1004920193 thomascarroll22 https://padlet.com/thomascarroll22/w8hxdh4zxm8oph5f/wish/1004920681 2020-12-10 04:00:24 UTC https://padlet.com/thomascarroll22/w8hxdh4zxm8oph5f/wish/1004920681 thomascarroll22 https://padlet.com/thomascarroll22/w8hxdh4zxm8oph5f/wish/1004921300 2020-12-10 04:00:53 UTC https://padlet.com/thomascarroll22/w8hxdh4zxm8oph5f/wish/1004921300 thomascarroll22 https://padlet.com/thomascarroll22/w8hxdh4zxm8oph5f/wish/1004963937 2020-12-10 04:30:28 UTC https://padlet.com/thomascarroll22/w8hxdh4zxm8oph5f/wish/1004963937 thomascarroll22 https://padlet.com/thomascarroll22/w8hxdh4zxm8oph5f/wish/1004980437 2020-12-10 04:41:26 UTC https://padlet.com/thomascarroll22/w8hxdh4zxm8oph5f/wish/1004980437 thomascarroll22 https://padlet.com/thomascarroll22/w8hxdh4zxm8oph5f/wish/1004988694 Some of the possible transformations to apply to functions. All of these transformations were used at some point in class and in my projects as well. ]]> 2020-12-10 04:47:00 UTC https://padlet.com/thomascarroll22/w8hxdh4zxm8oph5f/wish/1004988694 thomascarroll22 https://padlet.com/thomascarroll22/w8hxdh4zxm8oph5f/wish/1010380401 I've always liked math but my last 2 years of high school started to change that. Math began to become boring to me, in large part due to me not learning anything for the entirety of two years. What was once my favorite subject became one of my least favorite, that was until this year. Taking this class helped me appreciate and start to like math again. I not only learned more in these past couple of months than the past couple of years but I also got to use the math I learned to code artwork of my desire. This class is directly responsible for me starting to appreciate math again and wanting to get back into mathematical stuff. ]]> 2020-12-11 16:37:57 UTC https://padlet.com/thomascarroll22/w8hxdh4zxm8oph5f/wish/1010380401 thomascarroll22 https://padlet.com/thomascarroll22/w8hxdh4zxm8oph5f/wish/1010398269 Entering this semester I lacked in many areas of mathematics. It was so bad that I couldn't even tell you anything at all about parametric equations/functions and I definitely never heard of linear interpolation either. As the semester went on I began to remember all the previous things that may have slipped my mind, such as vectors. Vectors may not be the hardest of topics but I did relearn everything about them this year like how they always have a direction. Then towards the end of the semester I began to learn what parametric functions are, what their graphs look like, and what variable is present in its equations. I always thought that parametric equations were almost exactly like normal functions such as f(x)=x, but little did I know there's a lot more to them. Parametric functions consist of two parametric equations (one for x, and one for y) with its variable as "t" and only ever t, and they can create graphs vastly similar to those of linear functions or vastly different. As a whole I would say that my progression as a mathematician was a huge one as I now know various things I didn't when entering the class and I know how to apply them and explain them when needed. ]]> 2020-12-11 16:41:39 UTC https://padlet.com/thomascarroll22/w8hxdh4zxm8oph5f/wish/1010398269 thomascarroll22 https://padlet.com/thomascarroll22/w8hxdh4zxm8oph5f/wish/1010458370 Last year, in my senior year I took a computer science class and learned to do basic coding for the first time in Python. With that being said heading into the semester I had a small bit of previous knowledge in the field of coding/programming. I knew how to do basic things such as changing code to move something the direction I wanted it to go or to dilate something. One thing I never learned was color codes, what their values did, and how to use those color codes on a website. In this class we learned a little bit about the Hex Values for the color code which is displayed as #FF0000 and is the same thing seen on the Color Palette website that I used from my first 2 projects but this interested me so I wanted to further look into color codes. I found that color codes have a number for R(Red), G(Green), and B(Blue) with the number ranging from 0-255. The higher the number is in one specific area meant more of that one colors was being used to create the color you're going for, for instance a solid green would be R-0, G-255, B-0. To apply these values to something on the webpage you're on you'd click fn-F12 (On a macbook) and then go to the subtitle console and write out the code needed with the number code being involved as well. This is how I changed my color scheme on Demsos for both projects to my liking. Although we didn't directly learn all about color codes in this class it was being shown the color palette website and how to change the colors on Desmos which sparked my interest to learn about this and know for the future. My progression as a programmer was a big one due to learning how to change a color scheme by applying code in the "Console" area of the websites code, I learned about the RGB values for color codes, and I learned how to directly use math equations and functions in programming to create images.  ]]> 2020-12-11 16:55:18 UTC https://padlet.com/thomascarroll22/w8hxdh4zxm8oph5f/wish/1010458370 thomascarroll22 https://padlet.com/thomascarroll22/w8hxdh4zxm8oph5f/wish/1011331058 My progression as an artist is in large part due to the fact that it was created through coding. Throughout my life I've always done artwork by hand, but in freshman year of high school I took a graphic designing class. The graphic design class primarily focused on photo shopping pictures, drawing custom logos on the computer, or making websites. That was the first real progression I've had as an artist up until this year. I've never used math or coding to make art before so the fact that this class was a mathematical design class it helped me expand as an artist in areas I never knew could create art. I had never even assumed that you could code something with math to create a piece of art but now that I do I'm going to continue to use this skill in the future. Not only did I come across a new way to create art, but I even came across a new style to my art through this course. The mathematical functions I would use (such as cosine or sine) created various curved lines that I typically would've never used, and helped me create very symmetrical and cohesive art. ]]> 2020-12-11 20:34:01 UTC https://padlet.com/thomascarroll22/w8hxdh4zxm8oph5f/wish/1011331058 thomascarroll22 https://padlet.com/thomascarroll22/w8hxdh4zxm8oph5f/wish/1011828544 The elements of art which were also used in both my projects. With those elements being line, shape, space, and color. ]]> 2020-12-12 02:43:16 UTC https://padlet.com/thomascarroll22/w8hxdh4zxm8oph5f/wish/1011828544 thomascarroll22 https://padlet.com/thomascarroll22/w8hxdh4zxm8oph5f/wish/1011888820 All of the listed column headings displayed are what I felt to be the most important parts to the class and the things that mattered most to the course. Everything outside of the projects and my own progress are all used throughout the course and were used by me in my two projects as well. ]]> 2020-12-12 04:11:22 UTC https://padlet.com/thomascarroll22/w8hxdh4zxm8oph5f/wish/1011888820 thomascarroll22 https://padlet.com/thomascarroll22/w8hxdh4zxm8oph5f/wish/1011915049 A vertical translation upwards of 3 units is applied to the parent function of f(x)=x. This results in f(x)=x+3]]> 2020-12-12 04:53:40 UTC https://padlet.com/thomascarroll22/w8hxdh4zxm8oph5f/wish/1011915049 thomascarroll22 https://padlet.com/thomascarroll22/w8hxdh4zxm8oph5f/wish/1011915148 A horizontal compression of 5 is applied with a vertical translation downward by 4. This turns the parent function of f(x)=x^2 to f(x)=5x^2-4.]]> 2020-12-12 04:53:51 UTC https://padlet.com/thomascarroll22/w8hxdh4zxm8oph5f/wish/1011915148 thomascarroll22 https://padlet.com/thomascarroll22/w8hxdh4zxm8oph5f/wish/1011918693 At the beginning of the semester this basic function was just about the best I could do on Desmos when trying to program. ]]> 2020-12-12 04:59:41 UTC https://padlet.com/thomascarroll22/w8hxdh4zxm8oph5f/wish/1011918693 thomascarroll22 https://padlet.com/thomascarroll22/w8hxdh4zxm8oph5f/wish/1011918814 As the semester progressed my ability and understanding of how to code progressed as well. This led me to create something as simple as the above parent function into something much more complex and unique such as the image below (draft 5 of project 1). ]]> 2020-12-12 04:59:56 UTC https://padlet.com/thomascarroll22/w8hxdh4zxm8oph5f/wish/1011918814 thomascarroll22 https://padlet.com/thomascarroll22/w8hxdh4zxm8oph5f/wish/1011921819 This was one the first piece of artwork I ever created on Desmos in the class. I found it to be a very simplistic design but also one that was very put together and actually one of my favorite pieces of art I've created as well. ]]> 2020-12-12 05:05:22 UTC https://padlet.com/thomascarroll22/w8hxdh4zxm8oph5f/wish/1011921819 thomascarroll22 https://padlet.com/thomascarroll22/w8hxdh4zxm8oph5f/wish/1011923726 This was the last piece of artwork I created for the class and I feel the difference my first piece is a huge one. I grew as an artist by making my art a lot more complex with more things going on rather than less. My first image was created mainly by straight lines and a square, the second image consists of various more things such as functions that appear to create circles, squares, and spiral like boxes. My artwork has become a lot more full, with more negative space in my pieces, and with the inclusion of more colors. ]]> 2020-12-12 05:08:48 UTC https://padlet.com/thomascarroll22/w8hxdh4zxm8oph5f/wish/1011923726 thomascarroll22 https://padlet.com/thomascarroll22/w8hxdh4zxm8oph5f/wish/1011929491 In the beginning of the semester this was one of the best things I could create with math. Simplistic math equations/functions were the best I could do until further learning and re-learning all the math I previously knew. ]]> 2020-12-12 05:18:47 UTC https://padlet.com/thomascarroll22/w8hxdh4zxm8oph5f/wish/1011929491 thomascarroll22 https://padlet.com/thomascarroll22/w8hxdh4zxm8oph5f/wish/1011929591 My skills as a mathematician grew exponentially from the beginning of the year as I could now create more complex functions/equations while also using lists as well. On top of this I learned what to put as the domain for parametric functions to get it to me liking. ]]> 2020-12-12 05:18:58 UTC https://padlet.com/thomascarroll22/w8hxdh4zxm8oph5f/wish/1011929591