Scaling your World
The “Scaling your World,” project required us to learn about congruency, similarity, and just scaling in general. Over the course of about a month we heightened our understanding of the scaling topics.
The first topic we learned was congruency. Congruency is two shapes that share the same dimensions. Usually affiliated with polygons, congruency can also be used with line segments, triangles, and circles. All angles, all sides, and all general measurements must be identical.
The second topic was similarity. Similarity is two shapes that have the same angles, but are different sizes. For examples, two triangles with angles of AB 70 BC 70 and CA 40, one triangle has a side length 10 inches but the other has a side length of only 5 inches.
The third topic was proportions. Proportion is the relation between two shapes that are different sizes. They must follow the same scale factor and must be similar. We use the proportion to create a ratio. For example, I have two triangles, one has the side length of 10, the other 5. The ratio would be 2/1 because the first triangle is double the size of the second.
The fourth topic was proving similarity. We can prove similarity by making sure the angles and side length can mutliply/divide into eachother. There are rules in which we follow to find whether two angles are congruent, such as two angles that share the same lines have the same measurement.
The fifth topic was dilation. Dilation is making an object bigger or smaller using a ratio and/or a scale factor. If I have a 10 inch pencil and want to create a new one thats 20 inches, I follow the 2/1 scale factor and dilate.
Dilation changes the entirety of an object/shape, including area and perimeter, but it still follows the scale factor.
After we learned about all about the different scaling topics, we were tasked with creating our own physical scale model. We were given the freedom to scale it up, or down, and we could scale anything we wanted. I chose to scale my Chinese Dao (Broadsword). It’s something that means very much to me and has become an extension of myself.
Our first benchmark was a short questionaire asking us what we wanted to do and how we wanted to craft it. Here’s what I wrote.
Benchmark 1
1.) I am on a team by myself.
2.) I am going to scale my Dao (Chinese Broadsword.) I think it really be really cool to scale it, I might even try to forge it using household techniques.
3.) I'm going to scale it so it fits comfortably in the hand and so the blade size is around that of a Bowie knife.
4.) I want to construct it using homemade forging techniques. I've seen multiple videos on how to do so. I'll display it on a small stand and write a paragraph about how it was made and how the math was done. It might be difficult but I think it will end up looking very cool.
I'm thinking about doing a scale so large I have to draw it in the sand at the beach. I want to do multiple scales but really want to focus on the dagger sized model.
The whole “homemade forging,” thing was extremely challenging and would take much longer than a few weeks. I decided instead to make a video which I will in fact display at exhibition.
Benchmark 1
1.) I am on a team by myself.
2.) I am going to scale my Dao (Chinese Broadsword.) I think it really be really cool to scale it, I might even try to forge it using household techniques.
3.) I'm going to scale it so it fits comfortably in the hand and so the blade size is around that of a Bowie knife.
4.) I want to construct it using homemade forging techniques. I've seen multiple videos on how to do so. I'll display it on a small stand and write a paragraph about how it was made and how the math was done. It might be difficult but I think it will end up looking very cool.
I'm thinking about doing a scale so large I have to draw it in the sand at the beach. I want to do multiple scales but really want to focus on the dagger sized model.
The whole “homemade forging,” thing was extremely challenging and would take much longer than a few weeks. I decided instead to make a video which I will in fact display at exhibition.
Benchmark 2 was creating a blueprint or sketch of the model. Here is my benchmark 2.
Benchmark 3 was the final product, which is honestly extremely time consuming and is still not complete. I decided to create a video much like the ones seen on youtube explaining math concepts. I will showcase different scale factors and how scaling can be used and implemented into the real world.
Overall this was a very entertaining project that taught me a lot about scaling in general. I enjoyed learning about all of the different scaling topics and the video is so far very entertaining as well.