User:Spark1525/ENES-100/project Igloo

Week0
Out of 3 listed preferences, I have been assigned to build an Igloo with a group of three students, including myself. Chosen personally by the professor, I have been tasked to mathematically prepare for the igloo project. In other words, only the 'muscles' of the group will need to actually build and construct the igloo while I logically solve for the structure. Throughout the logical procedures, a key problem was a hollow domain presentation. Of course, by using calculus, I was able stretch both internal and external diagram of the project by hand. However, because I had a limited knowledge on the functions for the igloo, I only managed to design a solid dome; an inaccurate design compared to an actual igloo. Nevertheless, a further push on the logical interpretation and time might do the trick. If time were an only issue, then I am almost done with this mathematical portion of the project. Soon or later, I will have a complete, accurate structure of the igloo including its hollow domain and doorway passage for people to internally explore my logical being.

Week1 Preferences
Under my leadership, I have united the scattered ideas or conceptual designs for igloo project. The group members faced an ambiguous case where the second layer of the igloo had multiple ways of designing on top of the base layer. One possible way was to cut out another circle that mirrored the base; followed by hot glues to adhere the two. An alternative was cut out the blocks and manually angle them as they are being glued to the base. Directionless, my group was fallen into inconclusive thoughts as both of these approaches seemed to be relatively reasonable choices. I; however, put both of these concepts in to considerations. By cutting the soon-to-be second layer that mirrored the base, I was able to uniformly align the two layers without any disruptions in patterns. Then, this method is followed by internal smearing tool that gave curls and angles for the next layer. This had to be done because it allowed the next layer to be closer toward the center; eventually leading toward the roof. Then, the second layer is chopped into uniform blocks to promote igloo-like patterns. Although I wasn't the sole person to achieve this second layer design, it essentially was my united concept that brought the second layer into reality. Not only did this create a pattern like an actual igloo, but it also hinged the next design for the third layer as well.

Week2 Narrative
For this week, I've used Google Sketch 8 software to bring my mathematical calculations into 3 dimensional world. Unfortunately, because no equations can be inserted to translate the logical imaginative figure, the large portions of the calculations have been approximated. In addition, the measurements were inches/feet which were proportionally equal to that of mock igloo drawing. For instance, instead of using 9.75 inches as the radius like in the igloo drawing, I've used 9.71 feet as the radius in the 3-D figure for a better and clear view.

When it came to the base layer, I recalled my calculus attempt, where it created a hollow circular structure. Mimicking such structure, I've painted the inner circle with the color black to visually discriminate the hollowness of the figure. With a thickness of 1.5 feet, I've managed to hinge the upper and lower circular structures successfully, creating the base layer of the igloo.

Week3 Narrative
For this week, I have used a white clay to model an igloo in order to visually present my mathematical interpretation. Due to my impatience with my group members' data collection, I've decided to create my own model and calculate its distances of each layer which directs toward the center of an igloo. For the future reference, this distances will be used to calculate the angles between the radius to the each layer's length to the center.

Materials Used:

Week4 Narrative
Not only have I edited and wrote the entire team page, but I also redone my mathematical portion for the igloo. Initially, I've calculated the volume of the igloo as a whole and tried to form a linear, single equation to basically summarize the igloo's dome-like shape. However, that didn't answer the questions to finding a method of documenting each block's shape and the ramp's angle as it grades up toward the roof. The detailed mathematical explanations are written in /How to Present Igloo Mathematically/. This includes both What To Do and What Not To Do when calculating the igloo's block and its ramps. Briefly speaking, because I lacked in knowledge of finding 3-D equations, I've decided to manually measure the data points and calculate angles for the blocks. In regard to Team Project Page, I have collected and calculated all of the data points, created tutorials for future project teams, posted pictures, and wrote from Problem Statement to Next Step