Isometric Drawing Project
Anamorphic 3-D Drawing Project
Anamorphic means a shape that has been drawn or created with a defined perspective of viewing it; it is a “projection” of the shape onto a different plane of surface. If the shape is viewed from a different perspective then the shape will be distorted. The supplies that we used to create our anamorphic drawing were, in fact, quite simple. An empty picture frame propped up with a shoebox was used to hold the image of our drawing. A large piece of construction paper was placed out in front of the picture so when, at a certain angle, one looked through the glass the drawing would be projected onto the piece of construction paper.By standing straight up at the end of the room and looking through the picture frame with the construction paper behind it (roughly in the center of the room) the image on the glass is squarely placed on the paper from the perspective of the viewer. As one person views it fro the defined perspective another person marks each vertex of the shape with the command of the viewer. Once all the vertices are marked on the paper they are connected appropriately to each other they final shape is shaded to give it more of a three-dimensional affect. Several challenges we ran into during this process were difficult to deal with but we overcame. With one person viewing the image projected onto the construction paper it was very difficult to get a defined projection because even the slightest eye movement would distort the image and the paper would change where the vertices were placed. Though in the end we got over this challenge and ended up with a beautiful piece of geometric art.
One-Point and 2-Point Perspective labs
In the one point and two point perspective lab we experimented with how 3-D perspective worked on a flat surface. In the one point perspective we created 4 rays that dilated from one point. With in the 4 rays we inscribed a rectangular prism that represented a room. In the two point perspective we made two side by side to show a relationship in the dilation.
Trigonometry Application Project
Hexaflexagon
My hexaflexagon shows line-reflection symmetry, as shown in the photo the pink triangular portions are reflections of each other. When they are folded together they form one larger triangle. When it is folded the opposite way the small triangles are facing away and opposite of each other. The feature of my hexaflexagon that pleases me the most is the designs that can form two different shapes when folded the opposite way because this shows an interesting form of symmetry which is quite amusing. The refinements I would make to my hexaflexagon would be take more care when drawing the designs on the faces. Some of the symmetries don't quite match up to each other. Through this activity something I learned about myself was that I have a lot of artistic knowledge when it comes to drawing the designs.
Snail Trail Graffiti GGB Lab
In the Snail Trail Graffiti Lab each colored point is a reflection of the other, so whenever a point is moved the opposite point will move in the opposite direction, always keeping the symmetry equal. Through this activity something I learned about myself was that I have a lot of artistic knowledge when it comes to making the designs.
Two Rivers GGB Lab
The objective of the lab was this: There is a sewage treatment plant at the point where two rivers meet. You want to build a house near the two rivers (upstream from the sewage plant, naturally), but you want the house to be at least 5 miles from the sewage plant. You visit each of the rivers to go fishing about the same number of times but being lazy, you want to minimize the amount of walking you do. You want the sum of the distances from your house to the two rivers to be minimal, that is, the smallest distance.
The first image shows where the house should not be placed. In the image the house is shown nowhere near the West River or the East River, though the house is positioned outside of the five mile radius but since it is too far away from the two rivers it is improbable that the house be paced at this location.
The second image shows where the house should be placed. In the image the house is shown in the middle of the West River or the East River making it probable that the house be built here, and the house is also placed outside of the five mile radius to the sewage plant.
The second image shows where the house should be placed. In the image the house is shown in the middle of the West River or the East River making it probable that the house be built here, and the house is also placed outside of the five mile radius to the sewage plant.
The Burning Tent GGB Lab
The objective of the lab was this: A camper out for a hike is returning to her campsite. The shortest distance between her and her campsite is along straight line, but as she approaches her campsite, she sees that her tent is on fire! She must run to the river to fill her canteen, and then run to her tent to put out the fire. What is the shortest path she can take? In this exploration you will investigate the minimal two-part path that goes from a point to a line and then to another point.
The first image shows where the camper should not get the water to put out burning tent. The location is far out of reach for the camper where he/she has to travel a far distance to get the water and then travel backward to get to the tent, it is completely illogical.
The second image shows where the camper should get the water to put out burning tent. The location is placed directly on the line of reflection connected from the camper to the tent fire, this is one of the shortest possible distances the camper can make from his/her location, to the river, to the tent fire.
The second image shows where the camper should get the water to put out burning tent. The location is placed directly on the line of reflection connected from the camper to the tent fire, this is one of the shortest possible distances the camper can make from his/her location, to the river, to the tent fire.