My Anamorphic design
An Anamorphic design is an image that is appears distorted and irregular until viewed at the proper and often unconventional angle. Anamorphic images often appear in proper proportion when they are reflected through a polyhedron or a curved mirror. In order to complete this project ,my partner Benji and I, created a picture frame with lament paper and hard cardboard like paper which we mounted on a cardboard box. We then lined our mounted lament paper image with a piece of large paper. Benji then used a laser pointer to show me where key points were projected on the large paper, I marked these key parts with pennies. When we were finished with this, we continued onto connect the dots, and shape our 3 D circle contraption. We finished the process by refining the smoothness of the circle with a black sharpie, and colored the inside with the vivid hues of blue and red. The two most difficult parts of this project were sculpting the circles roundness and plotting the points because we had so many of them, It was quit the challenge to choose a circular object. To overcome our first obstacle we discovered that benji was a batter eye then I was so we took on our correct roles as laser pointer and penny plotter to work as a team. to overcome the second obstacle we colored in the circle before we put the sharpie edges on, this made it easier to make a better circle.
Trigonometry Project
tan 21=h/x tan 16=h/(x+20)
h=xtan21 h=x tan 16 +20 tan 16
tan 21(x)=x tan 16 +20 tan 16
x(tan 21-tan 16) =20 tan 16
x=20tan 16 / (tan21 - tan16)
h=20 tan (16) tan(21) / (tan(21) - tan (16))
h=29.91
h=xtan21 h=x tan 16 +20 tan 16
tan 21(x)=x tan 16 +20 tan 16
x(tan 21-tan 16) =20 tan 16
x=20tan 16 / (tan21 - tan16)
h=20 tan (16) tan(21) / (tan(21) - tan (16))
h=29.91
tan 24= h/x tan 20=h/9(x+15)
h=x tan 20 + 15 tan 20
(tan 24) X = x(tan 20) + 15 tan 20
X( tan 24 -tan 20) 15 tan 20
X( tan 24-tan 20)= 15 tan 20
h=15 tan (20) tan (24)/(24)-tan(20)
h=22.667
h=x tan 20 + 15 tan 20
(tan 24) X = x(tan 20) + 15 tan 20
X( tan 24 -tan 20) 15 tan 20
X( tan 24-tan 20)= 15 tan 20
h=15 tan (20) tan (24)/(24)-tan(20)
h=22.667
tan 9 h/x tan 8 h/x=135
h=x tan 8 (x=135)
tan 9 x = x tan 8 = tan 135
tan 9 x -x tan 8 = 135
x (tan 9-tan 8) =tan 135
x (tan 9-tan 8) = 8 tan 135
h=8 tan (135) tan(9)/ (tan(9)- tan (8)
h=71.0
h=x tan 8 (x=135)
tan 9 x = x tan 8 = tan 135
tan 9 x -x tan 8 = 135
x (tan 9-tan 8) =tan 135
x (tan 9-tan 8) = 8 tan 135
h=8 tan (135) tan(9)/ (tan(9)- tan (8)
h=71.0
During this project we measured the height of objects using trig functions and triangles.
Hexaflexagon
The design on my Hexaflexagon has rotational symmetry in the corners of the triangles that meet. I made a vary abstract hexaflexagon that was based on the theme of Norwegian myology and magic. In the final product the shape does not hold true symmetry but it does hold balance that works together. Both myth and math are abstract ideas that humans find wonder and application in.
The feature of my hexaflexagon that pleases me the most is the designs of myth and magic that are geometric yet also abstract. Now that I understand that the triangles line up side by side I would make my symbols match these and also use more geometric shapes that create symmetry and pleasure to the eyes when opened and closed. I leaned that I am very imaginative. I am drawn to abstract and human things. I appreciate imperfection and enjoy the fun of creating symbols that enchant the mind in different ways.
Snail Trail
To create the snail trail design we reflected points across lines of symmetry that cut a circle into six equal pie portions. The geogabra window then allowed us to move the circles around the screen in trace mode creating the design you see above.
In the beginning I missed this project in class and I thought it was no big, however it kept returning to complicate things in math for me from my grade to my DP. This is when I learned a very important thing about myself, that the things I ignore and push away will come up in more irritating and debilitating ways until I pay attention to them, take head of them, and learn from them. I also learned that Imperfection is ok. It is good to take things literally and forgive ourselves but we must care and make an effort.
In the beginning I missed this project in class and I thought it was no big, however it kept returning to complicate things in math for me from my grade to my DP. This is when I learned a very important thing about myself, that the things I ignore and push away will come up in more irritating and debilitating ways until I pay attention to them, take head of them, and learn from them. I also learned that Imperfection is ok. It is good to take things literally and forgive ourselves but we must care and make an effort.
Two Rivers GGB Lab
In this lab we simulated planning the best location for a house away from and above the sewage plant yet as close to the east and west rivers as possible, we concluded that building the house right on the east or river bank would be a pour choice because the quickest path to the other river would be walking by the sewage plant. placing your house in the middle of line CD will minimize walking and keep you away from the sewage plant. The two central angles are the smallest on the perpendicular bisector.
Burning Tent Lab
In the Burning Tent lab we simulated a camper spotting a fire and trying to find the quickest way to run down to the river get water and then up to the tent to but out the fire. it Is not acceptable to run strait down to the river and then all the way up to the tentfire because it is not the shortest path. The shortest path and the path that should be taken consist of going along the dotted line from point camper to point Tentfire prime to the river and then to tentfire. This is the shortest path because point tentfire prime is a reflection of point tentfire. and the path is that distance plus the distance from camper and river.