perspectives of 3d objects
My Anamorphic 3-D drawing Project
an·a·mor·pho·sis (ăn′ə-môr′fə-sĭs)n. pl. an·a·mor·pho·ses (-sēz′)
1.a. An image that appears distorted unless it is viewed from a special angle or with a special instrument.
An anamorphic drawing is an image on a flat surface that is stretched out that when viewed from the right angle appears to have depth.
1.a. An image that appears distorted unless it is viewed from a special angle or with a special instrument.
An anamorphic drawing is an image on a flat surface that is stretched out that when viewed from the right angle appears to have depth.
To make an anamorphic drawing we needed a image to turn into the drawing. then we needed to get a large sheet of paper, and a picture frame with a box to stand it up in.
Our image is the result of a projection, allowing it to look 3D even though it is actually 2D. to achieve this effect we traced the image onto the empty picture frame. then we positioned the frame so the image on it fit within the paper. We traced it out by having one partner look through the frame and guide the other partner to key points. Then we connected the dots to make the outline. After that we colored and shaded. To make it look 3D we cut the paper in half excluding the object itself.
1 and 2 Point perspective
TRIGONOMETRY aplications
Using a kilometer, we measured angles of elevation and with trigonometry we determined the vertical height of objects from the AHS parking lot.
Hexafleagon
my design is based heavily on rotational symmetry as most of the designs are symmetrical like the snail trail GGB lab below.
One of the designs that I am pleased with is stripe design because it lines up perfectly and it has a cool looking hexagon shape in it.
Some symmetry refinements I would like to make would be to line up the round shapes and to account for the awkward shape of the hexafleagon
And something I learned about myself during this project is that I like math if it is presented to me in the correct way.
Some symmetry refinements I would like to make would be to line up the round shapes and to account for the awkward shape of the hexafleagon
And something I learned about myself during this project is that I like math if it is presented to me in the correct way.
Snail-Trail graffiti ggb lab
This GGB lab focused on reflection. we started out with 3 rays that were at 60 Degrees apart then we reflected one point 6 times about the rays.
During this project I learned about how math can lead to interesting designs in life.
During this project I learned about how math can lead to interesting designs in life.
two rivers GGB LAB
We will model the following scenario in a Geogebra sketch. 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.
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.
During this lab I concluded that the best place for the house in the problem was at an equal distance from either river, the segmented line shows the best path.
The burning tent ggb lab
A camper out for a hike is returning to her campsite. The shortest
distance between her and her campsite is along a 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.
distance between her and her campsite is along a 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 geometry concepts practiced were