Visualizing and Creating 3D Objects
Anamorphic 3D Drawing Project
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Anamorphic art is piece of work which occurs when an image is projected on a piece of paper, and from all but one point, it is distorted.
For this project, we played with the idea of anamorphic art and creating 3D art by means of projecting an image through a clear frame, and onto a paper, which explains the distortion when it’s seen from different perspectives. The images picked for this project were first traced onto a clear piece of glass or plastic that was placed in a frame propped up. Working in teams of two, one person sat behind the frame and directed the other person to place certain points of the image on the paper. These dots were then connected by lines and shaded so the shape looks 3D. The most difficult thing about this project presented itself when my partner and I started to draw our shape’s lines. The shape we chose to draw has many parallel lines, but when we started to draw them, they were skewed and unparalleled. To overcome this, we messed with placing of the lines, always referring back to the original image for reference. After working through this problem, our project turned out great! |
One and Two Point Perspectives
Trigonometry
The table to the right shows the raw data collected outside. Down below is the trigonometry used to figure out the height of each object. East Telephone Pole Tan13=h/x Tan7=h/(x+115) h= xTan13 h=Tan7(x+115) xTan13=Tan 7(x+115) Distribute xTan13=xTan7+ 115Tan7 Subtract ‘x’Tan15 to get ‘x’ on the same side XTan13- xTan7=115Tan7 UN-distribute X (Tan13-Tan7)=115Tan7 Get ‘x’ by itself X=(115Tan7)/(Tan13-Tan7) X= 130.641… X is the distance the angle of elevation was measured from to the object. Plug x into first equation to solve for h. H= xTan13 H= 30.161… Since the person measuring the angle had an eye height of 5ft, that amount was added to the height listed above. H= 35.161… South Tree Tan20=h/x Tan15=h/(x+75) h= xTan20 h=Tan15(x+75) xTan20=Tan 15(x+75) Distribute xTan20=xTan15+ 75Tan15 Subtract ‘x’Tan15 to get ‘x’ on the same side XTan20- xTan15=75Tan15 UN-distribute X (Tan20-Tan15)=75Tan15 Get ‘x’ by itself X=(75Tan15)/(Tan20-Tan15) X= 209.289… Plug x into first equation to solve for h. H= xTan20 H=76.175… Since the person measuring the angle had an eye height of 5ft, that amount was added to the height listed above. H=81.175… West Rock Tower Tan20=h/x Tan15=h/(x+45) h= xTan20 h=Tan15(x+45) xTan20=Tan 15(x+45) Distribute xTan20=xTan15+ 45Tan15 Subtract ‘x’Tan15 to get ‘x’ on the same side XTan20- xTan15=45Tan15 UN-distribute X(Tan20-Tan15)=45Tan15 Get ‘x’ by itself X=(45Tan15)/(Tan20-Tan15) X=125.57366 X is the distance the angle of elevation was measured from to the object. Plug x into first equation to solve for h. H= xTan20 H=45.705… Since the person measuring the angle had an eye height of 5ft, that amount was added to the height listed above. H=50.705 |
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Hexaflexagons
To create this fun 3D geometric art piece, we used a template, as shown below with different patterns, to color and then put together. The end result is a flexible hexagon that uses rotational symmetry to create patterns within its own shape.
I really like how most of my faces of my hexaflexagon turned out. The only face I wish I could redo are the yellow circles inside green diamonds. This is one face I intentionally used rotational symmetry and it didn't turn out how I thought it would. To fix it, I would not rush though measuring out my shapes and visualize how it would look when I put it together. I learned that I like to draw symmetrical shapes and coloring.
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