MANUAL > TUTORIALS > REAL WORLD OBJECTS


REAL WORLD OBJECT EXAMPLES

It is possible to make many graphs that look like objects in the real world with your equations. Here are a few examples:

1. YOU CAN MAKE IMAGES THAT RESEMPBLE REAL WORLD OBJECTS:
   1. Try Making a Palm Tree.
   1. Note: This move will not work in the Lava Tube world.
   2. Click the Reset View button .
   3. Enter t = 0 to 2*Pi.
   4. Choose Spherical.
   5. Enter r(t) = 3 + sin(21t) + 4sin(7t).
   6. Enter theta(t) = t.
   7. Enter phi(t) = sin(7t).
   8. Click Move and watch!

   
   
   

   1. Try Making a Flower
   1. Click the Reset View button again.
   2. Enter t = 0 to 2*Pi.
   3. Choose Spherical.
   4. Enter r(t) = 3cos(14t).
   5. Enter theta(t) = t + sin(28t).
   6. Enter Pi/4 +sin(7t).
   7. Click Move and watch!
   8. You can make the figure more detailed by right-clicking on it and choosing Properties.
   9. Change the Number of Segments to 800 and click OK.

   
   
   

   1. Try Making a Fish using Starting Point
   1. Fish Body
   1. Click the Reset View button .
   2. Enter t = 0 to 2*Pi.
   3. Choose Cartesian.
   4. Enter x(t) = 3cos(t).
   5. Enter y(t) = 0.
   6. Enter z(t) = cos(1.5t).
   7. Click Move and watch!
   8. Try using the External View to draw the other parts of the fish. Switch to External View using the Camera Angle menu and Navigate so you can see the fish body.
   2. Fish Tail
   1. Highlight the fish body by clicking on it. It should change colors rapidly.
   2. Under Starting Point choose Relative. Enter t = 0.
   3. Enter t = 0 to 2*Pi.
   4. Choose Cartesian.
   5. Enter x(t) = -0.2sin(t/2).
   6. Enter y(t) = 0.
   7. Enter z(t) = -t/Pi.
   8. Click Move and watch!
   3. Top Fin
   1. Leave the fish body highlighted.
   2. Under Starting Point choose Relative. Enter t = 4.22.
   3. Enter t = 0 to 2*Pi + 0.3.
   4. Choose Cartesian.
   5. Enter x(t) = sin(t/4).
   6. Enter y(t) = 0.
   7. Enter z(t) = sin(t/2).
   8. Click Move and watch!
   4. Bottom Fin
   1. Leave the fish body highlighted.
   2. Under Starting Point choose Relative. Enter t = 1.87.
   3. Enter t = 0 to 2*Pi + 1.1.
   4. Choose Cartesian.
   5. Enter x(t) = sin(t/4).
   6. Enter y(t) = 0.
   7. Enter z(t) = -0.5sin(t/2).
   8. Click Move and watch!
   5. Eye
   1. Leave the fish body highlighted.
   2. Under Starting Point choose Relative. Enter t = 0.
   3. Enter t = 0 to 2*Pi.
   4. Choose Cartesian.
   5. Enter x(t) = -5 + 0.2cos(t).
   6. Enter y(t) = 0.
   7. Enter z(t) = -0.7 + 0.2sin(t).
   8. Click Move and watch!
   6. Colors
   1. You can make the fish more colorful by changing the colors of each trail. Follow these steps to make the fish look like the image below.
   2. Select the Fish Body trail, right-click, and choose Properties.
   3. Choose yellow as the Primary color.
   4. Choose red as the Secondary color.
   5. Choose Wave as the Animation.
   6. Repeat steps 2 - 5 for Fish Tail, Top Fin, and Bottom Fin trails.
   7. Change the Primary and Secondary colors of the Eye trail to two different colors of blue using the same method as steps 2 - 5.