Buckeye VR

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You’ll learn Buckeye VR.

Buckeye VR will allow us plot parametric curves and surfaces. You can install Buckeye VR by scanning this QR code:

Or by visiting these links:

For Android: Here
For Mac: Here

A curve

First, we’ll look at an example of a curve:

//Example Curve.bvr
 

 
// Parametric curve
 
helix=parametricCurve
 
helix.setMinMax=t,-10,10
 
helix.setEquation=x,(cos(t))
 
helix.setEquation=y,(sin(t))
 
helix.setEquation=z,(.3*t)
 
helix.setSegmentCount=70
 
helix.setThickness=0.2
 
helix.color=red
 
helix.spawn

You can see this plotted in Buckeye VR here. If you have the app you can scan the following QR code:

A surface

Second, we’ll look at a surface:

                                                                  

                                                                  
// Example Surface.bvr
 

 
// Parametric surface
 
cyl=parametricSurface
 
cyl.setMinMax=s,-10,10
 
cyl.setMinMax=t,0,6.6
 
cyl.setEquation=x,(cos(t))
 
cyl.setEquation=y,(sin(t))
 
cyl.setEquation=z,(.3*s)
 
cyl.setSegmentCount=20
 
cyl.color=blue
 
cyl.spawn

You can see this plotted in Buckeye VR here. If you have the app you can scan the following QR code:

Combined

You can combine plots simply by listing them after each other.

// Example Combined.bvr
 

 
// Parametric curve
 
helix=parametricCurve
 
helix.setMinMax=t,-10,10
 
helix.setEquation=x,(cos(t))
 
helix.setEquation=y,(sin(t))
 
helix.setEquation=z,(.3*t)
 
helix.setSegmentCount=70
 
helix.setThickness=0.2
 
helix.color=red
 
helix.spawn
 

 
// Parametric surface
 
cyl=parametricSurface
 
cyl.setMinMax=s,-10,10
 
cyl.setMinMax=t,0,6.6
 
cyl.setEquation=x,(cos(t))
                                                                  

                                                                  
 
cyl.setEquation=y,(sin(t))
 
cyl.setEquation=z,(.3*s)
 
cyl.setSegmentCount=20
 
cyl.color=blue
 
cyl.spawn

You can see this plotted in Buckeye VR here. If you have the app you can scan the following QR code:

Play around with it

You can play with Buckeye VR. Some things to note:

You should use a text editor, not a word processor to do your work. TextEdit is a good text editor for Macs, and Notepad is a good text editor for Windows. If they produce *.rtf files, you may need to adjust your preferences.
You must start your file with
```
    \\ NAME.bvr
     
```
You must name each object in your graph. For example, the curve above is named helix and the surface is named cyl. Each object should have a distinct name.
I suggest you only use the variable $t$ for parametric curves and the variables $s$ and $t$ for parametric surfaces. Full disclosure, the variables $x$ , $y$ , and $z$ will also work.
All expressions for the components of your curve or surface must be contained in ( and ).
Often the domain will need to be enlarged to make a curve or surface with no holes. Note, in the parametric surface example above, $t$ should run from $0$ to $2\pi \approx 6.28$ . However in the code, it runs from 0 to 6.6. You may have to resort to similar tricks.
You can use the following colors for curves and surfaces: black, blue, cyan, aqua, grey/gray, green, magenta, fuchsia, red, white, yellow.