How To Draw A 3d Plane

How to Draw a 3-D Function, Step - By - Pace

Step 1. Describe x, y, and z axes. It is helpful to draw the x and y axes as if you were looking downward on them at an bending. This avoids confusing overlaps in your graph.

Step 2. Roughly determine the domain of the function you lot will be graphing. Refer to the What Size Fence 3D? tutorial for help with this footstep. For now nosotros will presume you are using the unit of measurement contend. If you are not, supervene upon the following values with those you wish to utilise.

Draw the three intersecting planes:

z = 0 , -1 < ten,y < ane

y = 0 , -i < ten,z < one

x = 0 , -1 < y,z < 1

Pace 3. Draw the box enclosing the three planes just drawn. Later you have completed these get-go three steps once or twice for yourself, feel free to impress out and photocopy this epitome for time to come graphing.

Stride iv. Calculate the slice curves for ten = 1, 0, -i and draw them in on the appropriate planes. Refer to Part I. of the Projections and Mappings tutorial for help with mapping planes onto boxes.

Accept f(x,y) = ten² - y² for instance.

Step 5. Draw the slice curves for y = 1, 0, -1 onto the appropriate planes.

Step 6. Erase the pieces of drawn curves which lie behind other drawn curves in three-space.

Step 7. Erase inner curves afterward interpolating the function'southward shape, then shade realistically. Refer to the Realistic 3-D Shading tutorial for assistance with this step.

An alternate way of graphing the aforementioned role is to translate information technology into polar coordinateds and graph it using a cylindrical contend. Refer to PART Two. of the Projections and Mappings tutorial for assist with this.