Window variables – Texas Instruments PLUS TI-89 User Manual

Page 175

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158 Chapter 10: 3D Graphing

10_3D.DOC TI-89/TI-92 Plus: 3D Graphing (English) Susan Gullord Revised: 02/23/01 11:00 AM Printed: 02/23/01 4:22 PM Page 158 of 22

10_3D.DOC TI-89/TI-92 Plus: 3D Graphing (English) Susan Gullord Revised: 02/23/01 11:00 AM Printed: 02/23/01 4:22 PM Page 158 of 22

The Window Editor maintains an independent set of Window
variables for each

Graph

mode setting (just as the Y= Editor

maintains independent function lists). 3D graphs use the following
Window variables.

Variable

Description

eye

q

, eye

f

,

eye

ψ

Angles (always in degrees) used to view the graph.
Refer to “Rotating and/or Elevating the Viewing Angle”
on page 162.

xmin

,

xmax

,

ymin

,

ymax,

zmin, zmax

Boundaries of the viewing cube.

xgrid, ygrid

The distance between

xmin

and

xmax

and between

ymin

and

ymax

is divided into the specified number of grids.

The

z(x,y)

equation is evaluated at each grid point

where the grid lines (or grid wires) intersect.

The incremental value along

x

and

y

is calculated as:

x increment =

xmax

ì

xmin

xgrid

y increment =

ymax

ì

ymin

ygrid

The number of grid wires is

xgrid + 1

and

ygrid + 1

. For

example, when

xgrid = 14

and

ygrid = 14

, the xy grid

consists of 225 (15

×

15) grid points.

ncontour

The number of contours evenly distributed along the
displayed range of z values. Refer to page 168.

Standard values (set when you select

6:ZoomStd

from the „

Zoom

toolbar menu) are:

eye

q

= 20.

xmin =

ë

10.

ymin =

ë

10.

zmin =

ë

10.

eye

f

= 70.

xmax = 10.

ymax = 10.

zmax = 10.

eye

ψ

= 0.

xgrid = 14.

ygrid = 14.

ncontour = 5.

You may need to increase the standard values for the

grid

variables

(

xgrid

,

ygrid

) to ensure that enough points are plotted.

Window Variables

Note: If you enter a
fractional number for xgrid
or ygrid, it is rounded to the
nearest whole number

1.

Note: The 3D mode does
not have scl Window
variables, so you cannot set
tick marks on the axes.

Note: Increasing the grid
variables decreases the
graphing speed.

z(xmin,ymax)

z(xmax,ymin)

z(xmin,ymin)

z(xmax,ymax)

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