Examples of style settings, Be aware of possible optical illusions – Texas Instruments PLUS TI-89 User Manual

Page 183

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166 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 166 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 166 of 22

To display the valid

Style

settings,

highlight the current setting and
press B.

¦

WIRE FRAME —

Shows the 3D

shape as a transparent wire
frame.

¦

HIDDEN SURFACES —

Uses

shading to differentiate the
two sides of the 3D shape.

Later sections in this chapter describe

CONTOUR LEVELS

,

WIRE AND

CONTOUR

(page 167) and

IMPLICIT PLOT

(page 171).

The

eye

angles used to view a graph (

eye

q

, eye

f

, and

eye

ψ

Window

variables) can result in optical illusions that cause you to lose
perspective on a graph.

Typically, most optical illusions occur when the

eye

angles are in a

negative quadrant of the coordinate system.

Optical illusions may be more noticeable with box axes. For
example, it may not be immediately obvious which is the “front” of
the box.

Looking down

from above the xy plane

Looking up

from below the xy plane

eye

q

= 20, eye

f

= 55, eye

ψ

= 0

eye

q

= 20, eye

f

= 120, eye

ψ

= 0

To minimize the effect of optical illusions, use the

GRAPH FORMATS

dialog box to set

Style = HIDDEN SURFACE

.

Examples of Style
Settings

Tip: WIRE FRAME is faster
to graph and may be more
convenient when you’re
experimenting with different
shapes.

Be Aware of
Possible
Optical Illusions

Note: These examples
show the graphs as
displayed on the screen.

Note: These examples use
artificial shading (which is
not displayed on the screen)
to show the front of the box.

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