LavishNav:Triangle (Region Type)

Introduction

What is a Triangle?

If you don't know what a triangle is, but you know how to read, well... I'm not sure what to tell you. Here's a link to an official definition. http://dictionary.reference.com/search?q=triangle

A LavishNav triangle performs as a 2-dimensional triangle for containment algorithms (e.g. Z is ignored), but retains the Z coordinate to determine the center point and for retrieval of each point.

Triangle Behaviors

Containment

A triangle contains a given point if the given point falls within the 3 triangle points in 2 dimensions. Z coordinate is ignored.

Nearest Point

Not yet implemented: The nearest point to a given point will presently be the center point.

Center Point

The center point within this region is the average location of its 3 points (A + B + C / 3), in 3 dimensions.

Triangle Characteristics

Triangles are descendants of the base region type. Any characteristics of the base region type may be applied in addition to the triangle-specific characteristics described below.

Triangle-Specific Properties

• Point

Container element for each individual point for the triangle. Three points define a triangle. If less than three points are given, the remaining points default to 0,0,0.

Point properties

• X

X-coordinate. Defaults to 0.

• Y

Y-coordinate. Defaults to 0.

• Z

Z-coordinate. Defaults to 0.

Programming with triangles

LavishScript

lnavtriangle Object Type

.NET

Triangle class

Examples

Example XML code

<Triangle Name="Trifecta">
   <Point>
     <X>1</X>
     <Y>1</Y>
     <Z>1</Z>
   </Point>
   <Point>
     <X>2</X>
     <Y>2</Y>
     <Z>2</Z>
   </Point>
   <Point>
     <X>3</X>
     <Y>3</Y>
     <Z>3</Z>
   </Point>
</Triangle>

See Also

• LavishNav