# Circular repetition of objects

## Introduction

The operation Circular repetition of the objects permits for the duplication of the objects N times around an axis.

## Structure of the operation Circular repetition

The operation Circular repetition of objects is described by:

• A coordinate system for the creation of points (active coordinate system in the list available on the graphic View)
• A list of objects to repeat
• A rotation axis (an existing line, or a reference line)
• The angle of repetition
• The number of repetitions
• The appearance of the resulting objects (color and visibility)
Dialog box Illustration

## Result

The creation of an operation of Circular repetition has as results :

• A geometric operation CIRCULAR_1.
• As many geometric operations as the objects repeated CIRCULAR_1_1, CIRCULAR_1_2… (it permits to isolate each object duplicated and to use them independently then).
• As many objects as the objects to turn symmetric OBJ_ CIRCULAR _1_1, OBJ_ CIRCULAR_1_2, …
• The addition of the geometric operation CIRCULAR_1 in the list of geometric operations of each of origin objects
• The addition of the geometric operations CIRCULAR_1_1, CIRCULAR_1_2… in each of the objects resulting from the repetition (OBJ_ CIRCULAR_1_1, OBJ_ CIRCULAR_1_2, …)

## Access

The different accesses of the operation Circular repetition are:

• By menu: Tools > Circular repetition > New
• By icon:

## Creation of a circular repetition

The creation process of a circular repetition is presented in the table below.

Stage Description
1 Choice of the coordinate system of creation
2 Opening the dialog box Circular repetition
3

Choice of the name of the generated Geometric operation

(by default: CIRCULAR _1)

4 Choice of objects to repeat
5 Choice of rotation axis of the repetition
6 Enter the the angle of repetition
7 Enter the number of repetitions
8 Validation by clicking on OK

## Limitations

In the modification only the axis of rotation, the angle of repetition and the number of repetitions are modifiable.

The list of objects to repeat is not modifiable.

## Example of circular repetition

By means of an example, here are the geometric operations and the objects that are created during an operation of circular repetition of objects.

Studied example: repetition of a slot (number of repetitions = 7, angle of repetition = 45°)

Before repetition After repetition
Data Tree
Objects
Geometric operations

1 geometric operation:

• EXTRUDE_1 : creation of OBJ_EXTRUDE_1

8 new geometric operations:

• (Parent) CIRCULAR_1 : creation of the repetition
• (Son) CIRCULAR_1_1 : creation of OBJ_CIRCULAR_1_1
• (Son) CIRCULAR_1_7 :creation of OBJ_CIRCULAR_1_7
Building tree of the origin object (slot)
Building trees of the resulting objects _
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