When the space is chosen, you can construct different figures in it. Construct Dialog (Figure 4) opens by pressing Add button from Construct group. This dialog contains two tabs: Points — for construction of points by their coordinates and Faces — for construction of faces by specifying their points.
Constructing a point is as simple as choosing its coordinates in Lineal Chooser (presented in Figure 4, at top picture, green bordered) and pressing Add point button (see below how to use Lineal Chooser). Each point gets the unique name, containing capital letters and digits, starting with A0. Each new point name have the letter part as previous point and the number part increased by 1. So after A0 follow A1, A2 and so on. If you press New group button, the next point name will be formed by the next letter followed by 0. In this case, after A2 follows B0 point name (after Z point group follows AA, AB and so on). When new space is chosen, the point names are reset.
Point dots and names are visible in space only when some dialog is open. Once the dialog is closed, dots and names are hidden. You can toggle points visibility by pressing N key.
Points don’t make part of space geometry and normally aren’t shown (when all dialogs are closed). In order to construct a true geometric point with the current color, a one–point face should be constructed. It is automatically constructed with the point if Also face checkbox is checked.
Most faces are constructed from Faces tab using Construct Chooser (presented in Figure 4, at bottom picture, blue bordered; see below how to use it). When you are sure that face name shown in Face: output is correct, you can construct it with the current color by pressing Add face button.
Points Creation with Lineal Chooser. Lineal Chooser allows you to select normalized point coordinates (column) as well as generalized orthogonal motion (square) matrix and orthonormal basis of a lineal (rectangular matrix) using homogeneous coordinates.
In case of points, the origin has coordinates (1 : 0 : ... : 0). In order to change shown coordinates or matrix you need to select two radio boxes. Then Measure spinner becomes active and you can change its value. If you select 0 and i radio boxes, measure means distance of translation along OXi axis. If you check i and j checkbox, measure means angle of rotation in plane XiOXj around the origin from lower to higher axis index.
You can modify the measure value by hand, but in this case the matrix coordinates will not be refreshed automatically. In order to force it to refresh, you can select / unselect some radio box, or click on Points tab title. The Reset button resets coordonate matrix to initial value.
Constructing Faces with Construct Chooser. Construct Chooser allows you to select a valid face name. In Point(s) input you can specify point name(s) which this face will contain. Points order doesn’t matter. You can write them toghether or separated by a space or any other character(s), different from capital letter and digit. After pressing + Points button all valid points in correct order will be added to Face output, so you can see the face name before using it. If you want to remove some point(s) from face name, you can write its name (their names) in Point(s) input and press - Points button.
A face can have the number of points equal to at most space dimension and at most 3. If Point(s) editbox contain more valid points then that, only the first (in specified order) points will enter in the face.