To modify a direction, click over its graphic image, or write its identification (name and number) on the Direction entry. To modify a list of directions, press the button List (after creating the list of directions with Direction->Select). Parameters for empty entries or Local choices remain unchanged.
To change a direction name write the new name in the Direction entry, followed by the direction number (GAMGI needs the number to identify the direction). To change the name for a list of directions, press List first and then write the new common name in the Name entry.
In the Schmidt projection, the point to project (above) is rotated around the point of the sphere closer to the user (above), keeping the same XY direction, until both points have the same Z coordinate, and then divided by square root of 2, to be inside the circle with radius R at coordinate Z, giving the final representation.
Every family of crystallographic planes or directions can be described by the intersection of the plane or direction passing through the origin O with a sphere of radius R centered at O, defining a circumpherence or a point, respectively. These in turn can be projected on the circle parallel to the screen (constant Z coordinate) that divides the sphere in half, with radius R and origin O. In GAMGI, points in the half-sphere farther from the user are hidden, so only half-circumpherences and points above are visible.
A plane can always be described by its normal vector, and a direction by its plane perpendicular, so both representations are valid for crystallographic planes and directions.
In a Wulff projection, angles between planes are given by the angles between the traces, so angles are preserved. This is not true for the Schmidt projection. The Wulff projection is mostly used in materials science.
In a Schmidt projection, minor circles on the sphere are distorted when projected but the areas are preserved. This is not true for the Wulff projection. The Schmidt projection is mostly used in structural geology.