Architect's arrangement

The architect arrangement is a method of descriptive geometry in order to create a graphic image in central projection for a given outline and floor plan of a spatial object . Although a corresponding method also exists for inclined picture panels, only the much simpler procedure for the case of a vertical picture panel is described here. The architect's arrangement is somewhat similar to the incision method used to construct parallel projections. However, the advantage of parallel straight lines and edges can only be used here via vanishing points.

Description of the procedure for a vertical picture panel

Central projection: cuboid in architect's arrangement
Central projection: Cuboid in architect arrangement solution

The example (see picture) shows the floor plan and elevation of a cuboid as well as the floor plan of the image table and the eye point. In the elevation, the height of the eye point is determined by the elevation of the horizon . ${\ displaystyle \ pi '}$${\ displaystyle O '}$${\ displaystyle h ''}$

The floor plan and elevation are now positioned in the following order:

a) The floor plan is placed on the drawing surface in such a way that the picture can be drawn in central projection above it.
b) The horizon of the picture is drawn in with sufficient distance as a parallel to .${\ displaystyle h}$${\ displaystyle \ pi '}$
c) The elevation is created laterally so that it lies on the same straight line as .${\ displaystyle h ''}$${\ displaystyle h}$
d) The plan of the main point is the section of the perpendicular from up . The intersection of this perpendicular with the horizon is chosen as the main point (of the image).${\ displaystyle H '}$${\ displaystyle O '}$${\ displaystyle \ pi '}$${\ displaystyle H}$

With this arrangement, image points constructed in the floor plan can be transferred (open ) on a folder (perpendicular closed ) into the picture. ${\ displaystyle \ pi '}$${\ displaystyle \ pi '}$

The further steps (see numbering in the solution):

1. The floor plans of the vanishing points of the horizontal square edges are determined on and${\ displaystyle F '_ {1}, F' _ {2}}$${\ displaystyle \ pi '}$
2. Transferred to the picture on the horizon via folder. (The vanishing point of a straight line is the point of intersection of the parallel line to through with the image table, see central projection .)${\ displaystyle g}$${\ displaystyle g}$${\ displaystyle O}$
3. The left edge of the cuboid is in the panel. It must appear in full on the folder in the picture.
4. The upper and lower point of this edge can be taken from the elevation and
5. drawn in the picture.
6. The connection to the vanishing point provides straight lines on which an upper and lower edge of the cuboid lie.${\ displaystyle F_ {1}}$
7. The projection of the front edge (in plan)
8. and the associated folder
9. result in the front edge (in the picture).
10. The straight lines connecting the new cuboid points with the right vanishing point ,${\ displaystyle F_ {2}}$
11. the projection of the right edge in the floor plan and
12. the associated folder
13. cut (from the straight edge to the right vanishing point) the right cuboid edge.

The hidden vertical edge is constructed analogously to the right edge or parallelism is used, i.e. H. Connections to , from. ${\ displaystyle F_ {1}, F_ {2}}$

literature

• Rudolf Fucke, Konrad Kirch, Heinz Nickel: Descriptive Geometry. Fachbuch-Verlag, Leipzig 1998, ISBN 3-446-00778-4 .
• Cornelie Leopold: Geometric Basics of Architectural Representation. Verlag W. Kohlhammer, Stuttgart 2005, ISBN 3-17-018489-X .