O:\2011-2012-1\e-GCon1\drawing3_2010_fall.doc Geometrical constructions I. Year 2011/12 1 st (fall) semester 3 RD DRAWING Tint-drawing, size A2 Deadline for delivery: Dec. 6 1) Let the central-axial collineation given by {C, a, v}. Plot two lines l and m: l intersects the axis, m is parallel to the axis. Construct the image of the lines. (IMAGE OF LINE) 2) Let the central-axial collineation given by {C, a, v}. Construct a regular hexagon and its image. (IMAGE OF HEXAGON) 3) Let the central-axial collineation given by {C, a, P P’}. Construct a regular octagon and its image. Construct the vanishing line of the collineation. (IMAGE OF OCTAGON) 4) Construct a perspective-regular tiling of squares (checkerboard of min. 9 squares) with two vanishing points. (REGULAR TILING) 5) Construct approximate curve of golden spiral. (GOLDEN SPIRAL) 6) Construct a regular pentagon, and five more pentagons that are the reflections of the first one with respect to each side.(REGULAR PENTAGONS) 7) Construct a regular star-heptagon by using approximate construction method. (REGULAR STAR- HEPTAGON) Nov. 15, 2011 Budapest dr. Pál Ledneczki associate professor