O:\2011-2012-1\e-GCon1\drawing3_2010_fall.doc

Geometrical constructions I. Year 2011/12 1st (fall) semester

3RD 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