Descriptive Geometry 1
Year 2011-2012
1st (fall) semester
2nd
DRAWING
Tint-drawing, size A2
Deadline for delivery: Nov. 2
Titles:
CONSTRUCTION OF SHADOWS; INTERSECTION OF POLYHEDRON AND
PLANE; INTERSECTION OF TWO POLYHEDRA; MODELING
1)
Represent
a)
a regular pyramid
b)
oblique prism
a)
regular pentagon
b)
regular hexagon
base and intersect by a parallelogram lying in a
a)
slanting
b)
spanned
plane. The sides of the parallelogram are first and second principal lines respectively.
Construct the polygon of intersection, all shadows and shades, show the visibility.
2)
Construct the intersection of two polyhedrons. One of them is a regular prism with
square base and horizontal lateral edges, the other one is a
a)
pyramid
b)
oblique prism
with regular pentagon base standing on the first image plane. Construct
a)
partial intersection
b)
complete interpenetration.
Show the visibility of polyhedron standing on the first image plane such that the
horizontal prism and the common part were removed.
3)
Represent
a)
an oblique prism with regular hexagon base
b)
lateral surface of a pyramid with regular pentagon base opening up
and a straight line segment in general position. Construct all shadows and shades,
show the visibility.
4)
Construct the shadows and shades of the staircase given in the Figure 2.
5)
Construct the shadows and shades of a building given in the Figure 1. The cast
shadow is visible on the ground plane (π1)
6)
Let a straight line a and two points A and Ox be given. Represent a right prism with
regular pentagon base. The base plane is the plane [A,a], one of the vertices of the
pentagon is A and the centre of the pentagon parallel to the base is Ox. Represent the
lateral surface of the prism; show the visibility.
Oct. 5, 2011, Budapest
dr. Pál Ledneczki
associate professor