Here you see a truncated cube with edges of cm. The points , and are the centers of the edges they are situated on.
Draw a "parallel" projection of this truncated cube with an angle of and a scaling factor of .
Make a life-size drawing of ΔPQR at full scale.
The diagonal surface is a pentagon. Make a life-size drawing of this diagonal surface of the truncated cube.
Given is a regular pyramid with the square as the base. The edges of are cm and the height of the pyramid is cm. is the intersection point of and .
Draw a "parallel" projection of this pyramid on a grid.
Divide all edges into three equal parts. Explain what you do.
Connect the points in the base so that you get an octagon.
Is this octagon the base of a regular octagonal pyramid? Explain.
When you connect the centers of the sides of a cube, you get an octahedron (regular eightsided polyhedron) . In this octahedron cm.
Draw a parallel projection of this octahedron.
What shape do all sides of the octahedron have? Draw one of them full size.
What solid has vertices that are the centers of the sides of the octahedron?
Here you see a so called hipped roof, a roof with a rectangular base with the roof-ridge situated exactly over the middle of the base. The roof itself consists of twee equilateral triangles and two symmetric trapeziums.
Draw a parallel projection of this roof in a grid with scale .
The roof itself consists of two isosceles triangles and two symmetric trapeziums. Use measurements in a suitable plane to determine the height of those two isosceles triangles. give your answer in whole dm. Draw one of those triangles on a scale of 1:100.
Determine the height of the two trapeziums by measuring in a suitable figure. Give the height in whole dm and draw one trapezium with scale 1:100.
Beside you see a photo of the building "Willemswerf" in Rotterdam and below you see a view from above of a very simplified version of the building. This strongly simplified version has a height of m. The bend in the building starts m above the ground.
Draw your own parallel projection of the simplified version of the building "Willemswerf" in a grid with scale .
The bend in the building is trapezium shaped. Make a scaled drawing of that plane with scale .