Final answer:
To sketch shapes as instructed by the Surface Sketching Primer, one must draw a rectangle on a specified plane, a parallelepiped, a cereal bowl, a cylinder along the y-axis, and an ice cream cone with a spherical scoop.
Step-by-step explanation:
To sketch various shapes using the techniques described in the Surface Sketching Primer, you will follow different approaches for each shape:
- (a) A rectangle in the horizontal plane, z=2: Draw a rectangle with its plane lying at z=2 on the z-axis. This means the rectangle is parallel to the x-y plane but 'lifted' upwards along the z-axis by 2 units.
- (b) A rectangle in the vertical plane, y=1: Sketch a rectangle with its plane at y=1 on the y-axis. The rectangle will be parallel to the x-z plane and 'shifted' 1 unit along the y-axis.
- (c) A parallelepiped: This is a 3D shape where all faces are parallelograms. Start with a rectangle and draw parallel lines from each vertex, and connect them with another rectangle 'shifted' from the first.
- (d) A cereal bowl with a circular rim: Sketch a semi-circle for the rim's projection, and then draw a curved line downwards from each end to form the bowl.
- (e) A cylinder aligned with the y-axis: Draw two ellipses, one on top of the other, and connect them with straight vertical lines to represent the curved surface of the cylinder aligned along the y-axis.
- (f) An ice cream cone with a spherically shaped scoop of ice cream on top: First, draw a triangle for the cone. On top of this, sketch a semi-circle to represent the ice cream scoop.
Each of these sketches requires an understanding of how the shapes are oriented within a 3D coordinate system, as well as the ability to project 3D objects onto a 2D plane.