Problem Four: Fragments
Spend 50% of your time designing a geometric solid that is interesting and beautiful and the rest of the time working with the fragments. If the proportions of the original are beautiful to start with you have a better chance of getting beautiful fragments from it. You must love the proportions that you’ve made. If you choose to work with two solids, take time and care to create forms that complement each other before you begin fragmenting them. Keep all of your three-dimensional sketches. Don’t destroy your early attempts as you create more successful compositions. You will find it very helpful to compare them.
Problem Five: Planar Construction
Planar construction should express:
Complementary contrast in types of planes
Complementary contrast in proportion
Harmony between the edges of planes and their axes: The edges should reflect the movement of the planes.
Dependent balance: The positions of individual planes and groups of planes should ‘add up’ to create a sense of visual balance from all directions.
Space as position: Each plane should have a distinct direction in space. The number of positions should equal the number of individual planes.
Space as opposition: When planes have discontinuous axes (i.e. the axis of one does not lead to the axis of another), visual continuity across space is achieved by the way the surface slants “add up.”
Group movement: The direction, axis, and slant (tipping of the surface) of a plane are continued by a change in the axis and slant of another plane. The visual character of the transition is determined by the angle of the line of intersection between the two planes. The intersection should happen at a place that feels natural in space—it should not feel like an arbitrary bend.