Closed 3-module cube.

The three modules all together. Student: Eugene Wong, SFSU - E.W.

Partially open 3-module cube.

One module has been removed from the set. E.W.

3 separate cubic modules

Three separate modules. E.W.

Identical modules

The three modules are identical in surface area, volume, and orientation (symmetry). E.W.

Cube module complete template.

The two colors differentiate the internal surface from the external. SFSU, E.W.

Basic sections of the square

The basic square grid determines what type of sections can be performed.

External fold-out surface - one module of three

Various sections of the face. Fold-out model of exterior surface of single module (1/3 of cubic volume.)

Axonometric drawing of cube

The modules of the cube are visualized using axonometric projections.

Cube - two parts (of three)

All surfaces of the cubic module, internal and external, are determined exactly by geometric construction, using compass, triangles, and ruler.

Sets of 3-module cubes

Module triplets combine to form various complete cubes. VCU, Richmond, VA.

Cube 2-module process

Progressive sectioning and rotations of the modules on the plane. External surface. Drawing by Jay Moscardini - J.M.

Cube full template - two modules

Two-module cube. Full template of one of the modules. J.M.

Two-module isometric view

Two modules in exploded axonometric view. J.M.

Two-module cube

Cube made of two identical parts. Cube by Elizabeth Poletti. SFSU, 2010.

Two-module cube 2

Another example of two-module cube. Student: Cecily Cermak.

12-module cube

A cube comprised of 12 identical modules. Closed state. Cube by Aliek Bertolucci - A.B., SFSU.

12-module cube 2

Partially open state. A.B.


Fully open state. A.B.

Cubic chain 1

Closed cubic chain composed of 24 modules (6 modules x 4 cubes), unfolded. Design by Florence Yuen. Instructor: Pino Trogu. San Francisco State University, Fall 2010.

Cubic chain 2

Cubic chain, partially folded. Design by Florence Yuen. Instructor: Pino Trogu. San Francisco State University, Fall 2010.

Cubic chain 3

Cubic chain, folded back into its minimal volume of 4 cubes. Design by Florence Yuen. Instructor: Pino Trogu. San Francisco State University, Fall 2010.


Cube Section

Communication Vehicles I - Freshman Foundation, Virginia Commonwealth University - VCU and Drafting and Sketching for Design, San Francisco State University

In this 3-D project, a square is first sectioned into two parts. The section is repeated on the six faces of the cube, which are then recombined to obtain more complex external surfaces. The external sections determine how the interior will be divided and a model is made, splitting the cube into three equal complex volumes. Based on the work of Paul Klee and Giorgio Scarpa. In some cases, a simpler cube can be made with only two modules. In a very complex case, 12 modules were used. In another variation, the modules in each cube can be linked to those in a another cube, forming open or closed chains that can be folded back into minimal cell volumes. An interesting question is whether such folding is always possible, regardless of the type of initial section of the cubic face. More information about the work of Giorgio Scarpa can be found at the URL below.

24-module cubic chain (1.2 MB) application/pdf
cube section handout SFSU spring2010 (2.7 MB) application/pdf
Cube section drawings reference (4.7 MB) application/pdf
Animation Wong cube SFSU 2007 (1.10 MB) video/quicktime
Vehicles I short Syllabus (560 KB) application/pdf
Vehicles I long Syllabus (1.98 MB) application/pdf
Cube Section Models (1.07 MB) application/pdf