Student activities based on the book
Daniel Goffinet, who teaches mathematics at the Lycée Fauriel,
in Saint-Etienne, France,
wrote to me in the summer of 2004.
He had seen my folding-box article in the College Mathematics Journal,
based on my section, "Folderol 1: A New Wrinkle for an Old Folding Problem."
He enjoyed the article and decided to make a problem of it
for his calculus students when they returned in September.
He observed that I could have said more about the conditions
under which the volume achieves a maximum.
(He was right, though I actually said more in the journal article
than in the Folderol section!)
One needs to take into account the physical limits
of the box design, as well as the function to be maximized,
when determining the domain over which we are optimizing.
Harvard University Graduate Scool of Design: GSD1101, Introduction to Design and Visual Studies in Architecture, Fall 2013
In September, Daniel reported to me:
"I have finished reading the papers about your box-volume (I had
added questions about the A4 paper size and the construction of the lengths
that arise in the formulas)
I hope that all the students had a good time with this
somewhat different folding problem!
It proved to be a very good divider among those students :
- about half of them were aware of the domains problems,
some solved it with A4 size or a square ... some of them went all the way
to study the case of "any a and b"
- about half of them were unaware of the domains problems
... they merely computed derivatives, plugged some numbers in the formulas,
quite blindly ... I got 5 or 10 volumes measured in square meters."
Inaki Abalos, Katy Barkan, Jeffry Burchard, Kiel Moe, Megan Panzano, Ingeborg Rocker, Cameron Wu
chose as their project 3 in the Harvard Graduate School course 1101
a project involving piano-hinged dissection as exemplified in
Chapter 12: "From Fifi to Zulu and Back".
"The technique of hinged polyhedral dissection (3-D only, not 2-D) will serve as a geometric armature which will
regulate spatial relationships between the two architectural proposals. You are NOT designing a singular kinetic
building solution capable of adaptation. Rather, you must propose two distinct yet related organizations. The
hinged dissection’s particular characteristic of physical transformation whereby interior surfaces/volumes become
exterior and vice versa is compatible with the requirement to propose opposing strategies of thermodynamic
configuration. It imbricates the two proposals in a coherent geometric logic while simultaneously producing
remarkable spatial variations which may facilitate the elaboration of other related architectural ideas."
Don't ask me what this means. I'm not an architect!
Last updated June 13, 2014.