Introduction
My grandmother always told me that "in the world of memorabilia, time is both a thief and a savior".
Having always encouraged me to collect items that hold sentimental value, she would often ex-
press how they can transport us back to cherished moments in time. For me, these objects came
in the silhouette of chess pieces. As an avid chess player, I maintain an assorted collection of
chessmen from different strands of my life.
Recently-however-I wanted to recreate and paint these pieces to provide a more personal
touch and elevate their sentimental value. In the hope of viewing these past relics through a
more modern lens, I opted to recreate older designs using 3D modeling and compositing software.
However, given the expense of the printing filament (Acrylonitrile Butadiene Styrene ' - $35 per
KG), I realized that estimating the optimal amount of material for printing was essential for both
financial and aesthetic reasons.
After some research, I discovered that the volume and lateral surface area of each piece could
be determined using the principles of calculus. By modeling the exact shape of each piece, I
could determine the amount of material required for each print, thereby minimizing waste and
costs. In order to further minimize costs and wastage, I will only be modeling the king from the
recognizable Staunton design (as this was the very first chess piece in my collection). While one
could simply submerge a chessman in water and observe the displacement of water to calculate
the volume, the 3D-printing-filament being used is porous and absorbent which means that the
volume of the object is suseptible to change in the liquid medium. Furthermore, treated partially-
infilled ABS floats on water, which could render the displacement method ineffective.
Therefore, this internal assessment is a natural extension of my dilemma. By engaging with
and modeling the aforementioned chess pieces (particularly the Staunton king), I strive to better
understand the underlying geometry of the pieces and optimize the printing process.