Final Project Lecture:
Assignment Requirements and Some Examples and Ideas for Final Project
Final Project Assignment (Pages 1 & 2):
Instructor: Derek Brueckner Instructor’s
Email: Derek.Brueckner@ad.umanitoba.ca Office: 460 ART Lab
Summary of Assignment: Create a large artwork that is 20 x 30
inches on illustration board incorporating at least fifteen mathematical
concepts. Select three “main” concepts (from the main mathematical concepts A
to I) listed below. All 15 iterations
should be clearly indicated and neatly labeled on a 20 x 30 inch acetate
overlay.
Mathematics Objectives for Assignment: From each chosen “main”
concept include at least three different iterations corresponding with each of
the chosen main mathematical concepts. So far this would total nine concepts
collectively. (Note a different concept means a distinct concept and or
distinct iteration, for example: depiction of two different locations does not
qualify as tow distinct iterations, it would only count as one iteration)
The six remaining mathematical
concepts can come from any other main mathematical concepts and iterations that
have were not previously chosen.
Art Objectives for Assignment: This assignment is evaluated on the
overall integrated design of these various fifteen mathematical concepts and
the overall composition of the entire work. Consider the assignment’s whole
visual design and composition as well as the individual main concepts and
individual iterations.
In terms of art materials demonstrate
investigations with the physicality and optics of art materials - ideally
resolving the art material characteristics: of mark making, thick and thin
applications of materials, additive subtractive processes of materials,
opaqueness and transparency of materials (editing and revising), matt and gloss
surfaces/materials, and overall clarity of intentions of materials. As well in the overall composition/design
consider interaction of shapes, colour, line, interval and the optical illusion
of space. Collectively consider how all
the above characteristics of the art materials work together.
Main Mathematical
Concepts (A to I)
|
Possible Corresponding Iterations
|
A) Euclidean
Constructions
|
Double Angle, Half Angle, Midpoint
|
B) Golden Ratio
and Fibonacci Sequence
|
Golden Triangles; Golden Rectangle; Golden Spiral,
Symbols/numbers for Fibonacci Sequence
|
C) Symmetries
|
Symmetric Objects; Frieze Patterns; Wallpaper Designs
|
D) Fractals
|
Influences of Tree Fractals iterations; Koch Snowflake;
Sierpinski Gasket; Sierpinski Carpet; Cantor Set; T-Square Fractal
|
E) Perspective
|
1-Point; 2-Point; 3-Point; Cubes; Anamorphic Designs
|
F) Conics
|
Circle; Ellipse; Parabola; Hyperbola; Cardioid
|
G) Polyhedra
|
5 Platonic Solids; Other solids
|
H) Hyperbolic
Plane
|
Any drawing in the Hyperbolic Plane
|
I) Topology
|
Möbius Strip; Klein Bottle; Torus; Morphing
|
Due Date: Tuesday
April 9 - Beginning of Class
Once instructor leaves the room,
assignments will be considered late, and will be penalized 1 letter grade per
day) Anything beyond 3 business days will not be accepted.
Art Materials to Use: Combinations of at least 3 different mediums (art materials) or
more must be used with a variety of colour. One medium must be a wet medium (such
as gouache, acrylic or watercolour) used at least in some areas of the
work. The colour art mediums to choose
from include: coloured pencil, coloured ink, coloured markers, various types of
water based paint, oil pastels, and a minimum amount of collage. (Check art
supply list for more details regarding various mediums/art materials.
Process in Making Work: Forms and elements (mathematical concepts)
may overlap at times - consider the overlapping in interesting and unique
ways. This is one aspect of the work
when considering composition. Some preliminary trial and error explorations are
required in the final assignment in terms of balancing the combination of
visual elements from being too visually noisy to being boring or too straightforward.
As part of the process people
may do the following as a study for the final Project (and as a study in their
sketchbook): photograph the Final Project in progress, print out the photo of
the work in progress, investigate and experiment with art materials on the
print out exploring various directions and options for the composition and
design of the work. People must find personal processes that work best in
allowing preliminary investigations and offer various options when designing
shapes, line, colour and art materials into the overall composition. For the
final project at the very least people should use the sketchbook to experiment
and explore options, ultimately finding solutions to problems when resolving
the Final Project.
Scale of Visual Elements: There can be a hierarchy in scale of
visual elements (mathematical concepts and surrounding space) Some concepts may
take up the entire illustration board while other mathematical concepts may
take up smaller sections. Consider the visual intervals (distances and optical
spaces) between each of the mathematical concepts and consider those visual
interactions and overlapping in the overall composition and design.
Colour: Using colour consider where high contrast and low contrast
can be conveyed with in the composition. For further assistance review the
colour theory lecture on line for the art component of the course at: http://derekbruecknermathinartcourse.blogspot.ca
Alternative Art Materials not listed in Art Supply List: People are
free to augment the assignment by incorporating some alternative art mediums beyond
the Supplies List into the Final Project, however this must be discussed in
advance with instructor.
Additional Research: Further information regarding design,
composition and use of materials will be reiterated in lectures. People may
also look at books involving design at the Architecture Fine Arts Library and
or research on line.
Consultation with Instructor: Instructor will be available for
consultation primarily after each class. For any consultations with instructor
regarding the Final Project it would be very important and useful for people to
bring their sketchbook, art materials and final project to the
consultation. During the consultation
the instructor will not expect the work to be resolved, but instead will expect
a work in progress with: problems, unresolved areas and mistakes. It is hoped
that the consultation will assist the person to potentially pursue new options
and experiment/investigate with additional ideas in order to improve or resolve
the project.
Please note consultations
should happen well in advance of the Final Project deadline.
Potential Scenario for 15 Selections for Mathematical Concepts for Final Project
The above detail of a Final Project examples demonstrates a clear colour coding chart for 3 main concepts and a colour coding chart for the 6 remaining concepts/iterations. Looking closer at this work below in the work's entire picture plane we can see that the project actually has more than 15 mathematical concepts which are labelled, colour coded and numbered. This colour coding chart will also be required for the assignment.
