Assignment 3 - Final Project Assignment:
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
Instructor’s
Office: 460 ART Lab
Summary
of Assignment:
Create a large work that is 20 x 30 inches on illustration board incorporating
at least fifteen mathematical concepts/iterations. 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 cut 20 x
30 inch acetate overlay.
Mathematical
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 iterations collectively. (Note a different concept
means a distinct concept/iteration, for example: depiction of two identical
iterations each at different locations does not qualify as two distinct
iterations, this would only count as one iteration)
The six
remaining mathematical iterations can come from any other mathematical concepts/iterations
that were not previously chosen.
Art
Objectives for Assignment: This assignment is evaluated on the overall integrated design of these various fifteen mathematical concepts/iterations
and the overall composition of the
entire work. Ultimately the assignment strives for variety, complexity and unity
in the over all design. Consider the assignment’s whole visual design and
composition in relation to the individual math concepts/iterations. Variety and
complexity refers to shape, line, colour and their organization in relation to:
each other (intervals), the overall composition and optical space. Variety and
complexity also refers to the different use of art materials, styles and
context and relationship between where the work is controlled/precise and where
the work is not controlled/precise. The way these different sensibilities of precise
and not precise interact with each other and in the overall design is
important.
Specifically
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 (layering, editing and revising), matt and gloss
surfaces/materials, and overall clarifying intentions of materials (at times
being critically analytical of processes and 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 in the design of the work.
Main
Mathematical Concepts (A to I)
|
Possible Corresponding Iterations
|
A) Euclidean Constructions
|
Constructions
1 to 8, some single iterations could include: Perpendicular Bisector, Angle
Duplication, Circle Center, Line Segment into Equal Parts, etc.
|
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, etc.
|
E) Perspective
|
1-Point;
2-Point; multiple 2-Point; 3-Point
|
F) Conics
|
Circle;
Ellipse; Parabola; Hyperbola; Cardioid
|
G) Polyhedra
|
5
Platonic Solids; Other Polyhedra Solids
|
H) Hyperbolic Plane
|
Any
drawing in the Hyperbolic Plane
|
I)
Topology
|
Möbius
Strip; Klein Bottle; Torus; Tori; Morphing
|
Due
Date: Fri June 21 - Beginning of Class
Final Project assignments due at the beginning of
class on June 21, once the instructor has left the classroom the assignment is
considered late. Assignments submitted late after class (11:30am) on June 21
will be deducted one letter grade. No Final Project Assignments will be
accepted beyond 1pm on June 21. Any assignment submitted beyond 1pm of any
assignment deadline date will receive a ZERO Grade.
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. If people wish to use other materials not on the
art supply list consult with instructor prior to using 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. Avoid committing into compositional choices for the entire
assignment during the early design stages of the work. When budgeting the time
to work on the assignment it is best to assume that mistakes will most likely
be made and for the most part are unavoidable. Overall the process will involve
working through mistakes and ultimately learning more about art materials, art
processes and maybe even coming up with a more advanced level of composition in
the work. Once again a subtractive additive process and determining which of
the chosen materials is opaque and which materials are transparent will be
strong tools for learning to edit and layer the work and potentially revise
original plans.
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 and combining 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 variety and solutions
to problems when resolving the Final Project. Remember there is a symbiotic
relationship between the sketchbook and the final project assignment.
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. If any aspect of the final project assignment text is unclear please
consult with instructor regarding that as well.
Please note
consultations should happen well in advance of the Final Project deadline.
Check List for Final Project Assignment:
1) 15
mathematical concepts/iterations
2) Labels
of 15 iterations securely attached on or attached underneath to acetate
3)
Acetate is securely attached to top edge of work
4) Variety,
complexity and unity in the over all design including:
A) Shape,
line, colour, material characteristics and their organization in relation to:
each other (iterations and overlapping), the overall composition and optical illusions
of space.
B) Different
use of art materials, styles and context and relationship between different
sensibilities (controlled/analytical and uncontrolled/intuitive).
C)
Clarity of intentions in relation to art and math concepts (art concepts being
4 and 5 on this checklist)
5) Art
Materials and Process - Integrated investigative process in physicality,
layering and optics including:
A) Variety of Mark
making
B) Thick
and thin applications of materials
C) Editing,
layering and revising - additive subtractive processes of materials, opaqueness
and transparency of materials
D) Matt
and gloss surfaces/materials
E) Range
of colour mixing
F)
Colour interaction and optics of colour with in the space
G) Overall
clarity of intentions of materials
Potential Scenario for 15 Selections for Mathematical Concepts/Iterations 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.
