Math in Art
- Assignment 2: Final Project Assignment
Instructor’s
Office: 337 ART Lab Art course
website: http://derekbruecknermathinartcourse.blogspot.ca
Summary
of Assignment:
Create a
large work that is 20 x 30 inches on
illustration board incorporating at least fifteen*
mathematical concepts/iterations in fifteen distinct visual elements.
All fifteen concepts with corresponding iterations
should be clearly indicated and neatly labeled on a cut 20 x 30 inch acetate overlay. The
acetate should be securely attached to the illustration board’s top edge.
(For evaluation purposes photographs of each assignment will be taken with the acetate and without the acetate)
Mathematical
Objectives for Assignment:
1) Six* mandatory mathematical concepts/iterations
to include the following:
Fractal (one type of Fractal)
Perspective (one type of
Perspective)
Conic
Constructions (one type of Conic Construction)
Platonic
Solid or Polyhedra (one type of Platonic Solid or Polyhedra)
Hyperbolic
Construction (one type of Hyperbolic Construction)
Topology
(one type of Topology)
2) Nine* remaining mathematical concepts/iterations
to select below.
See Math
concepts/iterations A to I listed below.
Art
Objectives for Assignment:
While composing the mathematical concepts/iterations consider
the assignment’s whole visual design and composition in relation to the math
concepts/iterations and art objectives below:
1) Consider a variety and complexity of: shape, line, colour,
unified composition and optical illusion of space. (Intervals, overlapping and
interaction of shape and line, strategic use of high and low contrast)
2) Consider a variety and complexity of: different use of art
materials and art making styles.
3) Consider a variety and complexity of: mark making, thick and
thin applications of materials, matt and gloss surfaces/materials, additive
subtractive processes, and opaqueness and transparency of materials (layering,
editing and revising initial plans).
4) Collectively consider how all the above characteristics of
the art materials work together (unified) in the design of the work.
Chart of Mathematical Concepts & Corresponding
Iterations
Main
Mathematical Concepts (A to I)
|
Possible Corresponding Iterations
|
A) Euclidean Constructions
|
Constructions
1 to 6, some single iterations could include: Perpendicular Bisector, Angle
Duplication, Circle Center, Parallel LInes, 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
|
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 construction
in the Hyperbolic Geometry
|
I)
Topology
|
Möbius
Strip; Klein Bottle; Torus; Tori; Morphing
|
Due
Date: Dec 2 - Beginning of Class
Final Project assignments due at the beginning of
class on Dec 2, once the instructor has left the classroom the assignment is
considered late. Assignments submitted late after class will be deducted one
letter grade. No Final Project Assignments will be accepted beyond 2pm on Dec 2. Any assignment submitted beyond 2pm of any assignment deadline date will
receive a ZERO Grade.
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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 in 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.
Check List for Final Project Assignment:
1) 15
mathematical concepts/iterations (Including the 6 mandatory mathematical concepts/iterations)
2) Labels
of 15 mathematical concepts and corresponding iterations securely attached to acetate
3)
Acetate is securely attached to top edge of work
A) Interaction of shape, line, intervals, colour, material
characteristics and their organization in relation to each other in the
overall picture.
B) Overlapping of shape and line and how the overlapping
enhances the optical illusions of space in the overall composition.
C) Different use of art materials, styles and context and
relationship between different sensibilities (controlled/analytical and
uncontrolled/intuitive processes/styles).
D) 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) 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) Application of colour through entire project and range of
colour mixing
F) Colour interaction and optics of colour with in the space
(using colour to create depth)
G) Overall clarity of intentions of materials
H) At least three art materials including one
wet medium (acrylic, watercolour, or gauche)
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Additional Information to Complete Assignment:
Process in Making Work:
Forms and elements (mathematical concepts) should 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 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: 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 studies (small preliminary works) 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
cover the majority of illustration board while other mathematical concepts will
cover 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 sketches or preliminary work, art materials and
final project in progress 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.
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