Math in Art - Final Project Assignment:
Assignment Requirements and Ideas for Final Project
Instructor’s Office: 337 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 in fifteen distinct visual elements using colour (no use of black or white).
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 using colour (no use of black or white).
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 each
person's assignment a photo will be taken with acetate and a photo will be
taken without acetate)
Definition of Iteration: the type or subcategory of mathematical concept. For example: A Fractal is the mathematical concept and a Kosh snowflake, or Sierpinski triangle or tree fractal is the iteration. See chart below for further examples and clarification.
Mathematical Objectives for Assignment:
1) Six* mandatory mathematical concepts and corresponding iterations are required to include the following:
Fractal (one type of Fractal)
Perspective (one type of perspective)
Conic Constructions (one type of conic construction)
Polyhedra (one type of polyhedra)
Hyperbolic Geometry (one type hyperbolic construction)
Topology (one type of toplogy)
2) Nine* remaining mathematical concepts/iterations to select in chart below.
See Math concepts/iterations A to I listed below.
Chart with Mathematical Concepts &
Corresponding Iterations
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
|
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.
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.
Due Date: Tuesday April 8- Beginning of Class
Final
Project assignments due at the beginning of class on April 8, 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 3pm on April 8. Any
assignment submitted beyond 3pm of any assignment deadline date will receive a
ZERO Grade.
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Math in Art - Final Project Assignment
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 iterations securely attached to acetate
3) Acetate is securely attached to top edge of work with
name and course section on front
4) Variety, complexity and unity in the over all design
(composition) including:
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)
Additional Information to Assist in Completing 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.
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Math in Art - Final Project Assignment
Additional
Information to Complete Assignment (continued):
Process
in Making Work (continued):
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 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 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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