Difference between revisions of "Math and Escher and the Saint Louis University Prison Program"
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The border patterns varied from abstract to representational. | The border patterns varied from abstract to representational. | ||
[[File:Cote-Celtic.jpg|center|300px]] | [[File:Cote-Celtic.jpg|center|300px]] | ||
| − | The border depicting three celtic crosses combines several mathematical examples from class. The Celtic Crosses show knot work designs. The over-under crossings tend to break symmetry. In this case there is no reflectional or rotational symmetry and what remains is the translational symmetry ("shifts") that map one cross to another. The interpretation of these crosses representing the Father, the Son and the Holy Ghost is interesting in that light. | + | The border depicting three celtic crosses combines several mathematical examples from class. The [[wikipedia:Celtic cross|Celtic Crosses]] show knot work designs. The over-under crossings tend to break symmetry. In this case there is no reflectional or rotational symmetry and what remains is the translational symmetry ("shifts") that map one cross to another. The interpretation of these crosses representing [[wikipedia:Trinity|the Father, the Son and the Holy Ghost]] is interesting in that light. |
[[File:Schmit-pinwheels.png|center|300 px]] | [[File:Schmit-pinwheels.png|center|300 px]] | ||
| − | The print named Pinwheels shows an intricate design. The print was developed using grid paper. The arches were created using a collection of straight lines. Such surfaces are called ''ruled surfaces''. | + | The print named Pinwheels shows an intricate design. The print was developed using grid paper. The arches were created using a collection of straight lines. Such surfaces are called [[wikipedia:Ruled surface|''ruled surfaces'']]. |
==Tessellations== | ==Tessellations== | ||
Revision as of 09:41, 25 November 2014
Saint Louis University's Prison Program is an educational program for both inmates and staff.
Math and the Art of Escher is one of the courses offered and the work shown on this page represents the mathematical artwork produced during the nine week course.
Contents
Rosette Patterns
The Rosette patterns are finite motifs classified by the reflections they may or may not have and the order of the rotation. The rosettes created varied from the abstract to more representational. The students turned in sketches to show the design process and wrote a paper explaining the mathematics used to create the design.
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| The sketches showing the design of the symmetries. | Ocean Treasures by J. Wooldridge |
Border Patterns
The border patterns varied from abstract to representational.
The border depicting three celtic crosses combines several mathematical examples from class. The Celtic Crosses show knot work designs. The over-under crossings tend to break symmetry. In this case there is no reflectional or rotational symmetry and what remains is the translational symmetry ("shifts") that map one cross to another. The interpretation of these crosses representing the Father, the Son and the Holy Ghost is interesting in that light.
The print named Pinwheels shows an intricate design. The print was developed using grid paper. The arches were created using a collection of straight lines. Such surfaces are called ruled surfaces.
Tessellations
The tessellations varied from interesting designs that show a theme such as Love over Hate by C. Riley, to a design that reminds one of the Metamorphosis prints by Escher, to tessellations based on recognizable figures.
Gallery of Rosette Designs
R. Scott Ink on paper C4 symmetry.
C. Gardner Cutout paper D8 symmetry.
J. Wooldridge Stars D5 symmetry
A. Cole
C. Gardner D8 symmetry
P. Cote Baseball C3 symmetry
C. Everett Roses and Rings C2 symmetry
J McCollom Guitars D4 symmetry
M. Tripp Snowmen C3 symmetry
E. Webb
J. Wooldridge Pennsylvania Dutch (Hex sign) C5 symmetry
Gallery of Border Pattern Designs
C. Riley Love over Hate p112 symmetry.
R. Scott. Owls pm11 symmetry.
R. Schmit. Pinwheels
A Cole Mayan design pma2 symmetry.
J Comfort Geometric Design pmm2 symmetry.
P. Cote Father, Son and the Holy Ghost p111 symmetry.
C. Everett p1m1 symmetry.
J McCollum Plectrum and Guitar string pmm2 symmetry.
R. Schmit Gridlock p112 symmetry.
E. Webb
Gallery of Wallpaper Patterns
J. Wooldridge
M. Tripp Bears
C. Everett Birds
D. Thorne Birds
T. McDermott Birds
J. McCollom Bugs
C. Gardner Cat and Fish
J Comfort
E. Webb Frogs and Flies
A. Cole Dog eat Dog p4 symmetry.
R. Scott Dragons Charcoal on grey paper. p3 symmetry.
C. Riley Love over Hate
P. Cote St Francis Birds p1 symmetry.
R. Schmit Tazza/Silhouette pmm symmetry.
J. Comfort Veterans p2 symmetry.
C. Riley Winged Things
