The Cyclic Group
The following sculpture is an artistic representation of the finite group Z6 (cyclic group of order 6). By supplementing 2-D nodes with 3-D columns and lines in 2-D space with curves in 3-D space, I was able to transform the simplistic Cayley Diagram of Z6 into a 3-D sculpture, highlighting movement, symmetry and beauty within the small group. To help understand the construction of the sculpture I have a visual aid that diagrams the blueprints while showing the obvious relationship with Z6. Interestingly, this method of creating a sculpture from a cyclic Cayley Diagram, yields the creation of another larger group, one that plays with the idea of multiple dimensions in a very fun way.
Cyclic Group of Order 6
45 x 30 x 30 cm
Stoneware, acrylic paint
2016
45 x 30 x 30 cm
Stoneware, acrylic paint
2016
The Symmetric Group
The following sculpture is an artistic representation of the finite group S3 (symmetric group of order 6). By supplementing 2-D nodes with 3-D columns and lines in 2-D space with curves in 3-D space, I was able to transform the simplistic Cayley Diagram of S3 into a 3-D sculpture, highlighting movement, symmetry and beauty within the small group. To help understand the construction of the sculpture I have a visual aid that diagrams the blueprints while showing the obvious relationship with S3.
Symmetric Group of Order 6
40 x 30 x 30 cm
Stoneware, acrylic paint
2016
40 x 30 x 30 cm
Stoneware, acrylic paint
2016