Matrix System Skate Park

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Systematic Skate Park Design Design 5 : Fall 2012

Mathematics represent all facets of architectural design through infinite possibilities. By limiting factors mathematically, a finite set of realities can be achieved with differing effects. Skate parks are expected to retain fluidity and variation like a skater. While limiting mathematical factors, caution must be taken in preserving these two ideas. Therefore, driving variables must ensure all endings result in a smooth transition without similar. Individual blocks are defined to 32’x32’x8’ cubes. There are 5 varied pipe types that define each block at the edge for fluid connections (default is a blank side). By ignoring order and rotation, the vital configurations can be found, lowering redundancy of options. Sides: 4 (Square) Types: 5 (A,B,C,D,Blank Side) Possible Configurations: 340 total, rotation matters, order matters. Final Configurations: 65 total, rotation and order do not matter.

A

B

C

D



This is the original model on piping that inspired a matrix system involving combinatorics In particular, the form is rendered using a water texture to embrace fluidity and variation While this may not seem as skatable as the other piping methods derived from mathematics the abstraction challenges the idea of: What defines a surface as skatable?


Index Parts 1 2 3 4

Variance

Variance Parts 1 2 3 4 Total

1

2

3

4

Permutation 4^P 4 16 64 256 340

4 4 4 4

12 12 12

48 48

192

1

2

3

4

Total

1 1

4 20 20 21 65

4 8 4 4 20

12 12 12 36

4 12 16

Order Matters With Repetition

Final No Repetition



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