Scaled Units

Geometric Algorithms

Juan Ayala

June 27, 2010 Solid to Planes A Facated Field Condition

Solid to Planes A square plane is inscribed into a cube at certain points determined by the distance from the corner of the cube. Upon exploding the planes at the intersection two sets of triangles were derived, an isosceles and scalene. There were an even set of triangles organized around a central spine.

Solid to Planes Intersecting Planes were discoverred to make up the star-like qualities of this new form. The ultimate goal was to use the components of the star to create other forms by the discovery of its aggregating qualitites.

Elements of the Form For construction, the amount of planes were lowered from 6 to 4 by changing the determined points. Eight (8) triangular planes were derived. However the distribution of isosceles and scalene triangles were uneven. There were 6 isosceles and 2 scalene. Also the anglles between the isosceles were less than the angles between the isosceles and scalene.

Component Concept

Component - Planes

2-Notched Edge Even set of sprockets 3-Notched Edge Even set of sprockets. 3-Notched Edge Rven set of sprockets

Isosceles Triangle

contains eight (8) planes made up of two (2) types of triangles

Scalene triangle

Component - Sprockets

Even Set Sprocket - Size ranges from 3 to 5 inches in diameter

Scalene Triangle

A

B

A

C

B

C

A

1

4

7

2

5

8

3

6

9

B

C

Isosceles Triangle

A

B

A

C

B

C

A

1

4

7

2

5

8

3

6

9

B

C

Aggregate Patterns

Component - Planes

2-Notched Edge - Even set of sprockets 3-Notched Edge - Tapered set of sprockets. 3-Notched Edge - Even set of sprockets

Component - Sprockets Changes direction 11.89 degrees

Tapered Sprocket

Scaled Units

Geometric Algorithms

Juan Ayala

June 23, 2010 Playground