Solid to Planes - A Facated Field Condition

June 27, 2010

Scaled UnitsGeometric Algorithms

Juan Ayala

Solid to Planes

A square plane is inscribed into

a cube at certain points deter-

mined 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 discov-

erred to make up the star-like

qualities of this new form. The ul-

timate goal was to use the com-

ponents of the star to create oth-

er 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 distribu-

tion of isosceles and scalene tri-

angles were uneven. There were

6 isosceles and 2 scalene. Also

the anglles between the isosce-

les were less than the angles be-

tween the isosceles and scalene.

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

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

ComponentConcept

Component - Planes

Component - Sprockets

2-Notched Edge - Even set of sprockets3-Notched Edge - Even set of sprockets.3-Notched Edge - Rven set of sprockets

IsoscelesTriangle

Scalenetriangle

A

1 4 7

2 5 8

3 6 9

A AB B BC C C

Scalene Triangle

A

1 4 7

2 5 8

3 6 9

A AB B BC C C

Isosceles Triangle

Aggregate Patterns

Tapered Sprocket

2-Notched Edge - Even set of sprockets3-Notched Edge - Tapered set of sprockets.3-Notched Edge - Even set of sprockets

Changes direction 11.89 degrees

Component - Planes

Component - Sprockets

Playground

June 23, 2010

Scaled UnitsGeometric Algorithms

Juan Ayala