Mathematics is the order, structure, logic, relationship and quantification of the language of numbers and symbols.
Geometry is a branch of mathematics - an architecture - relating to points, lines, angles, surfaces, and solids.
How does geometry operate on the properties of its architecture (points, lines, angles, surfaces, and solids)? Operations on geometric objects such as:
- Boolean
- Tessellation
- Merging
- Extending
- Trimming
- Triangulating
- Tweening
- Twinning
- Tracing
- Filling
- Shadowing
- Resizing
- Extruding
- Curve fitting
- Interpolating
- Extrapolating
- Splining
Geometry operates (applies functions) on objects through a rule set – an algorithm.
How does one determine the characteristics (properties of its architecture) of a member of a geometric set? Determination of member characteristics such as:
- Resultant numeric properties (size, location, etc.)
- Comparative characteristics (max, min, difference, ratio, arrangement, etc.)
- Set membership (shape, # of vertices, angle, symmetry, state, topology, any other)
Geometry computes object properties through a rule set – an algorithm.
RELATIONSHIP: Algorithm is the program which operates within the Geometry's architecture.
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