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TileDreams depends upon princples of geometry and trigonometry, algebra, and basic
arithmetic.
TileDreams performs the following calculations (among others)
Pixel Unit Conversions
When calculating the composite area of the tiles used in the design by color, the user
can provide a whole integer for either the height or width, and TileDreams will convert
the results to the user's scale. By default, this calculation is expressed in
pixels.
Angle Unit Conversions
Depending on the context, TileDreams evaluates angles in terms of degrees, radians, or
Angle Units.
In TileDreams, Angle Units are calculated by this formula
Angle Unit = 360o/(base * 2)
ie: in a base 6 tile-set, a step is equal to 360o/(6 * 2), or 30o
Trigonometry
Trigonometry is used extensively within TileDreams, when any of these operations are
necessary:
- rotate the current tile
- rotate selected tiles
- define the tiles
Coordinate Geometry
Polygons are expressed as collectins of coordinate points (x,y format), and can be
redefined through manipulation of the text-output of the designs.
Line Calculations
TileDreams calculates slope and intercept values to determine whether the user's
outline-box intersects with the outline of a tile.
Basic Aithmetic
- Calculate the center point for purposes of performing rotations of selected tiles
- Increase or decrease the memory allocated to TileDreams, based on the number of tiles in
the design.
- Keep track of the number of tiles in a design.
- Determine whether the user's mouse is over a vertex
Planar Geometry
TileDreams will calculate the aggregate surface area by color.
Illustrate basic polygons, and other simple composite constructions.
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