Art & Design Math Center
Proportion, symmetry, layout, scale, geometric patterns and material budgets. 20 tools with purposes, formulas and worked examples.
Simple mode uses starting defaults for extra scenario controls. Advanced exposes those controls where available. Change an entry, then press Calculate.
Complete truth table
Formula, calculation steps & example
All 20 tools: purposes and formulas
- Artwork scale factor — Use the labeled measurements to calculate artwork scale factor.
A ÷ B (A, B, C refer to the labeled entries)
- Scaled artwork height — Use the labeled measurements to calculate scaled artwork height.
A × B (A, B, C refer to the labeled entries)
- Canvas area — Use the labeled measurements to calculate canvas area.
A × B (A, B, C refer to the labeled entries)
- Mat material area — Use the labeled measurements to calculate mat material area.
A − B (A, B, C refer to the labeled entries)
- Artwork width-to-height ratio — Use the labeled measurements to calculate artwork width-to-height ratio.
A ÷ B (A, B, C refer to the labeled entries)
- Grid cell count — Use the labeled measurements to calculate grid cell count.
A × B (A, B, C refer to the labeled entries)
- Grid cell width — Use the labeled measurements to calculate grid cell width.
A ÷ B (A, B, C refer to the labeled entries)
- Grid cell height — Use the labeled measurements to calculate grid cell height.
A ÷ B (A, B, C refer to the labeled entries)
- Circular artwork area — Use the labeled measurements to calculate circular artwork area.
π × A² (A, B, C refer to the labeled entries)
- Circular border length — Use the labeled measurements to calculate circular border length.
2π × A (A, B, C refer to the labeled entries)
- Rectangular artwork diagonal — Use the labeled measurements to calculate rectangular artwork diagonal.
sqrt(A² + B²) (A, B, C refer to the labeled entries)
- Pattern tiles by area — Use the labeled measurements to calculate pattern tiles by area.
ceiling(A ÷ B) (A, B, C refer to the labeled entries)
- Paint volume from coverage — Use the labeled measurements to calculate paint volume from coverage.
A ÷ B (A, B, C refer to the labeled entries)
- Art material cost — Use the labeled measurements to calculate art material cost.
A × B (A, B, C refer to the labeled entries)
- Printing budget — Use the labeled measurements to calculate printing budget.
A × B (A, B, C refer to the labeled entries)
- Art print gross revenue — Use the labeled measurements to calculate art print gross revenue.
A × B (A, B, C refer to the labeled entries)
- Material cost per piece — Use the labeled measurements to calculate material cost per piece.
A ÷ B (A, B, C refer to the labeled entries)
- Degrees per rotational sector — Use the labeled measurements to calculate degrees per rotational sector.
A ÷ B (A, B, C refer to the labeled entries)
- Selected length as whole percentage — Use the labeled measurements to calculate selected length as whole percentage.
A ÷ B × 100 (A, B, C refer to the labeled entries)
- Simple perspective projected height — Calculate simple perspective projected height from the labeled values.
Projected height = object height × plane distance / object distance
Definitions and source references
Unit definitions and selected model references:
- Virginia Tech: wing geometry and mean aerodynamic chord
- Aircraft Design course: tail volume definitions
- Prusa: filament and printer calculation references
- NIST: SI defining constants
- NASA: aerodynamic lift models
- Horizon Hobby: product and battery documentation
- Smithsonian: Maya calendar units
- NIST: frequency intervals and cents
- NIST: binary prefixes
- NOAA: nautical miles and knots
- RFC 3021: IPv4 /31 point-to-point links
- MDN: exact integer arithmetic
- NIST: international-foot unit conversions
- NASA/JPL: astronomical unit definitions
- NASA: ideal rocket equation
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