Examples
Examples
Try the starting example
- Door width (mm)
- 600
- Door height (mm)
- 800
- Cup diameter (mm)
- 35
- Near edge to cup rim (mm)
- 5
- Cup centre heights from top (mm)
- 100,700
- Hinge edge: left or right
- left
- Cup centre X (mm)
- 22.5
- Cup centre Y coordinates (mm)
- 100, 700
- Minimum cup-to-door edge clearance (mm)
- 5
- Cup count
- 2
Try another scenario
- Door width (mm)
- 400
- Door height (mm)
- 600
- Cup diameter (mm)
- 40
- Near edge to cup rim (mm)
- 10
- Cup centre heights from top (mm)
- 50,550
- Hinge edge: left or right
- right
- Cup centre X (mm)
- 370
- Cup centre Y coordinates (mm)
- 50, 550
- Minimum cup-to-door edge clearance (mm)
- 10
- Cup count
- 2
Calculation method
Calculation method
Cup centre X (mm)
Left: edge-to-rim distance + radius. Right: door width minus that same distance.
Cup centre Y coordinates (mm)
The supplied centre heights, sorted from top to bottom.
Minimum cup-to-door edge clearance (mm)
Smallest clearance from any cup rim to the four door edges.
Cup count
Count supplied cup centres after validating overlap and boundaries.
Symbols and units
- a
- Door width (mm)
- b
- Door height (mm)
- c
- Cup diameter (mm)
- d
- Near edge to cup rim (mm)
- e
- Cup centre heights from top (mm)
- f
- Hinge edge: left or right
Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.
Assumptions & limits
Assumptions & limits
- Cup-centre coordinates from the top-left door corner using your selected hinge edge. Validates ideal circular cup fit and nonoverlap only. Door thickness, hardware compatibility, screw positions and manufacturer-approved hinge spacing are separate.
Are these inputs private?
These calculations run in your browser. A shared link contains the values you choose to share. Only questions submitted to the separate AI finder are sent to OpenAI.
Further reading
OpenStax: arithmetic and geometry ↗
Background reading; this does not imply endorsement or independent review of SumFizz.