Examples
Examples
Try the starting example
- Rigid sofa length (cm)
- 200
- Rigid sofa depth (cm)
- 90
- Rigid sofa height (cm)
- 80
- Clear doorway width (cm)
- 85
- Clear doorway height (cm)
- 210
- Maximum tested tilt (whole degrees)
- 90
- Axis-through-opening scenarios [axis,first feasible [angle°,width margin cm,height margin cm]]
- [["Length through opening",[87,0.399401157769,115.936465373]],["Depth through opening",[89,1.52170310003,8.63426845374]],["Height through opening","No sampled fit"]]
- Principal orientations with a sampled fit
- 2
Try another scenario
- Rigid sofa length (cm)
- 200
- Rigid sofa depth (cm)
- 90
- Rigid sofa height (cm)
- 80
- Clear doorway width (cm)
- 95
- Clear doorway height (cm)
- 210
- Maximum tested tilt (whole degrees)
- 90
- Axis-through-opening scenarios [axis,first feasible [angle°,width margin cm,height margin cm]]
- [["Length through opening",[0,5,130]],["Depth through opening",[86,1.24358123039,4.90667204851]],["Height through opening",[89,1.52322614847,8.45974438937]]]
- Principal orientations with a sampled fit
- 3
Calculation method
Calculation method
Axis-through-opening scenarios [axis,first feasible [angle°,width margin cm,height margin cm]]
For each principal axis passing through opening, rotate the other two dimensions 0..maximumTilt in whole degrees; projected W=u*cos(t)+v*sin(t), H=u*sin(t)+v*cos(t).
Principal orientations with a sampled fit
Count axes with at least one feasible sampled cross section.
Symbols and units
- a
- Rigid sofa length (cm)
- b
- Rigid sofa depth (cm)
- c
- Rigid sofa height (cm)
- d
- Clear doorway width (cm)
- e
- Clear doorway height (cm)
- f
- Maximum tested tilt (whole degrees)
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
- Rigid rectangular bounding-box cross-section test. Whole-degree sampled orientations only; failure does not prove impossibility between samples. Assumes the third dimension is unobstructed through an infinitely thin doorway; corridor turns, wall depth and maneuvering space excluded. Supported limits: Positive finite dimensions; integer tilt 0..90; contact counts as geometric fit with zero margin.
Are these inputs private?
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