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Field of View Calculator

Field of View Calculator
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2020-03-26 19:07
AngleTrigonometrySolid GeometryCalculusGeometric Construction
This example demonstrates the calculation of Field of View (FOV) and the construction of 3D geometric solids. It involves core mathematical concepts such as angles, prisms, 3D shapes, geometric distribution, straight lines, means, sine functions, and integral calculus. Constructed using GeoGebra commands like Plane, Rotate, OrthogonalPlane, IntersectPath, Intersect, Pyramid, and Distance. Suitable for high school students and math enthusiasts needing to understand 3D geometry and perspective calculations.

GeoGebra Commands & Parameters

  1. Plane(xAxis, yAxis) → b
  2. Plane(xAxis, zAxis) → a
  3. Rotate(a, α / 2, zAxis) → a'
  4. Rotate(a, ((-α)) / 2, zAxis) → a'_1
  5. Rotate(b, β / 2, yAxis) → b'_1
  6. Rotate(b, (-(β / 2)), yAxis) → b'
  7. OrthogonalPlane(A, xAxis) → c
  8. IntersectPath(c, b') → d
  9. IntersectPath(a'_1, c) → e
  10. Intersect(d, e) → B
  11. IntersectPath(c, a') → f
  12. Intersect(d, f) → C
  13. IntersectPath(c, b'_1) → g
  14. Intersect(f, g) → D
  15. Intersect(e, g) → E
  16. Intersect(xAxis, yAxis) → F
  17. Pyramid(B, C, D, E, F) → h, faceBCDE, edgeBF, edgeCF, edgeDF, edgeEF, faceBCF, faceCDF, faceDEF, faceBEF, edgeBC, edgeCD, edgeDE, edgeBE
  18. Distance(E, D) → distanceED
  19. Distance(C, D) → distanceCD

AI Drawing Prompt Reference

Draw a 3D geometric solid demonstrating field of view calculation. Include two intersecting planes, one rotated around the Z-axis and the other around the Y-axis. Create a plane orthogonal to the X-axis, find intersections to form pyramid vertices and base, then calculate distances between key points.
The prompt above was compiled from the original drawing commands and is for reference only.