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Calcimator

Diorama Forced Perspective Calculator

Calculate forced perspective scale transitions for dioramas. Determine foreground and background element sizes for depth illusion.

Inputs

Results

Foreground Height

2.06"

Background Height

0.83"

Scale Transition Point10.8"
Apparent Depth59.7"
Perspective Ratio2.49x
How to Use This Calculator
  1. Enter Foreground Scale (1:X), Background Scale (1:X), and Diorama Depth (inches).
  2. Set Subject Real Height (feet).
  3. Review Foreground Height () and Background Height ().
  4. Use Scale Transition Point () and Apparent Depth () to inform your decision.
  5. Use the chart to visualize the results and explore different scenarios by adjusting inputs.

How the result changes with Foreground Scale (1:X)

Foreground Scale (1:X)Foreground HeightBackground Height
511.41"0.83"
1760.41"0.83"
3250.22"0.83"
4500.16"0.83"

What each input means

Foreground Scale (1:X)
Scale of foreground elements (e.g., 35 for 1:35 military models)
Background Scale (1:X)
Scale of background elements (smaller scale = appears farther away)
Diorama Depth (inches)
Physical depth of the diorama from front to back
Subject Real Height (feet)
Real-world height of the subject (e.g., 6 feet for a person)

How this is calculated

Worked example, using the default values

  1. Identify Input Parameters
    4 parameters
    Foreground Scale (1:X) = 35, Background Scale (1:X) = 87, Diorama Depth (inches) = 24, Subject Real Height (feet) = 6 = 4 input(s) provided
  2. Calculate Foreground Height
    Foreground Height
    2.06 = 2.06
  3. Calculate Background Height
    Background Height
    0.83 = 0.83
  4. Calculate Scale Transition Point
    Scale Transition Point
    10.8 = 10.8
  5. Calculate Apparent Depth
    Apparent Depth
    59.7 = 59.7

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