Torus Inner Outer Radius Crosswalk Tool

Description

Return their mean as major and half their difference as minor.

A torus has a major radius about its axis and a minor radius describing its tube. Inner and outer radial extents are different from the inner and outer radii of a hollow tube wall.

Return their mean as major and half their difference as minor.

When to use this tool

Use Torus Inner Outer Radius Crosswalk when you need a torus radius or wall-geometry calculation with explicit dimension meanings.

How to use the tool and how it works

Enter inner, outer. Use the units and conventions below.
Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
Read major, minor. Use the output convention below.

Require nonnegative inner and outer strictly greater than inner. Return their mean as major and half their difference as minor.^[1]

Input field	Meaning and units	Accepted input
inner	Inner radial extent from the torus axis; may be zero.	Required. Finite number; minimum 0.
outer	Outer radial extent from that axis, greater than inner.	Required. Finite number.

Output field	Interpretation	Returned shape
major	Major	Required. Finite number.
minor	Minor	Required. Finite number.

json

{
  "input": {
    "inner": 2,
    "outer": 6
  },
  "output": {
    "major": 4,
    "minor": 2
  }
}

Limitations and assumptions

Inner and outer are radial extents from the torus axis rather than tube-wall radii; inner zero gives a horn limit and no physical model or surface validity is verified.
Inputs must satisfy both the field types and the cross-field conditions above. Invalid input causes an error; a successful false flag or documented placeholder is a different result.
Numeric calculations use binary floating point unless exact decimal-integer arithmetic is explicitly stated. No hidden measurement tolerance or decimal rounding is added; nonfinite or out-of-contract results are rejected. Numeric signed-zero results are exported as zero.

Alternative or Complementary methods

Construct the torus cross-section and inspect its radial bounds. Use a solid model when self-contact, self-intersection, hollow walls, or manufacturing tolerances matter.

References

Calculation and input contract: geometry/torus-inner-outer-radius-crosswalk — tool.io

Similar or alternative tools

Torus Tube Wall Thickness Gap
Return outer-minus-inner wallThickness, major-minus-outer holeClearance, and nonSelfIntersecting only for strict major greater than outer tube radius.
Rhombus Inscribed Circle Radius Tool
Calculate rhombus inscribed circle radius from explicit caller-supplied inputs.