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SPECIFIED GEOMETRIC DIVISIONS

Polygonal stave ring geometry — identical staves scenarios.

How does changing identical staves affect polygonal stave ring geometry when the other inputs stay fixed?

What this decision changes

This supplied division count defines the regular or repeated geometry in the stated method. Its effect on area, perimeter or component cuts need not be proportional to adding one ordinary purchased item. Method basis: Uses an apothem rather than the centre-to-vertex radius. The two face widths differ because a radial wall thickness creates trapezoidal staves.

The focus is identical staves. All other shared inputs remain fixed for each evaluated range.

Face width = 2×apothem×tan(π/n)Polygonal Stave Ring Geometry Calculator

Evaluate your supplied alternatives

Start with your measured plan and selected product data. The initial values and range are illustrative. Each scenario changes only identical staves; the other entered values stay fixed.

Measured plan and product inputs
Where to get this value

Measure this dimension in your plan or on site and use the displayed unit. For irregular shapes, divide the geometry into the supported sections.

Where to get this value

Measure this dimension in your plan or on site and use the displayed unit. For irregular shapes, divide the geometry into the supported sections.

Supplied comparison range for identical staves

Nine evenly spaced values are evaluated. Whole counts are rounded to distinct integer scenarios. Values between the listed samples are not calculated.

5 valid of 6 evaluated scenarios

Baseline: Outside stave face width — 2.2 m. Rejected combinations remain visible below.

Outside stave face width across evaluated scenarios3.81051232.241.59839451.27017161.0594647
Each bar is one actual calculated outside stave face width. Horizontal values: identical staves in the supplied count basis.
Identical stavesOutside stave face widthChange from baselineUse this scenario
2 Use 3 to 10,000 staves.
3 3.810512 m1.610512 mOpen in calculator
Exact quantity breakdown
Inside stave face width
3.464102 m
Half exterior turning angle
60 °
Ring material volume
1.091192 m³

A regular polygonal ring with trapezoidal cross-sections is assumed. These geometry angles do not specify machine setup, joinery, pressure capacity or safe fabrication.

4 2.2 m0 mOpen in calculator
Exact quantity breakdown
Inside stave face width
2 m
Half exterior turning angle
45 °
Ring material volume
0.84 m³

A regular polygonal ring with trapezoidal cross-sections is assumed. These geometry angles do not specify machine setup, joinery, pressure capacity or safe fabrication.

5 1.598394 m-0.6016064 mOpen in calculator
Exact quantity breakdown
Inside stave face width
1.453085 m
Half exterior turning angle
36 °
Ring material volume
0.7628697 m³

A regular polygonal ring with trapezoidal cross-sections is assumed. These geometry angles do not specify machine setup, joinery, pressure capacity or safe fabrication.

6 1.270171 m-0.9298294 mOpen in calculator
Exact quantity breakdown
Inside stave face width
1.154701 m
Half exterior turning angle
30 °
Ring material volume
0.7274613 m³

A regular polygonal ring with trapezoidal cross-sections is assumed. These geometry angles do not specify machine setup, joinery, pressure capacity or safe fabrication.

7 1.059464 m-1.140536 mOpen in calculator
Exact quantity breakdown
Inside stave face width
0.9631492 m
Half exterior turning angle
25.71429 °
Ring material volume
0.7079147 m³

A regular polygonal ring with trapezoidal cross-sections is assumed. These geometry angles do not specify machine setup, joinery, pressure capacity or safe fabrication.

Read the evaluated results

Inspect geometry and purchase lines separately. Keep radii, dimensions and the other supplied shape assumptions fixed while comparing the evaluated counts.

  1. Replace every illustrative baseline measurement and selected product value with the inputs for your actual task.
  2. Enter a comparison range on the focused input's stated unit and quantity basis.
  3. Review rejected combinations and use the exact detail lines to distinguish measured demand from whole purchases.
  4. Open an evaluated scenario in the full calculator to save its original inputs and quantity breakdown to a browser material project.

Keep the comparison within scope

Shape topology and construction details are provided by your existing design. The workbook evaluates geometry and quantities, not performance or safe assembly.

Uses an apothem rather than the centre-to-vertex radius. The two face widths differ because a radial wall thickness creates trapezoidal staves.

Dimensions, quantities, prices, timing and product properties are supplied by you. This tool does not select construction specifications or assess structural, electrical or hydraulic suitability.

Only the listed samples are evaluated. Intermediate values, alternate constraints and global cutting optimality are not inferred from the graph.

Continue with this quantity method

Polygonal Stave Ring Geometry Calculator

Other independent input decisions

Read the measurement and purchase guides

Quantity method and illustrative scenarios checked 6 October 2026. Methods and scope.