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4V Octahedron Dome Calculator

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4V Octahedron Dome Calculator

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1-931-858-6892

 

How to Use the Dome Calculator

1. Select Hub Size:
Select "No Hubs" to get the true "chord" length for each strut, which is the full distance for the strut between each geodesic dome vertex.
For most dome construction methods, you will use the "No Hubs" selection.
With our Zip Tie Domes Hub Design, the geodesic dome vertex is located in the middle of our "Center Ring".
When using our Hubs, the width of our Center Ring must be added to the strut length to give the true geodesic dome dimensions.
Select Standard 4" Hubs for calculating domes with our 4" Standard Hubs or Dual Covering Hubs, which have a 2.375" Center Ring. These hubs are used with 1" PVC pipe for struts.
Select Super 6" Hubs for calculating domes with our new 6" Super Hubs, which have a 3.5" Center Ring. These hubs are used with 1.5" PVC pipe for struts.
Select Mega 8" Hubs for calculating domes with our proposed 8" Mega Hubs, which will have a 4.5" Center Ring. These hubs will be used with 2" PVC pipe for struts.

2. Feet or Meters
Click the button for "Meters" if you are using metric measurements.

3. Data Entry:
Enter a number with or without a decimal fraction in any of the number fields on the left. (For example, enter "5" or "3.3333")
Click the Calculate Button. All of the other numbers will be automatically calculated.
The Blue Struts are always the longest struts. If you know your longest strut length, enter your data for the longest strut length in the Blue Strut field.
To build a strong dome, the longest strut should not be more than 6' long.

Cost Calculation and Material Utilization Chart
The default "Length of Pipe" for cutting your struts has been set to 10'. You can change this to 20' or whatever length of pipe you have to cut for your struts.
You can also update the "Cost Per Pipe" amount, and click the Calculate field, and the "Total Cost of Materials" amount will be calculated at the bottom of this section.
If you are cutting 4' struts, consider using 20' lengths of pipe, as there will be less waste as compared to cutting 4' lengths from 10' pipe.

4 Frequency Octahedron Dome Calculator

4v Octahedron Geodesic Dome Calculator
4v Octahedron
 
Select Hub Size
No Hubs:     Standard 4" Hubs:     Super 6" Hubs:     Mega 8" Hubs:
Feet:   Meters:
 
Convert to Feet & Inches
Chord
 
 
Enter the Number of in One Field, then Click the "Calculate" Button.
 
 
 

Dome Height (h)

0 0"

 
 

Dome Width / Diameter (d)

0 0"

 
 

Length of 16 Red "A" Struts

0 0"

.32036

 
 

Length of 24 Purple "B" Struts

0 0"

.43887

 
 

Length of 12 Yellow "C" Struts

0 0"

.44721

 
 

Length of 16 Orange "D" Struts

0 0"

.45951

 
 

Length of 24 Green "E" Struts

0 0"

.51764

 
 

Length of 12 Blue "F" Struts

0 0"

.57735

 
 

Dome Radius (r)

0 0"

 
 

Dome Equator Circumference (2πr)

0 0"

 
 

Dome Circular Floor Area in Square (πr²)

 

0

Dome Spherical Surface Area in Square (2πrh)

 

0

Dome Spherical Volume in Cubic (πh(3r² + h²)/6)

 

16

Dome Base Perimeter Number of Sides

 

0

16 Sided Base Perimeter Length ()

 

0

16 Sided Base Floor Area (Square )

 

64

Total Number of Dome Panels / Faces

 

0

Surface Area for 64 Dome Panels / Faces (Square )

 

0

Total Volume of Tetrahedrons behind 64 Dome Panels / Faces in Cubic

 

5

Number of Yellow 90° 4-Way Hubs

 

0

Number of Red 72° 5-Way Hubs

 

36

Number of Blue 60° 6-Way Hubs

 

41

Number of Center Rings

 

196

Number of Zip Ties to Construct the Dome

 

123

Number of Zip Ties to Secure the Inside Dual Covering Hubs (3 per hub)

 

123

Number of Zip Ties to Secure the Outside Dual Covering Hubs (3 per hub)

 

0 Length
0 Width  

Absolute Minimum Square Covering Dimensions for a Tightly Fitted Dome Cover

 

0 Length
0 Width  

Minimum Square Covering Dimensions for a Dome Cover Secured to the Hubs with Zip Ties with a Minimum Overlap at the Bottom of the Dome

 

0 Length
0 Width  

Maximum Square Covering Dimensions for a Dome Cover Secured to the Hubs with Zip Ties with an Ample Overlap at the Bottom of the Dome

 

0

Total Length of All Struts Added Together ()

Cost Calculation and Material Utilization Chart

 

 
 

Length of Pipe:

Cost Per Pipe:

 
 
Red "A" Struts
 

 

Red "A" Strut Units Entered:

0

Feet and Inches:

00"

 
 

Number of Pipes needed to Create (16) Red "A" Struts:

0

 
 

Number of Red "A" Struts Produced From Each Uncut Pipe:

0

 
 

Waste for First 0 Pipes after Cutting 0 Struts Each:

0 = 00"

 
 

<-

 
 

Number of Red "A" Struts Created from the first 0 Pipes:

0

 
 

Number of Red "A" Struts Created from the Last Pipe:

0

 
 

Waste on the Last Pipe after Cutting 0 Strut(s):

0

 
 

<-

 
 

Total Waste in Creating 16 Red "A" Struts:

0

 
 
Purple "B" Struts
 

 

Purple "B" Strut Units Entered:

0

Feet and Inches:

00"

 
 

Number of Pipes needed to Create (24) Purple "B" Struts:

0

 
 

Number of Purple "B" Struts Produced From Each Uncut Pipe:

0

 
 

Waste for First 0 Pipes after Cutting 0 Struts Each:

0 = 00"

 
 

<-

 
 

Number of Purple "B" Struts Created from the first 0 Pipes:

0

 
 

Number of Purple "B" Struts Created from the Last Pipe:

0

 
 

Waste on the Last Pipe after Cutting 0 Strut(s):

0

 
 

<-

 
 

Total Waste in Creating 24 Purple "B" Struts:

0

 
 
Yellow "C" Struts
 

 

Yellow "C" Strut Units Entered:

0

Feet and Inches:

00"

 
 

Number of Pipes needed to Create (12) Yellow "C" Struts:

0

 
 

Number of Yellow "C" Struts Produced From Each Uncut Pipe:

0

 
 

Waste for First 0 Pipes after Cutting 0 Struts Each:

0 = 00"

 
 

<-

 
 

Number of Yellow "C" Struts Created from the first 0 Pipes:

0

 
 

Number of Yellow "C" Struts Created from the Last Pipe:

0

 
 

Waste on the Last Pipe after Cutting 0 Strut(s):

0

 
 

<-

 
 

Total Waste in Creating 12 Yellow "C" Struts:

0

 
 
Orange "D" Struts
 

 

Orange "D" Strut Units Entered:

0

Feet and Inches:

00"

 
 

Number of Pipes needed to Create (16) Orange "D" Struts:

0

 
 

Number of Orange "D" Struts Produced From Each Uncut Pipe:

0

 
 

Waste for First 0 Pipes after Cutting 0 Struts Each:

0 = 00"

 
 

<-

 
 

Number of Orange "D" Struts Created from the first 0 Pipes:

0

 
 

Number of Orange "D" Struts Created from the Last Pipe:

0

 
 

Waste on the Last Pipe after Cutting 0 Strut(s):

0

 
 

<-

 
 

Total Waste in Creating 16 Orange "D" Struts:

0

 
 
Green "E" Struts
 

 

Green "E" Strut Units Entered:

0

Feet and Inches:

00"

 
 

Number of Pipes needed to Create (24) Green "E" Struts:

0

 
 

Number of Green "E" Struts Produced From Each Uncut Pipe:

0

 
 

Waste for First 0 Pipes after Cutting 0 Struts Each:

0 = 00"

 
 

<-

 
 

Number of Green "E" Struts Created from the first 0 Pipes:

0

 
 

Number of Green "E" Struts Created from the Last Pipe:

0

 
 

Waste on the Last Pipe after Cutting 0 Strut(s):

0

 
 

<-

 
 

Total Waste in Creating 24 Green "E" Struts:

0

 
 
Blue "F" Struts
 

 

Blue "F" Strut Units Entered:

0

Feet and Inches:

00"

 
 

Number of Pipes needed to Create (12) Blue "F" Struts:

0

 
 

Number of Blue "F" Struts Produced From Each Uncut Pipe:

0

 
 

Waste for First 0 Pipes after Cutting 0 Struts Each:

0 = 00"

 
 

<-

 
 

Number of Blue "F" Struts Created from the first 0 Pipes:

0

 
 

Number of Blue "F" Struts Created from the Last Pipe:

0

 
 

Waste on the Last Pipe after Cutting 0 Strut(s):

0

 
 

<-

 
 

Total Waste in Creating 12 Blue "F" Struts:

0

 
 

COST OF MATERIALS GRAND TOTALS:

 
 

Total Waste for All Struts:

0

 
 

Number of Uncut Pipe/Materials Needed:

0

 
 

Total Cost of Materials @ $4.50 Each:

$

 

Dome Weight Chart

 
Weight Chart 3/4" PVC 1" PVC 1.25" PVC 1.5" PVC 3/4" EMT 1" EMT 1.25" EMT 1.5" EMT 1" Bamboo 1.5" Bamboo
Lbs Per Linear Ft .21 .32 .43 .51 .43 .64 .95 1.10 .2 .4
16 Red "A" Struts 0 0 0 0 0 0 0 0 0 0
24 Purple "B" Struts 0 0 0 0 0 0 0 0 0 0
12 Yellow "C" Struts 0 0 0 0 0 0 0 0 0 0
16 Orange "D" Struts 0 0 0 0 0 0 0 0 0 0
24 Green "E" Struts 0 0 0 0 0 0 0 0 0 0
12 Blue "F" Struts 0 0 0 0 0 0 0 0 0 0
Total Weight of Struts (lbs) 0 0 0 0 0 0 0 0 0 0
Weight of Hubs, Rings, Zip Ties 0 0 0 0 0 0 0 0 0 0
Total Dome Weight (lbs) 0 0 0 0 0 0 0 0 0 0
 

4 Frequency Octahedron Dome Tessellation Diagram

4V Octahedron Dome Tessellation Diagram

 

Red "A" Chord Factor:   .32036

Purple "B" Chord Factor:   .43887

Yellow "C" Chord Factor:   .44721

Orange "D" Chord Factor:   .45951

Green "E" Chord Factor:   .51764

Blue "F" Chord Factor:   .57735

Dome Panels / Coverings

 

A 4V Octahedron Dome Will Require Panels / Coverings for:

 

 

12 A-C-A Isosceles Triangles

12 B-C-B Isosceles Triangles

 
 

 

24 B-D-E Scalene Triangles

12 E-F-E Isosceles Triangles

10 F-F-F Equilateral Triangles

Total Triangles: 64

--------------------------------------------

 

Triangle Dimensions

 

12 A-C-A Isosceles Triangles

 
A-C-A Triangle
Base = "A"
Altitude A Decimal 0
Feet and Inches 0 0"
 
A-C-A Triangle
Base = "C"
Altitude C Decimal 0
Feet and Inches 0 0"
 
 
A-C-A
Triangle
Edge
Measurement Strut
Length
Center Ring
Hub Width
Triangle Edge
Total Length

A

Decimal 0 0 0
Feet and Inches 0 0" 0" 0 0"

C

Decimal 0 0 0
Feet and Inches 0 0" 0" 0 0"
 
Surface Area for Each A-C-A Triangle 0 Square

 

12 B-C-B Isosceles Triangles

 
B-C-B Triangle
Base = "B"
Altitude B Decimal 0
Feet and Inches 0 0"
 
B-C-B Triangle
Base = "C"
Altitude C Decimal 0
Feet and Inches 0 0"
 
 
B-C-B
Triangle
Edge
Measurement Strut
Length
Center Ring
Hub Width
Triangle Edge
Total Length

B

Decimal 0 0 0
Feet and Inches 0 0" 0" 0 0"

C

Decimal 0 0 0
Feet and Inches 0 0" 0" 0 0"
 
Surface Area for Each B-C-B Triangle 0 Square

 

24 B-D-E Scalene Triangles

B-D-E Triangle
Base = "B"
Altitude B Decimal 0
Feet and Inches 0 0"
B-D-E Triangle
Base = "D"
Altitude D Decimal 0
Feet and Inches 0 0"
B-D-E Triangle
Base = "E"
Altitude E Decimal 0
Feet and Inches 0 0"
 
B-D-E
Triangle
Edge
Measurement Strut
Length
Center Ring
Hub Width
Triangle Edge
Total Length

B

Decimal 0 0 0
Feet and Inches 0 0" 0" 0 0"

D

Decimal 0 0 0
Feet and Inches 0 0" 0" 0 0"

E

Decimal 0 0 0
Feet and Inches 0 0" 0" 0 0"
 
Surface Area for Each B-D-E Triangle 0 Square

 

12 E-F-E Isosceles Triangles

 
E-F-E Triangle
Base = "E"
Altitude E Decimal 0
Feet and Inches 0 0"
 
E-F-E Triangle
Base = "F"
Altitude F Decimal 0
Feet and Inches 0 0"
 
 
E-F-E
Triangle
Edge
Measurement Strut
Length
Center Ring
Hub Width
Triangle Edge
Total Length

E

Decimal 0 0 0
Feet and Inches 0 0" 0" 0 0"

F

Decimal 0 0 0
Feet and Inches 0 0" 0" 0 0"
 
Surface Area for Each E-F-E Triangle 0 Square

 

10 F-F-F Equilateral Triangles

 
F-F-F Triangle
Base = "F"
Altitude F Decimal 0
Feet and Inches 0 0"
 
 
F-F-F
Triangle
Edge
Measurement Strut
Length
Center Ring
Hub Width
Triangle Edge
Total Length

F

Decimal 0 0 0
Feet and Inches 0 0" 0" 0 0"
 
Surface Area for Each F-F-F Triangle 0 Square

 


4 Frequency Octahedron Dome Calculator generated by PERL on Friday, December 2, 2022.
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