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.

3 Frequency 4/9 Kruschke Geodesic Dome Calculator

This dome design by David Kruschke produces a 3v dome with a perfectly flat base, which is ONLY NEEDED for rigid timber dome construction. The Kruschke design is NOT REQUIRED for 3v "Hub and Strut" domes, as the hubs allow the struts to flex to handle the tiny variations in the standard "Class I, Method 1" 3v dome base.

3 Frequency 4/9 Kruschke Geodesic Dome Calculator

3v 4/9 Kruschke

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 30 Red "A" Struts

0 0"

.329706

Length of 30 Yellow "B" Struts

0 0"

.382290

Length of 50 Black "C" Struts

0 0"

.421489

Length of 10 Blue "D" Struts

0 0"

.441056

Dome Radius (r)

0 0"

Dome Equator Circumference (2πr)

0 0"

Dome Circular Floor Area in Square (πr²)

Dome Spherical Surface Area in Square (2πrh)

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

Dome Base Perimeter Number of Sides

15 Sided Base Perimeter Length ()

15 Sided Base Floor Area (Square )

Total Number of Dome Panels / Faces

Surface Area for 75 Dome Panels / Faces (Square )

Total Volume of Tetrahedrons behind 75 Dome Panels / Faces in Cubic

Number of Red 72° 5-Way Hubs

Number of Blue 60° 6-Way Hubs

Number of Center Rings

240

Number of Zip Ties to Construct the Dome

138

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

138

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

Total Length of All Struts Added Together ()

Instructional Video on How to Use This Section of the Dome Calculator

Cost Calculation and Material Utilization Chart

Red "A" Struts
Yellow "B" Struts
Black "C" Struts
Blue "D" Struts
Grand Totals

Length of Pipe:

Cost Per Pipe:

Red "A" Struts

Red "A" Strut Units Entered:

Feet and Inches:

00"

Number of Pipes needed to Create (30) Red "A" Struts:

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

Waste for First 0 Pipes after Cutting 0 Struts Each:

0 = 00"

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

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

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

Total Waste in Creating 30 Red "A" Struts:

Yellow "B" Struts

Yellow "B" Strut Units Entered:

Feet and Inches:

00"

Number of Pipes needed to Create (30) Yellow "B" Struts:

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

Waste for First 0 Pipes after Cutting 0 Struts Each:

0 = 00"

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

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

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

Total Waste in Creating 30 Yellow "B" Struts:

Black "C" Struts

Black "C" Strut Units Entered:

Feet and Inches:

00"

Number of Pipes needed to Create (50) Black "C" Struts:

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

Waste for First 0 Pipes after Cutting 0 Struts Each:

0 = 00"

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

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

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

Total Waste in Creating 50 Black "C" Struts:

Blue "D" Struts

Blue "D" Strut Units Entered:

Feet and Inches:

00"

Number of Pipes needed to Create (10) Blue "D" Struts:

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

Waste for First 0 Pipes after Cutting 0 Struts Each:

0 = 00"

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

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

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

Total Waste in Creating 10 Blue "D" Struts:

COST OF MATERIALS GRAND TOTALS:

Total Waste for All Struts:

Number of Uncut Pipe/Materials Needed:

Total Cost of Materials @ $4.50 Each:

Instructional Video on How to Use This Section of the Dome Calculator

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
30 Red "A" Struts	0	0	0	0	0	0	0	0	0	0
30 Yellow "B" Struts	0	0	0	0	0	0	0	0	0	0
50 Black "C" Struts	0	0	0	0	0	0	0	0	0	0
10 Blue "D" 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

Instructional Video on How to Use This Section of the Dome Calculator

3V 4/9 Kruschke Geodesic Dome Construction Diagram

Instructional Video on How to Use This Section of the Dome Calculator

3 Frequency 4/9 Kruschke Geodesic Dome Tessellation Diagram

3V 4/9 Kruschke Geodesic Dome Tessellation Diagram

Red "A" Chord Factor: .329706

Yellow "B" Chord Factor: .382290

Black "C" Chord Factor: .421489

Blue "D" Chord Factor: .441056

Dome Panels / Coverings

A 3V 4/9 Kruschke Geodesic Dome Will Require Panels / Coverings for:

30 A-B-A Isosceles Triangles

25 C-B-C Isosceles Triangles

20 C-D-C Isosceles Triangles

Total Triangles: 75

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

Triangle Dimensions

30 A-B-A Isosceles Triangles

A-B-A Triangle
Base = "A"

Altitude A	Decimal	0
Altitude A	Feet and Inches	0 0"

A-B-A Triangle
Base = "B"

Altitude B	Decimal	0
Altitude B	Feet and Inches	0 0"

A-B-A Triangle Edge	Measurement	Strut Length	Center Ring Hub Width	Triangle Edge Total Length
A	Decimal	0	0	0
A	Feet and Inches	0 0"	0"	0 0"

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

Surface Area for Each A-B-A Triangle	0 Square

25 C-B-C Isosceles Triangles

C-B-C Triangle
Base = "B"

Altitude B	Decimal	0
Altitude B	Feet and Inches	0 0"

C-B-C Triangle
Base = "C"

Altitude C	Decimal	0
Altitude C	Feet and Inches	0 0"

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

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

Surface Area for Each C-B-C Triangle	0 Square

20 C-D-C Isosceles Triangles

C-D-C Triangle
Base = "C"

Altitude C	Decimal	0
Altitude C	Feet and Inches	0 0"

C-D-C Triangle
Base = "D"

Altitude D	Decimal	0
Altitude D	Feet and Inches	0 0"

C-D-C Triangle Edge	Measurement	Strut Length	Center Ring Hub Width	Triangle Edge Total Length
C	Decimal	0	0	0
C	Feet and Inches	0 0"	0"	0 0"

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

Surface Area for Each C-D-C Triangle	0 Square

Instructional Video on How to Use This Section of the Dome Calculator

3 Frequency 4/9 Kruschke Geodesic Dome Calculator generated by PERL on Friday, December 2, 2022.
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Flag of Scotland
Alba gu bráth - Scotland Until Judgment

Such A Parcel Of Rogues In A Nation

Fareweel to a' our Scottish fame,
Fareweel our ancient glory;
Fareweel ev'n to the Scottish name,
Sae fam'd in martial story.
Now Sark rins over Solway sands,
An' Tweed rins to the ocean,
To mark where England's province stands-
Such a parcel of rogues in a nation!

What force or guile could not subdue,
Thro' many warlike ages,
Is wrought now by a coward few,
For hireling traitor's wages.
The English stell we could disdain,
Secure in valour's station;
But English gold has been our bane-
Such a parcel of rogues in a nation!

O would, or I had seen the day
That Treason thus could sell us,
My auld grey head had lien in clay,
Wi' Bruce and loyal Wallace!
But pith and power, till my last hour,
I'll mak this declaration;
We're bought and sold for English gold-
Such a parcel of rogues in a nation!

Robert Burns - 1791

Burns wrote this poem for the corrupt Scottish politicians
who sold Scotland to England under the "Act of Union" in 1707.

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3V 4/9 Kruschke Geodesic Dome Calculator

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3V 4/9 Kruschke Geodesic Dome Calculator

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3V 4/9 Kruschke Geodesic Dome Calculator

How to Use the Dome Calculator

3 Frequency 4/9 Kruschke Geodesic Dome Calculator