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4V 7/12 Kruschke Geodesic Dome Calculator

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4V 7/12 Kruschke Geodesic Dome Calculator

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4V 7/12 Kruschke Geodesic 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 7/12 Kruschke Geodesic Dome Calculator

This dome design by David Kruschke will produce a flat base at the 7/12 truncation of a 4 frequency dome.

4 Frequency 7/12 Kruschke Geodesic Dome Calculator

4v 7/12 Kruschke Geodesic Dome Calculator
4v 7/12 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"

.22219

 
 

Length of 35 Yellow "B" Struts

0 0"

.25958

 
 

Length of 80 Brown "C" Struts

0 0"

.30906

 
 

Length of 80 Black "D" Struts

0 0"

.31287

 
 

Length of 45 Orange "E" Struts

0 0"

.32492

 
 

Length of 40 Blue "F" Struts

0 0"

.32942

 
 

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)

 

20

Dome Base Perimeter Number of Sides

 

0

20 Sided Base Perimeter Length ()

 

0

20 Sided Base Floor Area (Square )

 

200

Total Number of Dome Panels / Faces

 

0

Surface Area for 200 Dome Panels / Faces (Square )

 

0

Total Volume of Tetrahedrons behind 200 Dome Panels / Faces in Cubic

 

6

Number of Red 72° 5-Way Hubs

 

105

Number of Blue 60° 6-Way Hubs

 

111

Number of Center Rings

 

620

Number of Zip Ties to Construct the Dome

 

333

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

 

333

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 (30) 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 30 Red "A" Struts:

0

 
 
Yellow "B" Struts
 

 

Yellow "B" Strut Units Entered:

0

Feet and Inches:

00"

 
 

Number of Pipes needed to Create (35) Yellow "B" Struts:

0

 
 

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

0

 
 

Waste for First 0 Pipes after Cutting 0 Struts Each:

0 = 00"

 
 

<-

 
 

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

0

 
 

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

0

 
 

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

0

 
 

<-

 
 

Total Waste in Creating 35 Yellow "B" Struts:

0

 
 
Brown "C" Struts
 

 

Brown "C" Strut Units Entered:

0

Feet and Inches:

00"

 
 

Number of Pipes needed to Create (80) Brown "C" Struts:

0

 
 

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

0

 
 

Waste for First 0 Pipes after Cutting 0 Struts Each:

0 = 00"

 
 

<-

 
 

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

0

 
 

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

0

 
 

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

0

 
 

<-

 
 

Total Waste in Creating 80 Brown "C" Struts:

0

 
 
Black "D" Struts
 

 

Black "D" Strut Units Entered:

0

Feet and Inches:

00"

 
 

Number of Pipes needed to Create (80) Black "D" Struts:

0

 
 

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

0

 
 

Waste for First 0 Pipes after Cutting 0 Struts Each:

0 = 00"

 
 

<-

 
 

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

0

 
 

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

0

 
 

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

0

 
 

<-

 
 

Total Waste in Creating 80 Black "D" Struts:

0

 
 
Orange "E" Struts
 

 

Orange "E" Strut Units Entered:

0

Feet and Inches:

00"

 
 

Number of Pipes needed to Create (45) Orange "E" Struts:

0

 
 

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

0

 
 

Waste for First 0 Pipes after Cutting 0 Struts Each:

0 = 00"

 
 

<-

 
 

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

0

 
 

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

0

 
 

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

0

 
 

<-

 
 

Total Waste in Creating 45 Orange "E" Struts:

0

 
 
Blue "F" Struts
 

 

Blue "F" Strut Units Entered:

0

Feet and Inches:

00"

 
 

Number of Pipes needed to Create (40) 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 40 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
30 Red "A" Struts 0 0 0 0 0 0 0 0 0 0
35 Yellow "B" Struts 0 0 0 0 0 0 0 0 0 0
80 Brown "C" Struts 0 0 0 0 0 0 0 0 0 0
80 Black "D" Struts 0 0 0 0 0 0 0 0 0 0
45 Orange "E" Struts 0 0 0 0 0 0 0 0 0 0
40 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 7/12 Kruschke Geodesic Dome Tessellation Diagram

4V 7/12 Kruschke Geodesic Dome Tessellation Diagram

 

Red "A" Chord Factor:   .22219

Yellow "B" Chord Factor:   .25958

Brown "C" Chord Factor:   .30906

Black "D" Chord Factor:   .31287

Orange "E" Chord Factor:   .32492

Blue "F" Chord Factor:   .32942

Dome Panels / Coverings

 

A 4V 7/12 Kruschke Geodesic Dome Will Require Panels / Coverings for:

 

 

30 A-B-A Isosceles Triangles

35 C-B-C Isosceles Triangles

 
 

 

80 C-D-F Scalene Triangles

40 D-E-D Isosceles Triangles

15 E-E-E Equilateral Triangles

Total Triangles: 200

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

 

Triangle Dimensions

 

30 A-B-A Isosceles Triangles

 
A-B-A Triangle
Base = "A"
Altitude A Decimal 0
Feet and Inches 0 0"
 
A-B-A Triangle
Base = "B"
Altitude B Decimal 0
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
Feet and Inches 0 0" 0" 0 0"

B

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

 

35 C-B-C Isosceles Triangles

 
C-B-C Triangle
Base = "B"
Altitude B Decimal 0
Feet and Inches 0 0"
 
C-B-C Triangle
Base = "C"
Altitude C Decimal 0
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
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 C-B-C Triangle 0 Square

 

80 C-D-F Scalene Triangles

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

C

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"

F

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

 

40 D-E-D Isosceles Triangles

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

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 D-E-D Triangle 0 Square

 

15 E-E-E Equilateral Triangles

 
E-E-E Triangle
Base = "E"
Altitude E Decimal 0
Feet and Inches 0 0"
 
 
E-E-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"
 
Surface Area for Each E-E-E Triangle 0 Square

 


4 Frequency 7/12 Kruschke Geodesic Dome Calculator generated by PERL on Monday, December 9, 2024.

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Ithers seek they ken na what,
Features, carriage, and a' that;
Gie me love in her I court,
Love to love maks a' the sport.

Let love sparkle in her e'e;
Let her lo'e nae man but me;
That's the tocher-gude I prize,
There the luver's treasure lies.

Robert Burns - 1792

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