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

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 Feet 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 Feet (πr²)

0 ft²

Dome Spherical Surface Area in Square Feet (2πrh)

0 ft³

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

Dome Base Perimeter Number of Sides

20 Sided Base Perimeter Length (Feet)

0 ft²

20 Sided Base Floor Area (Square Feet)

200

Total Number of Dome Panels / Faces

0 ft²

Surface Area for 200 Dome Panels / Faces (Square Feet)

0 ft³

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

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

Total Length of All Struts Added Together (Feet)

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

Cost Calculation and Material Utilization Chart

Red "A" Struts
Yellow "B" Struts
Brown "C" Struts
Black "D" Struts
Orange "E" Struts
Blue "F" Struts
Grand Totals

Length of Pipe:

Feet

Cost Per Pipe:

Red "A" Struts

Red "A" Strut Units Entered:

Feet and Inches:

0'0"

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' = 0'0"

<-'

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:

0'0"

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

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

Waste for First 0 Pipes after Cutting 0 Struts Each:

0' = 0'0"

<-'

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 35 Yellow "B" Struts:

Brown "C" Struts

Brown "C" Strut Units Entered:

Feet and Inches:

0'0"

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

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

Waste for First 0 Pipes after Cutting 0 Struts Each:

0' = 0'0"

<-'

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

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

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

<-'

Total Waste in Creating 80 Brown "C" Struts:

Black "D" Struts

Black "D" Strut Units Entered:

Feet and Inches:

0'0"

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

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

Waste for First 0 Pipes after Cutting 0 Struts Each:

0' = 0'0"

<-'

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

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

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

<-'

Total Waste in Creating 80 Black "D" Struts:

Orange "E" Struts

Orange "E" Strut Units Entered:

Feet and Inches:

0'0"

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

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

Waste for First 0 Pipes after Cutting 0 Struts Each:

0' = 0'0"

<-'

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

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

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

<-'

Total Waste in Creating 45 Orange "E" Struts:

Blue "F" Struts

Blue "F" Strut Units Entered:

Feet and Inches:

0'0"

Number of Pipes needed to Create (40) Blue "F" Struts:

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

Waste for First 0 Pipes after Cutting 0 Struts Each:

0' = 0'0"

<-'

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

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

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

<-'

Total Waste in Creating 40 Blue "F" 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
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

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

4V 7/12 Kruschke Geodesic Dome Construction Diagram

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

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'
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 Feet

35 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 Feet

80 C-D-F Scalene Triangles

C-D-F Triangle
Base = "C"

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

C-D-F Triangle
Base = "D"

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

C-D-F Triangle
Base = "F"

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

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

F	Decimal	0'	0'	0'
F	Feet and Inches	0' 0"	0"	0' 0"

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

40 D-E-D Isosceles Triangles

D-E-D Triangle
Base = "D"

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

D-E-D Triangle
Base = "E"

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

E	Decimal	0'	0'	0'
E	Feet and Inches	0' 0"	0"	0' 0"

Surface Area for Each D-E-D Triangle	0 Square Feet

15 E-E-E Equilateral Triangles

E-E-E Triangle
Base = "E"

Altitude E	Decimal	0'
Altitude E	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'
E	Feet and Inches	0' 0"	0"	0' 0"

Surface Area for Each E-E-E Triangle	0 Square Feet

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

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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