Copyright (C) 2004-2005 dondalah@ripco.com (Dondalah)

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Designing a Buckyball Home

Frequency 6

If you want to design a large buckyball dome, you may want to look at a frequency 6 dome. The dome in this example is:

Compare this to a frequency 3 buckyball dome.

bbc1i06.png

Full Sphere: bbc1i06.png


bbc1i06b.png

First view: bbc1i06b.png


bbc1i06f.png

Second view: bbc1i06f.png

As you can see from the picture, the dihedral angles of each face are shallower than on a frequency 3 dome. You will have to make sure that the connections along the edges are strong enough to withstand stress, to prevent the dome from buckling.

The height of the dome is 10 meters. You will need a special ladder to climb up on the outside to do maintenance.

Here is the end of the summary report for the frequency 6 buckyball dome.


Class I Icosahedron  Frequency 6  Radius 10.000000  Diameter 20.000000
Buckyball

Minimum length 1.873834
Maximum length 2.153537   1.149268 times longer
Average length 1.988538   Stdev 0.112073
Struts per face       21
Total  faces          20
Struts per sphere    420
Length count   4

    Strut List
    Count   Length
        6   1.873834
        3   1.904769
        6   1.980126
        6   2.153537


Notice that the frequency 6 dome has 4 different strut lengths along the edges of the hexagons and pentagons. As a result, you will have to measure each pentagon and hexagon carefully to make sure that they fit in their proper place on the dome.

The following picture shows you the nodes for each hexagon. This will help you to measure the exact length of each of the sides, using the summary report.

bb6face1.png

Nodes: bb6face1.png

The struts for

...all have the same length. These are the sides of the pentagons. The pentagons are faces that are surrounded by five hexagons.


The next picture shows you how faces 1, 6, and 7 fit together.

bb6face167.png

Faces 1, 6, 7: bb6face167.png

The numbers inside each hexagon identify the hexagon uniquely, so that you know what its dimensions are. As in the frequency 3 dome, face 7 is upside down.


The summary report shows you the length of each strut as the second number on the Length line. The second number is based on a radius of 10 meters. The first number is based on a radius of 1.

The From node is always a smaller node number than the To node in the report.

Here is the first strut from node 1 to node 2.


From  1  xyz  0  1  5  phi theta   0.000000000000   9.324703482506
To    2  xyz  1  0  5  phi theta  72.000000000000   9.324703482506
Length   0.190476861168       1.904768611676


Individual Hexagons

The following four images show you what the dimensions are for each of the hexagons in face 1 of the buckyball dome. The node numbers are red. The length is rounded to 1/10 of a milimeter.


hex1.png

Hesagon 1: hex1.png


hex2.png

Hesagon 2: hex2.png


hex3.png

Hesagon 3: hex3.png


hex4.png

Hesagon 4: hex4.png


hex5.png

Hesagon 5: hex5.png


Remember that face 7 is the same as face 1, only it is missing hexagon 1, and it is upside down.

With these five images of the hexagons, you have enough information to color code the edges. With color coded edges, the builders will be able to fit the hexagons together in their proper places on the dome.