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Geodesic Bioshelter

The merit of the sphere suggest it the best structure for a bioshelter. This assumes that the climate within can most efficiently be controlled because the surface area is least for a given volume.  The dome is a half sphere which can contain as little as a house or as much as a city.  It affords inhabitants protection from the elements while they lead lives unencumbered by unpredictable climate changes and extremes.
Geodesic domes do an effective job of imitating the value of the sphere while retaining the potential for tetrahedral support.  It also has an aesthetic appeal given its underlying form and functionality.  Geodesics are also said to have a synergetic quality in that as they become larger they become more stable and more efficient. 


Geodesic Analysis

The intricacies of the geodesic are best understood through mathematics.  While geodesics can be based on any geometric form, this one uses the isocahedron.  The isocahedron is a twenty equal sided three dimensional form.
Secform Calculations

The objective with these calculations is to find the values of AB and BC.  It is understood that AB is equal to BC.  It is important to note that AC is the length of the prior face edge.
Equal Primeform Calculations

The objective of these calculations is to determine the value of CD.  Points A and B are located in the middle of the edges so that their distance from origin is less than r or OC.  Note: r =OC=OD=OX=OY=OZ
A. Find AO and BO
B. Find value for CD.  Remember that AB is equal to half the length of the prior face edge.
Unequal Primeform Calculations

The objective of these calculations is to determine the values of CD.  Points A and B are located in the middle of the edges so their distance from the origin is less than r.  AB is equal to half the corresponding face edge.  But, unlike the last group of calculations, the edges for which these are apart are unequal in length.  This means that these points are unequal distances from the origin.
A. Find lengths AO and BO
B. Next, one must find the <AOB

Formula 1:
Formula 2:
Combine formulas:
Formula 3:
Formula 3: (again)
Find CD:
Building Geodesic Domes

It�s easy to construct geodesic domes using metal or plastic conduit.
Pieces cut to length are flattened at the ends.
Holes are drilled into these ends so that they may be fastened to each other by bolts.
Plastic sheeting could be used to make inflatable sides to make the domes air tight.  These sheets are fastened to the conduit using tracking.

The PVC pipe dome to the right is 8 1/2 feet tall.
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