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

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Designing a Home

Introduction

This page shows you the steps for designing a home. The home in this example is:

c1i03.png

c1i03.png

Since the home is a 5/8 dome, the dome in this picture is truncated just below the equator. The equator has a y axis of zero in this picture.

Strlen Summary

Run strlen with the following parameters:

      strlen -c1 -pi -f3 -d 12.0

The end of the summary report should look like this.


Class I Icosahedron  Frequency 3  Radius 6.000000  Diameter 12.000000

Minimum length 2.091693
Maximum length 2.474469   1.182998 times longer
Average length 2.329150   Stdev 0.169306
Struts per face       18
Total  faces          20
Struts per sphere    360
Length count   3

    Strut List
    Count   Length
        6   2.091693
        6   2.421289
        6   2.474469


Notice that there are three types of struts on each face of the icosahedron. They differ by length. The house in this design has 15 faces on the icosahedron. The 10 side faces are truncated by one row of triangles.

Here is the full summary report from strlen.

The first part of this report describes a face that looks like this:

face1.png

face1.png

The numbers at each vertex are the node numbers in the summary report. So, the first strut in the report is from node 0 to node 1 in this diagram.


From  0  xyz  0  0  3  phi theta   0.000000000000   0.000000000000
To    1  xyz  0  1  2  phi theta   0.000000000000  20.076751274690
Length   0.348615488820       2.091692932922


Notice the phi and theta angles at each corner of the triangle. They are the phi and theta angles described in the report for nodes 0, 6, and 9.

All the other faces of the dome, faces 2 through 15, look like face 1, except that they are truncated by one row next to the ground.

This is what faces 1, 6, and 7 look like when they are placed together.

face167.png

face167.png

The node numbers for the bottom two faces don't show on this diagram. However, here are the nodes for face 6:

face6.png

face6.png

...and here are the nodes for face 7:

face7.png

face7.png


The full 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 6 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 0 to node 1.


From  0  xyz  0  0  3  phi theta   0.000000000000   0.000000000000
To    1  xyz  0  1  2  phi theta   0.000000000000  20.076751274690
Length   0.348615488820       2.091692932922


The next picture shows you the lengths of the struts for face 1 based on color codes for the struts. Notice the three-way symmetry in face 1. That symmetry is repeated throughout the dome.

face1c.png

face1c.png

Color Length
Red 2.091693
Blue 2.421289
Green 2.474469


The color codes for faces 1, 6, and 7 fit together logically, based on the color codes for face 1.

face167c.png

face167c.png

These three faces are repeated five times around the dome. They extend from the top of the dome down to ground level.


Here is what the icosahedron looks like at a frequency of one. There are twenty faces in the full icosahedron. Each of these faces is tessellated to create the frequency 3 dome, described on this page.

icosa.png

icosa.png

You can see 4 side faces in the foreground. The other 6 side faces are in the background, on the opposite side of the icosahedron. The bottom third of the side faces are truncated at ground level to create a 5/8 dome.


You can design your house by just using the summary report. If you need more detail about phi and theta angles and node numbers for the other faces, run the full strlen report as follows:

      strlen -c1 -pi -f3 -d 12.0 -s


Designing a frequency 3 Buckyball Home

Designing a frequency 6 Buckyball Home