Copyright (C) 2004-2010 dondalah721@yahoo.com (Dondalah)
This page shows you the steps for designing a home. The home in this example is:
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.
Run strlen with the following parameters:
strlen -c1 -pi -f3 -d 12.0
The end of the summary report should look like
this.
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:
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.
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.
The node numbers for the bottom two faces don't show
on this diagram. However, here are the nodes for
face 6:
...and here are the nodes for face 7:
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.
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.
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
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
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
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.
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.
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