- (square root(5) + 1) / 2 = 1.618....Darrin----- Original Message -----
**From:**Axe Kooi**Sent:**Tuesday, February 05, 2002 12:56 AM**Subject:**RE: [sl] Megalithic PentagramBarry,

When I looked at the post, i saw you are dealing with something i was too.

Please be aware of the fact that square root of 5 seems like phi but it is

not exactly so....

the angle in the pentagram which comes close is 54 degrees, but 2*26.565 (2*

sqr(5))=53.13 degrees.

Too a diggerence much to build on, im sure.

However it is ooone of the angles found in the 3-4-5 triangle, im sure the

Mexican labourers use equipment with this ratio's. At least architects do.

If I am wrong, please correct me. I couldn't read the picture of the piramid

so well.

Axe

----- Original Message -----

From: "Barry Carroll" <palladin@...>

To: <sacredlandscapelist@yahoogroups.com>

Sent: Tuesday, November 13, 2001 10:39 PM

Subject: [sl] Megalithic Pentagram

> dan--

> here is that bit i told you about

> re why the pentagram might be used as a builders mark.

> look at the attachments.

> May be they are old hat to you, maybe not.

>

> Also this stuff might leave some readers behind,

> but my intention is just the opposite.

> To Neoplatonists and the folks they followed after, see certain

> shapes as the building blocks of the universe and sacred builders

> in that tradition have tried to pattern their work after God's example.

> That's why this subject keeps coming around.

>

> The first digram is attributed to Swede, Tons Brunes

> and is out of Mysteries of the Great Pyramid.

>

> I'm not sure if you can read the tiny text, but

> I also color coded it so as to make clearer his point.

>

> The ratios that make up the square root relationships

> shown, are the relationships between the hypotanuse

> and the base of the triangles I've highlighted.

>

> This is supposed to show their origins by construction

> using only geometry without measurement.

> There are also tricks you can play with areas of the root rectangles

> that we are not going to talk about now.

>

> The pink and the green show the root 2 and the root 5 respectively.

> You can see how the patternboard also yields smaller subdivisions of

> the original triangles

>

> Also shown is the start of a pentagram inscribed in a circle

> marked to illustrate the Phi or golden section ratio .

>

> Below it is a pentagon in a circle.

> In blue, the side and base of that triangle are in the root 3 ratio.

>

> I don't understand what is being said in the part

> that shows the angles in the diagram as being

> functions of Phi. It looks like trig.

> Can i get some help on that?

>

> Phi and the pentagon also have properties that are linked to

> the structure of the Pyramid.

> A simple illustration of one appears in the second attachment

> taken from The Power of Limits--

> a picture is worth 10,000 words.

>

> I think Roland's post hits the nail on the head here:

>

> It seems the key element is the triangle

> in relation to the circle or spherical

> coordinates and the discovery and use of

> trigonometric ratios and triangulation.

>

> As you know, I'm very fond of what you can do if you base

> the size of your circle on the circumference of the Earth .

>

> Re the search for tools:

> A set of draftsman's triangles is pretty handy in planning and design.

> Beyond that, that knotted cord, the so-callerd "ropestretcher's triangle",

> is quite helpful as a field instrument in getting the angles right

> as well as the proportions we have looked at in these diagrams.

> Do you know this tool from pictures?

> I've seen Mexican laborers use one of these things to check the forms

> for the slabs of suburban tract homes right here in Austin.

> Before that, I thought they

> went out with the Pyramids--or the Cathedrals anyway!

>

> best wishes,

> B`Your use of Yahoo! Groups is subject to the Yahoo! Terms of Service.` - Aha! I get the point!Thanx, Axe----- Original Message -----
**From:**gphx**Sent:**Tuesday, February 05, 2002 7:36 PM**Subject:**Re: [sl] Megalithic Pentagram(square root(5) + 1) / 2 = 1.618....Darrin----- Original Message -----**From:**Axe Kooi**Sent:**Tuesday, February 05, 2002 12:56 AM**Subject:**RE: [sl] Megalithic PentagramBarry,

When I looked at the post, i saw you are dealing with something i was too.

Please be aware of the fact that square root of 5 seems like phi but it is

not exactly so....

the angle in the pentagram which comes close is 54 degrees, but 2*26.565 (2*

sqr(5))=53.13 degrees.

Too a diggerence much to build on, im sure.

However it is ooone of the angles found in the 3-4-5 triangle, im sure the

Mexican labourers use equipment with this ratio's. At least architects do.

If I am wrong, please correct me. I couldn't read the picture of the piramid

so well.

Axe

----- Original Message -----

From: "Barry Carroll" <palladin@...>

To: <sacredlandscapelist@yahoogroups.com>

Sent: Tuesday, November 13, 2001 10:39 PM

Subject: [sl] Megalithic Pentagram

> dan--

> here is that bit i told you about

> re why the pentagram might be used as a builders mark.

> look at the attachments.

> May be they are old hat to you, maybe not.

>

> Also this stuff might leave some readers behind,

> but my intention is just the opposite.

> To Neoplatonists and the folks they followed after, see certain

> shapes as the building blocks of the universe and sacred builders

> in that tradition have tried to pattern their work after God's example.

> That's why this subject keeps coming around.

>

> The first digram is attributed to Swede, Tons Brunes

> and is out of Mysteries of the Great Pyramid.

>

> I'm not sure if you can read the tiny text, but

> I also color coded it so as to make clearer his point.

>

> The ratios that make up the square root relationships

> shown, are the relationships between the hypotanuse

> and the base of the triangles I've highlighted.

>

> This is supposed to show their origins by construction

> using only geometry without measurement.

> There are also tricks you can play with areas of the root rectangles

> that we are not going to talk about now.

>

> The pink and the green show the root 2 and the root 5 respectively.

> You can see how the patternboard also yields smaller subdivisions of

> the original triangles

>

> Also shown is the start of a pentagram inscribed in a circle

> marked to illustrate the Phi or golden section ratio .

>

> Below it is a pentagon in a circle.

> In blue, the side and base of that triangle are in the root 3 ratio.

>

> I don't understand what is being said in the part

> that shows the angles in the diagram as being

> functions of Phi. It looks like trig.

> Can i get some help on that?

>

> Phi and the pentagon also have properties that are linked to

> the structure of the Pyramid.

> A simple illustration of one appears in the second attachment

> taken from The Power of Limits--

> a picture is worth 10,000 words.

>

> I think Roland's post hits the nail on the head here:

>

> It seems the key element is the triangle

> in relation to the circle or spherical

> coordinates and the discovery and use of

> trigonometric ratios and triangulation.

>

> As you know, I'm very fond of what you can do if you base

> the size of your circle on the circumference of the Earth .

>

> Re the search for tools:

> A set of draftsman's triangles is pretty handy in planning and design.

> Beyond that, that knotted cord, the so-callerd "ropestretcher's triangle",

> is quite helpful as a field instrument in getting the angles right

> as well as the proportions we have looked at in these diagrams.

> Do you know this tool from pictures?

> I've seen Mexican laborers use one of these things to check the forms

> for the slabs of suburban tract homes right here in Austin.

> Before that, I thought they

> went out with the Pyramids--or the Cathedrals anyway!

>

> best wishes,

> B`Your use of Yahoo! Groups is subject to the Yahoo! Terms of Service.``Your use of Yahoo! Groups is subject to the Yahoo! Terms of Service.`