Search found 12588 matches

by Amigoo
Mon May 02, 2011 10:33 pm
Forum: Current Events
Topic: Paradise Trinity Day
Replies: 4537
Views: 2013569

Re: Paradise Trinity Day

The final update to this design incorporates improved geometric balance. Although this caused the upper bar of the cross to no longer be centered on the diagonal line of the largest triangle, the geometric symbolism increased: the upper left quadrant of this portion of the cross now reflects the gol...
by Amigoo
Fri Apr 29, 2011 6:52 pm
Forum: Current Events
Topic: Paradise Trinity Day
Replies: 4537
Views: 2013569

Re: Paradise Trinity Day

Re: http://www.aitnaru.org/homepage/freewill.html This design gradually wandered away from a focus solely on the geometry. As the geometry developed, the inherent symbolism of the design appeared to change as well. Although "Patriarchal Cross" and "Cross of Lorraine" are common n...
by Amigoo
Mon Apr 25, 2011 1:07 am
Forum: Current Events
Topic: Paradise Trinity Day
Replies: 4537
Views: 2013569

Re: Paradise Trinity Day

Lucky, I forgot to mention how the Cross of Lorraine was added to the geometry. While searching for information about the Golden Spiral, I found this page: http://www.thevesselofgod.com/crosslorraine2.html . The two-bar Cross is important symbolism for that design; that spiral is a Fibonacci spiral ...
by Amigoo
Sun Apr 24, 2011 9:36 pm
Forum: Current Events
Topic: Paradise Trinity Day
Replies: 4537
Views: 2013569

Re: Paradise Trinity Day

Lucky, In my search for geometric objects which would provide clues for "squaring the circle" (specifically those which relate to the "7" shape in the numerous x:07 prompts that I've been receiving since last October when a 7.07107 line length appeared in the exploratory geometry...
by Amigoo
Sun Apr 24, 2011 4:44 pm
Forum: Current Events
Topic: Paradise Trinity Day
Replies: 4537
Views: 2013569

Re: Paradise Trinity Day

Lucky, Yes, the effort keeps proving its value and often includes the necessary lessons of patience ... I'm convinced now that the "7", conveyed as symbolism by the prompts, is the triangle formed by a Golden Mean rectangle (picture a right triangle with its 90-degree angle in the upper ri...
by Amigoo
Fri Apr 22, 2011 9:22 pm
Forum: Current Events
Topic: Paradise Trinity Day
Replies: 4537
Views: 2013569

Re: Paradise Trinity Day

Re: http://www.aitnaru.org/homepage/freewill.html This design shows why the triangle is the better focus for a Golden Ratio spiral than the square or the rectangle. Imagine the dark blue triangles rotating on their 90-degree angles with their side lengths changing as they rotate: To rotate 90 degree...
by Amigoo
Mon Apr 18, 2011 8:33 pm
Forum: Current Events
Topic: Paradise Trinity Day
Replies: 4537
Views: 2013569

Re: Paradise Trinity Day

My comment should have read "90-degree angles" not "45-degree angles".

My 1040 tax form (prepared on the last day for filing) was stressful;
not as easy as "squaring the circle".

Rod
by Amigoo
Mon Apr 18, 2011 8:17 pm
Forum: Current Events
Topic: Paradise Trinity Day
Replies: 4537
Views: 2013569

Re: Paradise Trinity Day

Today's insight: http://www.aitnaru.org/homepage/freewill.html ... and a riddle for this design: Give yourself a golden star if you recognize the proportions in this geometry. There are many "7"s in this design, but they have a horizontal top and vertical side (notice the dark blue lines w...
by Amigoo
Fri Apr 01, 2011 7:39 pm
Forum: Current Events
Topic: Paradise Trinity Day
Replies: 4537
Views: 2013569

Re: Paradise Trinity Day

One-day geometry entertainment for April 1st: http://www.aitnaru.org/homepage/freewill.html Is this serious geometry? How can I tell? The cat's got my tongue! Did Einstein stick out his? A whiskered riddle about this design: No toes but eyes nose and 3 circles squared - see one without toes. Serious...
by Amigoo
Mon Mar 21, 2011 6:07 pm
Forum: Current Events
Topic: Paradise Trinity Day
Replies: 4537
Views: 2013569

Re: Paradise Trinity Day

Progress continues to be slow, but the x:07 prompts occur even after I try to convince myself that the goal may not be achievable. And this continued prompting suggests otherwise - the goal is achievable! Yesterday's observation seems to provide an important clue ... For any square, the length of a ...
by Amigoo
Fri Mar 11, 2011 7:33 pm
Forum: Current Events
Topic: Paradise Trinity Day
Replies: 4537
Views: 2013569

Re: Paradise Trinity Day

This morning's point (an observation) ... Only one point must be known in order to square a circle: A point away from the center of the circle (its distance equal to the length of one side of the square of the circle) allows an equilateral triangle to be placed on the circle. One side of that triang...
by Amigoo
Fri Mar 11, 2011 6:04 pm
Forum: Current Events
Topic: Paradise Trinity Day
Replies: 4537
Views: 2013569

Re: Paradise Trinity Day

I once read a meditative version of the Chicken question: "Which arrived first, the chicken or the road? Regarding my thesis that not all of the 8 points on a circle are required to determine the circle's square ... I restored the decorative and intriguing image on the site page which visually ...
by Amigoo
Fri Mar 11, 2011 9:37 am
Forum: Current Events
Topic: Paradise Trinity Day
Replies: 4537
Views: 2013569

Re: Paradise Trinity Day

Maybe the purpose of the x:53 prompt ... After reviewing the "No. 53" geometry dozens of times, I finally noticed that 10 was not the diameter of that circle - it was 11.28379. And this allows for a square of 10 units per side, obviously part of last summer's "reverse engineering"...
by Amigoo
Fri Mar 11, 2011 6:44 am
Forum: Current Events
Topic: Paradise Trinity Day
Replies: 4537
Views: 2013569

Re: Paradise Trinity Day

Interesting possibilities (7.070707, 7.77, etc.), but I'm looking for naturally occurring line lengths within symmetrical geometry. I haven't seen 7.77 or 7.0707, but could draw such a line length. Where to place that line is a mystery - it could also be a puzzle piece that doesn't belong to this pu...
by Amigoo
Thu Mar 10, 2011 5:44 pm
Forum: Current Events
Topic: Paradise Trinity Day
Replies: 4537
Views: 2013569

Re: Paradise Trinity Day

Fascinating adjusted posting time (I posted at 1:07 local time and never remember the adjustment for site posting). As with most prompts, this was probably a friendly "Hello" ... especially considering that the geometry is not finished (the Proofe needs more work to identify the true "...
by Amigoo
Thu Mar 10, 2011 7:07 am
Forum: Current Events
Topic: Paradise Trinity Day
Replies: 4537
Views: 2013569

Re: Paradise Trinity Day

A gentle touch of tessellation promotes stunning simplicity ... Today's online design is a proposal of Proofe: The circle is squared when ... - the sides of two facing right triangles equal the length of one side of the circle's square. - the shared hypotenuse of the two triangles equals the diamete...
by Amigoo
Tue Mar 08, 2011 5:11 am
Forum: Current Events
Topic: Paradise Trinity Day
Replies: 4537
Views: 2013569

Re: Paradise Trinity Day

First creative concept: "Tessellation of Creation" With powerfully contrasting symbolism, this refers not to the bright star that is so noticeable, but to the universe foundation (symbolized as the hexagon) of material existence: our spiritual universe. The star shape and its brilliance sy...
by Amigoo
Tue Mar 08, 2011 12:53 am
Forum: Current Events
Topic: Paradise Trinity Day
Replies: 4537
Views: 2013569

Re: Paradise Trinity Day

Also ... The 6-pointed star in the design is not composed of two triangles, common components of a "Star of David" - it is a hexagon with 6 equilateral triangles for star points. The following information hints that this 6-pointed star may be known by another name some day which would refe...
by Amigoo
Mon Mar 07, 2011 11:36 pm
Forum: Current Events
Topic: Paradise Trinity Day
Replies: 4537
Views: 2013569

Re: Paradise Trinity Day

Lucky, Thanks for the reminder about the "Star of David"! As geometry (a hexagon with 6 equilateral triangles), this star still seems to be a foundational component ... so I included it once more in the design. However, whether or not it it qualifies as a religious symbol is best left to t...
by Amigoo
Sat Mar 05, 2011 10:11 pm
Forum: Current Events
Topic: Paradise Trinity Day
Replies: 4537
Views: 2013569

Re: Paradise Trinity Day

The "T" image was replaced by one which includes the probable "7"pattern from the "x:07" prompts: http://www.aitnaru.org/homepage/freewill.html "O" is the primary circle "o" is a dark blue circle "7" is the right half of the large triangle ...
by Amigoo
Sat Mar 05, 2011 2:55 am
Forum: Current Events
Topic: Paradise Trinity Day
Replies: 4537
Views: 2013569

Re: Paradise Trinity Day

I tried to put the creativity crayons away, but they kept rolling back under my hand ... I was puzzled why the Midwayers' "T" prompt did not seem to have any particular relationship to the geometry. I kept sensing that this NTTA orange/black logo was a "prompt" as I drove under i...
by Amigoo
Wed Mar 02, 2011 5:07 pm
Forum: Current Events
Topic: Paradise Trinity Day
Replies: 4537
Views: 2013569

Re: Paradise Trinity Day

Continuing geometry exploration has produced little progress and the purpose of the "07" pattern is becoming mysterious - it may be just a prompt and not a pattern within the geometry. But this may be the important plateau: this current design ( http://www.aitnaru.org/homepage/freewill.htm...
by Amigoo
Mon Feb 28, 2011 4:44 am
Forum: Current Events
Topic: Paradise Trinity Day
Replies: 4537
Views: 2013569

Re: Paradise Trinity Day

Sandy,

I have taken a photo of the plant with its tiny white shoot appearing at the base. I'll send this and current information about the geometry project (the recent images and dimensions really help the analysis) if you'll provide an email address privately. This information can be shared.

Rod
by Amigoo
Sat Feb 26, 2011 1:55 am
Forum: Current Events
Topic: Paradise Trinity Day
Replies: 4537
Views: 2013569

Re: Paradise Trinity Day

Re: http://www.aitnaru.org/homepage/treeoflife.html About two years ago (March, 2009) this young plant (now planted in soil, 4" tall and still with only two leaves) sprouted from the bulb at its base. The leaves are no longer solid green and are less vibrant, but apparently they still provide s...
by Amigoo
Fri Feb 25, 2011 7:55 pm
Forum: Current Events
Topic: Paradise Trinity Day
Replies: 4537
Views: 2013569

Re: Paradise Trinity Day

Another interesting (and related) type of prompt: http://www.ntta.org/ I sensed a prompt at various times last Fall when passing under these North Texas Tollway logos (orange circle with a black T). I understood the prompt to be related to the geometry exploration, but I never found a significant re...