A (Possibly) New Discovery

[Marvin Haines]

I've spent a lot of time playing around with geometry in paint and graphing programs, and I think I've just discovered something interesting.

The image below is a drawing that I created, showing how a 3-4-5 triangle can be formed from a square. The 3-4-5 triangle is the most famous Pythagorean triangle and is used frequently in Masonic architecture, regalia, etc., as it is a perfect illustration of Euclid's 47th Proposition - the theorem of the Master Mason. I learned from reading The Secret Work of an Age that every Masonic Floor is made in the shape of an Oblong Square (Thanks, Kate), the result of two 3-4-5 tringles placed together to form a rectangle.

There's more coming, so after you look at the image, please scroll on!

 

Notice that the triangle is formed by connecting three of the angles to the center of an adjacent side. To take this a step further, we can connect all the angles to their adjacent sides - creating the next image:

It must be noted that the central eight-pointed, interlocking star is a symbol known as the Seal of Melchizedek. Many of you probably know that Melchizedek was the 13th Tribe of Israel and the location of the Tabernacle. More recently, (and this is in boldface for a reason) the LDS, or Mormon Church has adopted this symbol, along with the term Melchizedek Priesthood.

Now here's the amazing discovery hinted at earlier. This is what we get when we superimpose the Square and Compasses onto the above image!! It's a perfect match! 

In addition, the Mormon Temple in San Diego, California has this symbol worked into its architecture many times - most notably in the central skylight.

Interestingly, this is the 47th Temple built by the Mormon Church!!!!!

Edited May 26 by Marvin Haines

[Light-of-Truth]

2 minutes ago, Marvin Haines said:

The image below is a drawing that I created, showing how a 3:4:5 triangle can be formed from a square.

Marvin, I really would love to see this using precise measurements in Photoshop or Illustrator. Or a drafting software, whatever.

I can animate this image in my mind, rotating:

By extending the legs of the 3,4,5 triangle, it can fit into squares with varying degrees of angle and lengths of legs and and I imagine in a circle much more defined.

My mind is swimming, what is the best most perfect placement that might have been known hundreds of years ago?

[Marvin Haines]

My mind is swimming, too! I literally just discovered this!

Family is calling me to dinner. Will think about it while I eat and possibly do more research after!

[Light-of-Truth]

The 3,4,5 triangle is cool. It is half of the 4 x 3 rectangle.

It might be important that I explain when I said I can see the animation of the triangle in the square, the size of the square changes with the position of the triangle. Being a right angle, at some point will be sitting closest to the corner in the smallest of the squares it fits into. If I am right. LOL

🙂

 

 

 

[Light-of-Truth]

This is what you found, right?

https://gogeometry.com/school-college/3/p1278-square-3-4-5-right-triangle-tutoring.htm

Pretty good find! Maybe not the first, but awesome for certain! To stumble on it is very impressive!

 

 

[Light-of-Truth]

This is the smallest square? What is the length of the sides? 🙂

[Kate]

🧐 Little confused here by this thread, Rob. I think Marvin’s perhaps saying that he saw it in my ebook (which he’s just finished) and that led him to think of the further implications of extending lines and the similarity to the Mormon Temple.

I highly recommend visiting the work of R Knott - link in my book.

There are tons of interesting things explored around the 345 triangle that can spark realisations - including why certain numbers were encoded by Bacon and his friends. 
 

It’d be interesting to draw the footprint of that Temple and see more about it - such as if it would fold to a solid shape?

Edited May 26 by Kate

[Light-of-Truth]

3 hours ago, Kate said:

🧐 Little confused here by this thread, Rob. I think Marvin’s perhaps saying that he saw it in my ebook (which he’s just finished) and that led him to think of the further implications of extending lines and the similarity to the Mormon Temple.

I believe you are correct. I may have been confused! 🙂

 

[Marvin Haines]

Yes, Kate, you are correct! I was about to tell Rob exactly what you said when I saw your post.