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TheCircleMadeEverything - TCME
เข้าร่วมเมื่อ 29 ก.ค. 2006
Geometry, Algebra and some theory. I made a separate channel for sacred Geometry: TheCircleMadeEverything
Phi, The Fibonacci Spiral, Golden Rectangle, Pentagons, Vesica Piscis & a Golden Quadratic
6/21Doing construction I also realize now that to construct a heptagon or Septagon (7 sides) you would use phi over 2 (see my heptagon construction vide). Because you make the egg of life (vesica Pisces) and use half of the distance of phi. This will make 7 congruent sides and a heptagon.
th-cam.com/video/k8Fu9F2Yoa0/w-d-xo.html
The proportions of the golden ratio - Phi (pronounced fye) are the proportions used in the fibonacci spiral, the golden rectangle, a pentagon, and are even in the perpendicular bisector (the Vesica Pisces it can be called - contenting the roots 1-5).
We use the proportions of phi to build things with efficiency, strength, and balanced proportions that are useful and appealing to the eye.
We explore the places we see Phi, including a special polynomial - the quadrilateral X^2-X-1 contains the roots or solutions of phi and the negative inverse of phi -
Incidentally, the "Jesus Fish" is made by the Vesica Pisces. Which is a perpendicular bisector containing the ratio Phi
Related Videos
Playlist: Phi and the Golden Ratio: th-cam.com/play/PLS_eejaHqKbC_8W5TB7x4ImnlIxa63wfh.html
Sacred Geometry Playlist: th-cam.com/play/PLS_eejaHqKbAIiDylxgXTQKabLT8t7422.html
The Magic of the Vesica Pisces - The Special numbers, angles, and Phi (the golden ratio)
th-cam.com/video/jE8Je6zoUYU/w-d-xo.html
Pentagons In Nature - Containing the Golden Ratio (Phi) and more.
th-cam.com/video/U399fU_DuHg/w-d-xo.html
The Spiral - Symbol for Nurturing Balance (Fibonacci spiral &leadership, efficiency and momentum): th-cam.com/video/OkXqKgpmATs/w-d-xo.html
Pentagons In Nature - Containing the Golden Ratio (Phi) and more!
th-cam.com/video/U399fU_DuHg/w-d-xo.html
The Seed of Life - Giving Life to Geometry and Design
th-cam.com/video/ePOgjJV9fxc/w-d-xo.html
th-cam.com/video/k8Fu9F2Yoa0/w-d-xo.html
The proportions of the golden ratio - Phi (pronounced fye) are the proportions used in the fibonacci spiral, the golden rectangle, a pentagon, and are even in the perpendicular bisector (the Vesica Pisces it can be called - contenting the roots 1-5).
We use the proportions of phi to build things with efficiency, strength, and balanced proportions that are useful and appealing to the eye.
We explore the places we see Phi, including a special polynomial - the quadrilateral X^2-X-1 contains the roots or solutions of phi and the negative inverse of phi -
Incidentally, the "Jesus Fish" is made by the Vesica Pisces. Which is a perpendicular bisector containing the ratio Phi
Related Videos
Playlist: Phi and the Golden Ratio: th-cam.com/play/PLS_eejaHqKbC_8W5TB7x4ImnlIxa63wfh.html
Sacred Geometry Playlist: th-cam.com/play/PLS_eejaHqKbAIiDylxgXTQKabLT8t7422.html
The Magic of the Vesica Pisces - The Special numbers, angles, and Phi (the golden ratio)
th-cam.com/video/jE8Je6zoUYU/w-d-xo.html
Pentagons In Nature - Containing the Golden Ratio (Phi) and more.
th-cam.com/video/U399fU_DuHg/w-d-xo.html
The Spiral - Symbol for Nurturing Balance (Fibonacci spiral &leadership, efficiency and momentum): th-cam.com/video/OkXqKgpmATs/w-d-xo.html
Pentagons In Nature - Containing the Golden Ratio (Phi) and more!
th-cam.com/video/U399fU_DuHg/w-d-xo.html
The Seed of Life - Giving Life to Geometry and Design
th-cam.com/video/ePOgjJV9fxc/w-d-xo.html
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Thank you. I was looking on how to make a piece of wood into a clock base, and this was perfect and a lot easier than I suspected.👍🕐
Well, I'm really happy to hear that. I'd love to see a picture of the clock! Good luck
This is amazingly explained 👌🎀 totally amazing 🤩
Thank you! Glad you enjoyed.
1 x 1 != 2
39 inertia engine booster
Numbers
√2 = a, a^3 = a*2 because a*a*a = 2 * a
You should have made the speech at Oxford instead.
Lol
That doesn't sound like it's mimicking a dog. I think it's something else.
I think the confusion is with the units. 3m x 3m ≠ 9m 🚫 3m x 3m = 9m² ✅ Numbers can't be crossed. Only distances can be crossed.
@@DegreesOfThree you're right. when we do math with no units it's not an issue. Nobody is saying one dollar times one dollar. Or two dollars times two dollars. Just two dollars times two.
@@thecirclemadeit So you agree that 🍎²≠🍎? It's illogical to multiply objects or concepts, yet somehow 1²=1 🤷 If we're crossing two perpendicular distances to create an area, then the units MUST be specified. If we're just making copies of things, then we should avoid exponents and the term 'squared' and instead write: ✅1x(🍎)=1🍎 ✅1x(concept of 1)= 1 concept of 1 ✅3x(concept of 3)= 3 concepts of 3 The number before the 'x' represents how many copies are being requested, but numbers can't really be 'combined' without units. 🤷
@@DegreesOfThree If apples is a unit of measurement.... yes. Two apples squared would be two rows of two apples and form an area on the floor. It's a conceptual stretch - but you can make 2 apples cubes and it would be a length width and height of two apples. They wouldn't really be "squared" in measurement. But it would still work in real life. We can take three apples and square it and get 9 apples. We can like it up in three rows and columns and call it 3 apples squared (meaning each side is three apples long and it makes a square) "It was just a metaphor" is Terrance Howard's latest comment. He didn't mean it literally. Math is not broken. But you're correct that we are dealing with distances. And yet we also deal with concepts. We have x to the fourth power and can't even draw it. We can't envision the fourth dimension.
@@thecirclemadeit You could square the linear diameter of an apple to create an area with units² or you could cube the diameter to get a cubic volume larger than the original apple. But I don't think it's logical to 'square' 3D objects, which are already described by volumetric units³. Dimensions beyond the third can't be envisioned, because it's like an expansion or contraction of the units and space simultaneously, which would be imperceptible to us. When you're talking about laying apples out in a grid pattern, you're really just talking about addition of objects, but if you 'squared' the volume of a physical apple, the end result should be in units⁶, which is basically nonsensical, right?
@@thecirclemadeit If an apple is about 5cm³ in volume, then: 🍎x🍎=25cm⁶ 🤔🤦
I think Terrence is confused about units. 1⬆️+1⬆️=2⬆️⬆️ units of distance 📏 (same axis) 1⬆️x1➡️=1↗️ unit of area ◼️ (perpendicular axes)
Maybe it looks magical because it is math and some people don't understand it =)
Most basic general formula witch solves this equation is: ((√(A))^3)/A = ((√A)^2 * √A)/ A = (A*√A)/A = √A If A= 2, we all know the result.. √2
So, the "loop" definition is in others words a exponential arithmetics visualization...
But yet our basic math and our understanding of math cannot even comprehend the building of the pyramids. Something along the way change math differently from what the Sumerians knew
@@brandonmarzano8862 we worked out the pyramids. They were cast limestone using a recipe we only just discovered. Using lime shell midden dug from the Nile shore. Google geopolymer institute
Doesn’t work for MiniClip 8 Ball Pool. Their games are rigged in the code.
Say the sqrt(2) = a, why does a*2 = a+a = a^3 ? This doesn’t happen with any other number? It seems your example states it can happen with any number? Can you please provide another number example where this happens or explain what im misunderstanding?
Just because it doesn't happen with other hinders doesn't make it special. It works with two - 2+2=2*2. It does not work with root two. Root 2 squared does not equal two root two. And a^2=a+a for two and zero. Root two squared is not the same as root two plus root two. Root two square is two. What you may mean is what Terrence said a^2=(a^3)/2 And if a is root two you can replace two with a^2 a^2=(a^3)/(a^2) They're the same because the bottom a factors out. If you want to say a^2=a+a the only solution is two. Not root two. If you make an equation a^2=a+a collect like terms a^2=2a move over the 2a a^2-2a=0 factor a(a-2)=0 a=0 and a=2 0^2 = 0+0 and 2^2 = 2+2 What he was stating was if a= root two a= (a^3)/2 So he's really just saying a=(a^3)/(a^2) when reduced a=a He presents it as a^2=(a^3)/2 Square a number and it's equal to the cube divided by two. We can also find a number so when we go to the fourth power, it equals to the third power over 3 a^4 = (a^3)/3 multiply both sides by three 3a^4 =a^3 move over the right side to the left 3a^4 -a^3=0 factor a^3(3a-1)=0 a^3=0 and 3a-1=0 a=0 and a=1/3 You can take 1/3 to the fourth power and it equals a to the third power divided by 3 (1/3)^4 =((1/3)^3)/3 ((1/3)^3)/3= (1/3)^3)*(1/3) (1/3)^4=(1/3)^4 Sometimes in math you have one solution, two solutions, many solutions or Infinite solutions. So what does Terrence say this "trick" means? It's just a solution If he's saying conventional math is flawed, how can you use conventional math to prove Terrence math anyway, I suppose. Pythagoras had interesting ideas on one and two. Iamblichus wrote about what little we know of Pythagoras. The Theology of Arithmetic. I would actually recommend "A Beginner's Guide to Building the Universe". Each chapter goes over the first 10 numbers and what they believed in ancient times and the symbolism and properties they hold. Here is some stuff from Pythagoras on one and two limitless/Even - like air or vapor - Limit/Odd - The form of things - Masculine is odd - Feminine is even - Evens are all multiples of two. Of the mother and all numbers are of a two and multiple of 2 All odds are unique. But with the mother 2, they make more numbered that are odd and even. 1,3,4,5,7 2,4,6,8,10 Every other number is an odd or an odd times and even. Or even times and even. 2x2 =4 2x4=8 2x8= 16 2x16 = 32 And the numbers in between 2X3=6 2x5=10 2x7=14 2x9=18 The other ones are male 3,5,7,9,11,13,15,17,19,21 The odds, evens all work together. But most numbers are multiples of 2 and an even or 2 and an odd. So the 2 gives life. Visually you can see that the rectangle or odd always has a square you can make of it or it’s made of. 2/3 of its shape. Always odds even in evens It’s always 1, but that wasn’t considered a number. Then 2 Everything is adding or multiple of those two Things are limited or limitless or both limited and limitless limitless once limited gives you a point. Then twice limited gives you a line. Three times limited gives a triangle
0x1 = 0 one times 0x4 = 0+0+0+0 or zero. 3x3 = 3+3+3 or nine 1x0 = 1 zero times/meaning no times. 1 no time is nothing. 3x7 = 7 three times or 7+7+7
Did you know that if you write out 'Twenty two divided by seven' it add up to 314 in standard numerology (a=1, b=2, z=26). 314 like the first 3 digits op Pi. And if you divide 22 by 7 it results in 3.14
Cool. I wish I could read ancient languages and see how different it is to have numbers with every letter. Sometimes for fun I would reduce things the way you did. Imagine if the words also were symbols and how much more meaning is hidden. I've seen an autistic student counting and reducing digits. It makes you wonder just what we are missing since we changed. I know Hebrew, Arabic and I believe the Greek and Egyptian languages all had numbers represented with letters.
thank you for clearing that up .. but the sound level is sooooo low ? love the row and column example
If you have one line - there is no row and column. It's no intersection or zero. Zero times a rock is zero because it means a rock, no times. Sorry about the sound. I tried to increase it. I'll be sure to double check in future videos
Thanks @robertveith6383 for catching the equal sign error. I'm prone to errors but do my best.
As you’ve said. It’s done instinctively. But I got curious and wanted to see the math behind it and you’ve explained it perfectly. Thank you 🫶
It's crazy what some people can do with practice and natural talent.
Ihad the answer to this at age 10 .i learned it playing with my spirograph game i need that game back in my life perfect fflowers of life all the plutonic solids alot of us became aware of the spirit in us and how to leave our avatar shells and fly we were starting to become clairvoyant. We Saw through the matrix and could control our destiny. But alot of us lost our way .was tempted by greed .now our minds are in recovey mode starting to remember bits and pieces ..sure wish i had my old spirograph game by parker brothers❤🎉
This is great man! I am gonna use this as my guide for my project. Thank you
Glad it was helpful!
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Yes laNd lady
Thanks for your amazing explaination. ❤❤
'Promo sm' 🎉
thanks for sharing
My pleasure
i'm a high school student and even thought i will probably never use this video, it showed me that math is actually fun to learn, so thank you
Great!
Interactively, people may both help balance and unbalance one another. Differential balance and unbalance in each phrase. Mapping both stable points and dynamic loops is wholesome. Mapping both in oneself and in others is wholesomelier: a relative ship becomes noticeable. I dare say: when falling, we are still ourselves. Still able to reason: both thinly and grossly. Gravity keeps things together (literally). Yet pre-assure may heat&eat what it touches. So accounting degrees relative to memorial setpoints does help. Fiction also does. Here's a refinement: "to 'not do' is to map avoid-dance" & " 'to do' is map proximity". Proximity is relative. Dancing has both evading and pursuing. Distinctions may be furthered in both cases. Such's why "gross and thin" zooms. Scales in mutual communication: "Daily self" & "Monthly self" & "Yearly self" is quite the achievement. Other may mediate, such as "Weeklong self" sharing (some)days and (one)month. Similar to relationships: "Humanitarian values" & "Netizen values" & "Citizen values". With "thematic council" dialoguing networks and citywideness. In more privacy: "Marriage values" & "Dwelling values" & "Newborn values". Alongside "parent-child" dialogue between each's "personal values". My "point", overall, is that (psychic logic, operationalized math &) linear algebra helps. Balance of forth between threes, or fifth between fours, etc. As well as intermediaries: each trio has "three sets of one" and "three sets of two" to be a "single full set of three" (7 itens); while a "full set of four" has "six dialogues" and "four trialogues" and "four monologues" (15 itens); such exponentiality [(2^n)-1] is why usually we keep talks in small numbers xD Sanity checks. For grander purposes we create artistically. Such as this comment.
Very deep and insightful. Do you ever write posts or have anywhere where you share your ideas?
what's the update ??
It's an update to an older video - one of the first I published - I re recorded myself explaining and I'm hoping it's a bit more clear (since I understand it a bit better myself). There were some who didn't understand a few points in the prior video. But sadly, no big update with regard to the vp
Thank you! Your explanation and presentation was one of the best I've viewed. Happy New Year!
Thank you. I try my best. It's fascinating to share and learn
🐇✨️
777
🚬😎 how cool bro.. if only someone had of shown me this as a kid .. “we see the pattern in nature” . happy new year from Australia 🤠
Me too! Happy new year. I'm in California but have family in Melbourne. 🌟
Reminds me of a lotus flower 🪷
Kind of irrelevant to this video, but even the compass has symbolic meaning. Bringing the two ends of the compass together is the singularity. Separating them apart is duality.
This is ridiculous. These videos are fantastic. Thank you!!!
Very good. At first I thought I found a mistake but as my wife will tell you, I was wrong again. Thanks for the video.
Some improvements... extend the centre horizontal line to the far sides of both circles, it then has length 3 which is sqrt 9! Pythagoras gives you sqrt 10 by drawing a line from one end of the root 9 line to the top or bottom of the furthest vertical diagonal of the circles (giving total of 4 lines of length root 10). Draw a circle around the centre of the vesica piscis that passes through the centre of both larger circles (ie radius = 0.5). The diagonal of the 2 x 1 rectangle is then, with the circle, the exact representation of the Greek letter Phi. The section of the line from a corner of the rectangle to the closest point of the small circle is = 1/Phi or 0.618334.... while the section to the farthest point of the circle = Phi (1.618334...) Curious that the geometric figure that shows Phi/phi is the same as the Greek letter the irrational number is named after. Using just the 3 circles and the horizontal line, and lines at right angles to it, you can draw lines of length root1,2,3,4,5,6,7,8,9 and 10. Using each line as an additional measure all whole numbered roots can be created in similar fashion by adding two lines at right angles to the other. The hypotenuse has length of the square root of the value of the squares of the line lengths. ( Root 7 = root 4 + root 3 at right angles making a Pythagorean triangle. Alternatively you can create all roots by just using the two vertical diagonals extended to infinite and a compass to mark on alternate lines the lengths of root 2, root 3, root 4, root 5, etc by swapping the compass point over to the alternate circle centres as you extend the compass width to each new line that passes across the two vertical lines. A very beautiful pattern is created when you draw each line that are framed by the two circle diameter extended lines as: in ancientgeometry4moderntimes.files.wordpress.com/2023/12/roots-1-10.jpg
Wait, think about if you add ANOTHER circle!!
can u imagine .. visca pishis existed since millions years -a monkey 45k years ago started questions -200 years agi men discovers virtues of vescica adds golden ratio and other cabalistic useless stuff invented by his mind or discovered by maths - and the world life universe existed ignoring that 😎😂 and .. will continue to exist when we will be forgotten by eons
Another proof that I was born charmed - as a piscean.
amazing, thanks for sharing!!!🥰
You don't just draw 2 circles you construct one then strike the other off the circum. With the same radii so the circumference of 2 passes through center of one which is Euclid's construction of an equilateral triangle.
How the Egyptians built the pyramids.
This is great. An excellent lesson of how everything builds off of first principles
This is a more complicated example of the magic of the Vesica Pisces. The simple beauty of is that you can create all the basic numbered /polygonal geometric shapes from 1-10 simply by connecting its overlapping curves using a pencil and a straightedge. Trangle, Square, Pentagon, Hexagon, etc., etc... Each shapes represents another step in the building blocks of Nature. One anomaly is the number 7 which is also why 7 has always been viewed with mystique and as having a supernatural & superstitious quality. Seven Heptagon cannot be created evenly into a 360-degree circle. The closest you can get is an infinite fraction 51.42857..., a relationship with 7 that even the Ancient Greeks were aware of when naming & building the Parthenon of the Goddess Athena's who's number is 7. Seven, 51.5 angles are a huge part of the structure. Even her name and titles add up to incorporate multiples or divisions of 7 in alphanumeric Greek language.
So, basically, the vesics pisces is an an analog computer to calculate the square roots of 1 to 5!? Wow!
Not to say it was left out of this video or should have been included - because it doesn't necessarily fall within the scope of what's being demonstrated here, as far as I can tell - but there is a simpler and more readily apparent derivation of Phi within the basic construct of the vesica pisces which wasn't shown here. Inside the "egg" at the center, take the vertical line (explained here as sqrt 3) as "A", and take a horizontal line which terminates at the sides of the egg as "B". A / B = Phi or... A+B / A = Phi 🤓👍
7:30 what
Ah, yes. Venn diagrams. Well, you've got your dog's ass, and you've got your sunshine. And there I am in the middle, with the overlap of the dog's ass and the sunshine. Thank you for pointing that out.