MathRevolution

In this video I am continuing my exploration of Base Twelve Geometry and the geometry of the circle from a Base Twelve perspective. I go over some of the topics I have covered in previous videos, and I am introducing the viewer to what will be coming next, which is a journey to the edge of the Universe while riding a point on the circumference of the circle.

Part Thirty Two - in a series of videos introducing the idea of Base Twelve Mathematics and Base Twelve Geometry, and how they can be used to generate the diagram for 360 Degrees - a diagram which does not exist within Base Ten Mathematics or Geometry. In this video we are now on the outermost ring of the diagram - the 30th ring, and I am quickly going over the Mathematical details and structure of this ring. In the process of creating this diagram I have introduced the viewer to a new geometric pattern - a type of Dodecagon which only has relevance in base Twelve, and we have been using the geometry of this Dodecagon as a base upon which to build the 360 degree diagram. The structure of this diagram is such that we have created a pattern which can now be built upon, and we can continue to grow the circle, adding more and more points onto the circumference of the circle, all perfectly balanced and symmetrical with each other. It is like we are building the circle from the inside out, instead of the usual way of starting outside and dividing inwards. In future videos we will explore this idea more as we go deeper into the geometry of the Base Twelve version of Pi.

Part Thirty One - in a series of videos where I am introducing the geometry of the circle from a Base Twelve Geometry perspective. In previous videos I have gone over how to use the geometry of The Dodecagon (a Base Twelve Geometric pattern) to create the pattern for 360 Degrees, and now in this video I am performing the relatively simple long division equation that lies at the heart of this geometric pattern. Is this Pi? This number is intimately connected with the geometry that has been explored in previous videos, which has successfully divided the circle into 360 equal parts - something that doesn't exist in the same way in base ten. Yet if this IS Pi, then this version has distinctly different qualities than the version we are familiar with. And so the question arises - which is the correct version? If this Base Twelve Geometrically based number derived from dividing the diameter of a circle into its circumference isn't Pi, then what is it?

Part Thirty - in a series of videos about the connection of 360 Degrees to Base Twelve Geometry. Although we are all familiar with 360 Degrees, there is little or no awareness within the Math Community as to how to actually create this diagram using geometry. I have shown in the previous videos that the answer to this question lies within the realms of Base Twelve Geometry. Within the process of creating this diagram is the actual process of dividing the diameter of the circle into it's circumference in ever widening rings, generating specific points on the circumference of the circle until reaching the 30th ring, where all 360 degree points reside. This geometric pattern is supported by another pattern: a type of Dodecagon that appears only within Base Twelve Geometry. In this video I go over the calculation that resides at the heart of this pattern, which gives us the ability to calculate the circumference of the circle a priori. It would seem reasonable to believe that an equation that is derived from dividing the circumference of a circle by its diameter would in fact be Pi, and so for this reason I am calling this number generated from this equation, the Base Twelve version of Pi.

Part Twenty Nine - in a series of videos where I am explaining how to construct the diagram for 360 Degrees. Although we are all familiar with the idea of 360 degrees, and use it all the time in both Mathematics specifically and our language generally, it is not common knowledge that there is actually no geometric pattern for creating this diagram in base ten. Well, in these videos I have been showing that this diagram does indeed exist, but in Base Twelve, and in this video I am going over the details of the 15th ring of the diagram - the halfway point of the total construction, though we are now near the end of this particular series of videos.

Part Twenty Eight - in a series of videos where I have been sharing the steps one needs to take in order to create the diagram that generates all 360 Degrees - using Base Twelve Geometry to do so. In this video I am going over the generation of the new degree lines in the 11th and 13th rings of the diagram, as these lines have not been generated previously. I feel that if the viewer has been watching all the videos up to this point, the steps will be self evident, and yet in the name of rigour I am going over the steps regardless, doing so with an element of humour to alleviate what might be by this point a rather tedious set of instructions.

Part Twenty Seven - in a series where I am sharing the process of dividing the circle into 360 degrees using Base Twelve Geometry. In this video I am simply going over some of the details of the outer rings - listing the coordinate points of each circle as the diagram grows outwards. All this to reinforce the fact that this diagram holds together, it has a structure, it works. It is a diagram with 30 rings in total, the final ring generating 720 specific points on the circumference of the circle, with equal space between them all. In some ways this diagram could be called a number line for the circle, and it exists only within the realm of Base Twelve Geometry.

Part Twenty five - in a series of videos where I am sharing a new way of looking at the generation of 360 Degrees. In this video I am going over one of the finer details of the diagram - the thickness of the degree lines and the line defining the circumference. By giving these lines a thickness we are able to spread the "extra space" that is a part of the equation when dividing circumference by diameter, throughout the circumference, in a way not possible in Base Ten. The Mathematics of the diagram is actually quite simple - it is only because it is in Base Twelve that it perhaps looks a bit confusing.

Part Twenty Four - in a series where I am describing how to actually create the geometry of 360 Degrees on top of a Base Twelve Cartesian Plane using specific lattice points. This is the geometry of the circle which has been missing from Base Ten Mathematics. Using this Base Twelve Geometry we can actually see the process of accurately dividing the diameter of the circle into its circumference. In this model we are able to evenly disperse the gap usually relegated to the end of a solid line throughout the circumference of the circle in a way that is not possible in base ten.

Part Twenty Six - in a series of videos where I have been explaining how to use Base Twelve Geometry to do something that isn't really possible in Base Ten - divide the circle perfectly into 360 degrees simply using geometry, that is, by simply drawing circles and connecting the points where they overlap we have been able to divide the circle into 360 equal sections. In this video I am going over some of the Mathematical details of the diagram, although ultimately it is simply a list of the coordinate points which define its dimensions. Overall the diagram is simple in its construction, and it is only the fact that it must be created using Base Twelve Geometry that makes it seem more challenging to comprehend than it actually is.

Part Twenty Three - in a series of videos where I am sharing the process of using Base Twelve Geometry to build the diagram for 360 Degrees. In this video I am progressing quickly through the 8th, 9th, and 10th rings, as we are now at a point where the steps from previous videos are simply being repeated. I am wanting to be thorough in my presentation by presenting all the various coordinates, and if you are just coming into this series new, I would suggest watching some of the previous videos in order to familiarize yourself as to what it is I am talking about. This is new information, as this diagram does not actually exist in Base Ten Math, and it raises the question as to how exactly the original creators of 360 degrees first constructed the diagram themselves.

Part Twenty Two - in a series of videos where I am introducing new geometric patterns and concepts from the arena of Base Twelve Geometry, and showing how it is only from within the framework of Base Twelve Geometry that the geometry of 360 Degrees is accessible. What I mean by that is that there is no geometry in base ten that actually generates 360 perfectly spaced individual points along the circumference of a circle - unlike this diagram, which does exactly that. In this video we look at the creation of the seventh ring of the diagram.

Part Twenty One - in a series of videos where I am sharing the process of creating the diagram for 360 degrees. In this video we are looking at the creation of the sixth ring of the diagram, going over its characteristics and dimensions.

Part Twenty - in a series of videos where I am sharing the process of creating the diagram for 360 using Base Twelve Geometry. There is no such diagram in base ten. In this video we are looking at the fifth ring of the diagram, going over the steps to create it, and examining the mathematics within its structure.

Part Nineteen - in a series of videos where I am explaining how to construct the diagram that generates 360 Degrees. In this video we are progressing to the fourth ring of the diagram, and I am going over all the steps necessary to do so, as well as looking at all the information generated and contained within the various lines, circles, and angles.

Part Eighteen - in a series of videos where I am explaining how to create the diagram for 360 Degrees using Base Twelve Geometry. In this video I explain the important step of how to find the midpoint between any two points already established on the circumference of the circle. This will be a procedure which we will be using many times as we progress in the creation of the diagram.

Part Seventeen - in a series of videos where I am introducing the procedure for creating the diagram that divides the circle perfectly into 360 Degrees using Base Twelve Geometry. This is something which does not exist within Base Ten Math. In this video I am explaining the next steps in the process as we progress to the third ring of the diagram.

Part Sixteen - in a series of videos where I have introduced the viewer to a new geometric pattern in Base Twelve - a type of Dodecagon, and we are using it to create the diagram for 360 Degrees. In this video we are going over the Mathematical and Geometric details of the second ring of the diagram, and the overall diagram so far.

Part Fifteen - in a series of videos where we are using the geometry contained within The Base Twelve Dodecagon to support the diagram for 360 Degrees. In this video we move onto the second ring of the diagram and go over the steps needed to construct its precise geometry.

Part Fourteen - in a series of videos where I have introduced the viewer to a new geometric shape - a type of Dodecagon only accessible in Base Twelve, and we are using its geometry to construct the diagram for 360 Degrees. This is a diagram which does not currently exist within Base Ten Math. In this video we continue to go over the geometric details contained within the first ring of the diagram, laying the foundation for the rest to come.

Part Thirteen - in a series of videos where I am explaining how to create a diagram which does not exist in base ten. It is the diagram for 360 Degrees. To create this diagram one must use The Base Twelve geometric pattern of The Dodecagon, and this geometry is only accessible through Base Twelve Mathematics. In this video I am introducing the viewer to a large scale construction of the 360 degree diagram, and looking at some of the details within its design.

Part Twelve - in a series of videos where I have introduced the viewer to a new geometric shape - a Base Twelve Dodecagon, and we are using it to create the geometry that generates 360 degrees, all using Base Twelve Mathematics and Base Twelve Geometry. Although everyone is already familiar with the concept of 360 degrees, the structure of this diagram does not exist within Base Ten Mathematics.

Part Eleven - in a series of videos where I have introduced the viewer to The Base Twelve Dodecagon, and we are using it to support the diagram that generates the division of the circle into 360 degrees. In this video we continue to build the initial structure of the diagram which will be supporting the rest to come.

Part Ten - in a series of videos where I am introducing a new geometric pattern - a type of Dodecagon, that resides only in the Mathematics of Base Twelve Geometry. In this video we continue to learn how to use the structure of The Dodecagon to support the geometry for generating the division of the circle into 360 degrees. (this pattern does not exist within base ten mathematics, due to the differences of the Cartesian Plane between the bases)

Part Nine - in a series of videos where I am introducing a new geometric pattern - a type of Dodecagon, to the viewer, and we begin using it to perfectly divide the circle into 360 degrees. All using Base Twelve Mathematics. (this diagram is something which doesn't exist in base ten)