BASE TWELVE MATH SOLVES PROBLEMS IN BOTH PHYSICS AND MATHEMATICS, STARTING WITH THE CIRCLE AND PI

It has now been 18 months since I made this video, (writing this July 22) and I have since written a book in which I describe in more detail the geometric structure I am introducing in this video. The book is called Understanding Base-12 Math: How to Draw the Perfect Circle using Dozenal Geometry, and is available through Amazon. Here is the link for the book: https://www.amazon.ca/Understanding-B... In this video I am introducing the viewer to the geometry of Base Twelve Mathematics as it is practiced on the Base Twelve (or Dozenal) Cartesian plane. I present the difference between base-10 and base-12 mathematics - the size of the decimal place is different - and then I go on to prove that this difference is significant by presenting a diagram which does not exist anywhere within the canon of base ten mathematics. The geometric pattern which I introduce enables us to divide the circle perfectly into 360 equal sections, where all the points on the circumference of the circle are the same distance from the centre of the circle and also spaced equidistant from their neighbours on either side. This is a diagram which does not currently exist anywhere within what could be called mainstream mathematics. I also prepare the viewer for the math they encounter when engaging with this diagram, as we need to fully commit to base twelve mathematics in the construction of the diagram. I introduce the viewer to the numbers dec and el, and I give examples of simple base twelve arithmetic. I present the viewer to a "new" type of dodecagon, go over its size and proportions, and illustrate its relationship to the familiar geometric patterns of √2 and √3, and the special right triangle. I then explain in detail the steps which need to be taken in order to create the diagram. I present many tables containing lists of the various components of the diagram. The radius' and diameters of the various circles, and the formulas for calculating the angles within the circles. Eventually the viewer will realize that the diagram is quite simple to construct, and yet the potentials that it exist within its geometric structure are far reaching and quite profound. In the beginning of the video I frame the overall presentation and the information contained within as a big win for the physics community, as I believe this is the mathematics which will open doors to better understanding the nature of the world we live in, as well as the larger Universe itself inside of which we exist. I believe that if we wish to mathematically tie together the quantum world to our own physical world, and then ultimately to Cosmology and the workings of the larger Universe, then we must undertake a thorough examination of what base-12 mathematics has to offer. I believe that no such endeavour has yet been undertaken. It is my intent with this video to introduce the viewer to base-12 mathematics, and then inspire the viewer to undertake further explorations of this geometry on their own. I believe many of the answers we are looking for will be revealed within the structures contained within dozenal mathematics and dozenal geometry. There is a base twelve, or dozenal, version of Pi which emerges from this geometry, and in this video I set the stage for future explorations of this geometric structure as well. (If you buy my book, you will see more clearly where these explorations lead) The construction of the diagram literally involves the division of the diameter of the circle into its circumference. Therefore, revisiting this most famous and important mathematical concept is absolutely essential, and revealing! In the video I also introduce the viewer to something new - a Unit of Circumference - and the existence of this geometric configuration gives structure to the circumference of the circle in a way that has never existed before. This geometric structure holds much promise in terms of solving some problems which are currently plaguing physics, such as the concept of infinity and the structure of dark matter. We are given an actual shape to a smallest particle - finally putting to rest jokes about "turtles all the way down". In future videos we may also be exploring the answer to the question - did someone already know about base-12 in our past? It seems this may be so, since we did inherit the concept of 360 degrees from someone, but the true inspiration for such an idea - and the process to actually complete the task - were lost until now! Is it a conspiracy that this information is not available to us, or was it simply lost in history, only now to be revealed by myself after many years of exploring this subject deeply and being fortunate enough to have discovered the truth - that dozenal math is the mathematics of the Universe itself!