tag:blogger.com,1999:blog-24889287476818704572014-10-06T19:05:35.851-07:00MathinNatureGregg Shaffterhttp://www.blogger.com/profile/00423041077680853415noreply@blogger.comBlogger9125tag:blogger.com,1999:blog-2488928747681870457.post-31722461758256429612011-11-25T04:52:00.000-08:002011-11-25T04:52:39.496-08:00AIPTTT - Artificial Intelligence that Plays Tic-Tac-ToeIn my free time, I began programming this AI that could play Tic-Tac-Toe against another person. Here is the video.<br /><br /><div class="separator" style="clear: both; text-align: center;"><iframe allowFullScreen='true' webkitallowfullscreen='true' mozallowfullscreen='true' width='320' height='266' src='https://www.youtube.com/embed/LolprmV5Ohk?feature=player_embedded' FRAMEBORDER='0' /></div>Gregg Shaffterhttp://www.blogger.com/profile/00423041077680853415noreply@blogger.com0tag:blogger.com,1999:blog-2488928747681870457.post-53739525156553966972011-11-23T14:57:00.000-08:002011-11-24T03:28:44.198-08:00Phi and PiI have been working on Pi for some time, and I am finding very exciting discoveries that may be appealing to some people. Well, while working on this "irrational" number, I stumbled upon some new properties of the circle, which can be considered Pi since Pi is the fundamental number of this unique shape. Now, I found a big connection between Pi and Phi, which is also called the golden ratio, the golden mean, and the divine proportion. First, let me tell what each one is before I get to telling about me discoveries.<br /><br />So, what is Pi, you ask? Well, if you are in Geometry(which, I have to admit, is a very interesting subject), you might have been taught equations that are linked to Pi, such as 2πr, which helps you figure out the diameter of a circle. This helps in many cases, but I won't talk about that right now. Now, let me talk about Phi.<br /><br />Phi is considered to be one of the most mysterious numbers in the world as we know it. It was first discovered by the great Mathematician, Fibonacci, which is why it is called the Fibonacci sequence, which is the continuence of the numbers 1, 1, 2, 3, 5, 8, 13, ect. If you were to divide each number by another number within this sequence, biggest number on top, you would get a closer approximation to Phi, or the golden ratio. In turn, if you were to map out these numbers, you would get what would be called the golden rectangle, or the golden spiral. Now, on to talking about my discovery, which is in the below image:<br /><br /><div class="separator" style="clear: both; text-align: center;"><a href="http://4.bp.blogspot.com/-FMtH4i2XoGk/Ts1478DftHI/AAAAAAAAADs/K0qGGP0mR4o/s1600/Trihecwazoid.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="139" src="http://4.bp.blogspot.com/-FMtH4i2XoGk/Ts1478DftHI/AAAAAAAAADs/K0qGGP0mR4o/s320/Trihecwazoid.png" width="320" /></a></div><div class="separator" style="clear: both; text-align: center;"><br /></div><div align="left" class="separator" style="clear: both; text-align: center;">Now, in the Trihecwazoid, there are exactly 37 points. Now, since there are 8 points around the outside of this shape, you would divide 37 by 8, and you would get the decimal 4.625. Now, since there are 4 points surrounded this shape also, you would subtract 4.625 by 4, and you would get 0.625, now follow the process below:</div><div align="left" class="separator" style="clear: both; text-align: center;"><br /></div><div align="left" class="separator" style="clear: both; text-align: center;"><br /></div><div align="left" class="separator" style="clear: both; text-align: center;"><em>1 + 0.625 = 1.625</em></div><div align="left" class="separator" style="clear: both; text-align: center;"><br /></div><div align="left" class="separator" style="clear: both; text-align: center;"><em>1 / 1.625 = 0.61538461538461538461538461538462</em></div><div align="left" class="separator" style="clear: both; text-align: center;"><br /></div><div align="left" class="separator" style="clear: both; text-align: center;">Equation:</div><div align="left" class="separator" style="clear: both; text-align: center;"><br /></div><div align="left" class="separator" style="clear: both; text-align: center;"><em>1 + n = s</em></div><div align="left" class="separator" style="clear: both; text-align: center;"><br /></div><div align="left" class="separator" style="clear: both; text-align: center;"><em>1 / s</em></div><div align="left" class="separator" style="clear: both; text-align: center;"><br /></div><div align="left" class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: left;">You would do this until you get the number that is approximate to Phi, which is 1.618...</div><div class="separator" style="clear: both; text-align: left;"><br /></div><div class="separator" style="clear: both; text-align: left;">That is my discovery. I will continue my research.</div><span id="goog_2026908948"></span><span id="goog_2026908949"></span>Gregg Shaffterhttp://www.blogger.com/profile/00423041077680853415noreply@blogger.com0tag:blogger.com,1999:blog-2488928747681870457.post-27533302958525451532011-11-23T11:54:00.000-08:002011-11-23T12:05:42.879-08:00My Theory of 11.11.11Well, after some research in my free time, I randomly started looking up 11.11.11. Now, as many know this has thought to have been an important date of all time. Well, here is my theory. The thing is maybe these numbers have a meaning to them. I will try something.<br /><br />Let us seperate each 1 on its own. Now, add up all the ones.<br /><br />1+1+1+1+1+1 = 6<br /><br />Now, divide the ones, into 111 and 111. Multiply 6 by each 111, and you will get 666 and 666. Really creepy isn't it?. <br /><br />Now, here is another trick. Multiply 111,111 by itself over and over again. When you do so, you will get numbers that are "mirrored", such as 12345654321, or such and so on. Now, if you were to add up each digit of the number 12345654321, you would get 42. If I recall from the <u>The Hitchhiker's Guide to the Galaxy</u>,by Douglas Adams, the computer says that the meaning of life is 42(Don't worry, this is a science fiction series, it couldn't be real...or could it?)<br /><br /><div class="separator" style="clear: both; text-align: center;"><a href="http://www.glogster.com/media/1/4/15/13/4151326.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="259" src="http://www.glogster.com/media/1/4/15/13/4151326.jpg" width="320" /></a></div><a href="http://www.glogster.com/media/1/4/15/13/4151326.jpg">http://www.glogster.com/media/1/4/15/13/4151326.jpg</a><br /><br />Well, that is pretty much if what I have found so far. Hope others find more fasinating things with this number.Gregg Shaffterhttp://www.blogger.com/profile/00423041077680853415noreply@blogger.com1tag:blogger.com,1999:blog-2488928747681870457.post-20934567762699436582011-11-22T20:49:00.000-08:002011-11-22T20:49:13.821-08:00Fun Math - Using a circle in a square to make a fishAs a fun thing for people to do, I have an activity that people may like, and if not all well.<br /><br />Here are the instructions below: <br /><br /><div class="separator" style="clear: both; text-align: center;"><a href="http://2.bp.blogspot.com/-_m6klwADMLw/Tsx55kaQ0eI/AAAAAAAAADQ/iyeFhHmccj8/s1600/Image+11.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="162" src="http://2.bp.blogspot.com/-_m6klwADMLw/Tsx55kaQ0eI/AAAAAAAAADQ/iyeFhHmccj8/s320/Image+11.png" width="320" /></a></div><div class="separator" style="clear: both; text-align: center;">Well, all I can say now is ENJOY.</div>Gregg Shaffterhttp://www.blogger.com/profile/00423041077680853415noreply@blogger.com0tag:blogger.com,1999:blog-2488928747681870457.post-78766762692276665882011-11-22T19:43:00.000-08:002011-11-22T19:43:51.866-08:00Theory of Space-Time and PhysicsThis theory states that an object's point is located at the rim in which it bends the time blanket where it begins taking position. If an object is inside the orbit point, which theoritically can be calculated with the equation below:<br /><br />P = S x 2 / g <- The orbit point is equal to the size of the object mutliplied by 2 divided by it's gravity.<br /><br />the object will force the object with less density to be pulled towards the object that is more dense. <br /><br />Also, theoretically, every piece of matter in the Universe of space-time is surrounded by a time blanket. This time blanket allows any object to be collidable with other objects without passing through the object. For example, if you were to collide two balls together, they would simply " bounce" off each other. One exception is when both particles of matter are exactly the same, for then since they are technically the same time blanket, just seperated, they would become one time blanket, making one time blanket.<br /><br />Now, let us say we collide two balls together, You would notice that both objects will, at the speed they were collided together, "bounce" off of each other. There can be an explanation for this, with this theory. Theoretically, the reason why the two balls bounce off each other is because the two time blankets reverse the space-time for the time blanket. If nothing contributed to the collision, then in any form the object, or the ball that collided with the other, would reverse in time at the same speed.<br /><br />As a result, when the two different types of time blankets collided, they repel each other as two magnets of the same poles would do. This is caused by the fact that two time blankets cannot be part of one. It is like the past, present, and future becoming one time. It cannot be done do to the fact that the Universe would start and end at the moment it started.<br /><br />If something were to happen at the same time it was do to happen and at the time it already happened, it would be the same as having the past, present, and future seperated, so this can never happen. This is the same as two different time blankets joining together. If one time blanket were to "go inside" another time blanket, the time blankets would become one time blanket, so the time blanket that was "absorbed" by the other time blanket would not have existed, for it never existed at all.<br /><br /><br /><strong><u>"Time Ghosts"</u></strong><br /><br />Theoretically, in any case, if this were to be possible, if two time blankets were able to be non-collidable and go through each other, an event of a "time ghost" could happen. For example, if two different time blankets, one of an event of one person walking, and one other time blanket, one of an event of the same person standing, were to go through each other, then the person who was standing could emember memorize themselves walking, but this event did not even happen in the first place.<br /><br /><strong><u>"Time Travel"</u></strong><br /><br />In many cases, time travel has thought to have been in fact possible, However, in this theory, time trabel could and could not be possible. The only case in which time travel can only be possible is when the object(s) of the present are in fact existing in both the past and the future. This is do to the fact that if a time blanket does not exist, then it cannot be "traveled" to in the first place.<br /><br />But, you may be wondering, "If matter cannot be created or destroyed, how is this theory possible?" Simply, the time blanket(s) have already been created and planned for each individual piece of matter in the Universe, The poins is, in fact, the time blanket that is gone to is determined to what happens in each other time blanket.<br /><br />The only problem with time travel is if you were to trabel to a different time blanket, you would have needed to create another time blanket in order for that time travel to have occured, which then makes time travel impossible.Gregg Shaffterhttp://www.blogger.com/profile/00423041077680853415noreply@blogger.com0tag:blogger.com,1999:blog-2488928747681870457.post-76015187152594338362011-11-20T19:05:00.000-08:002011-11-20T21:48:51.281-08:00The pattern of NatureI was looking into numbers, and I have found a clue to the pattern of nature. The numbers I found were 1.5, 2.5, 3.5, and 4.5. Now, 22/7 is 3.14285714285. Now, use the number 714285. Add them all up, 7+1+4+2+8+5 = 27. Now, divide 27 by 6, and you will get 4.5. 4.5 is the ending pattern. Here is proof of this.<br /><br /><div class="separator" style="clear: both; text-align: center;"><a href="http://4.bp.blogspot.com/-p_0qS-hNbYM/Tsm-ifz-pgI/AAAAAAAAACw/TDal70-u480/s1600/Image+7.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="141" src="http://4.bp.blogspot.com/-p_0qS-hNbYM/Tsm-ifz-pgI/AAAAAAAAACw/TDal70-u480/s320/Image+7.png" width="320" /></a></div><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;"><a href="http://1.bp.blogspot.com/-XV-r8cNV4B8/TsnBO1dT5tI/AAAAAAAAADA/7xNk-OzMRAc/s1600/Image+9.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="162" src="http://1.bp.blogspot.com/-XV-r8cNV4B8/TsnBO1dT5tI/AAAAAAAAADA/7xNk-OzMRAc/s320/Image+9.png" width="320" /></a></div><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;"><a href="http://2.bp.blogspot.com/-OfN8hP0pueE/Tsnf7CV3cWI/AAAAAAAAADI/WhXduGPa5kI/s1600/Image+10.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="161" src="http://2.bp.blogspot.com/-OfN8hP0pueE/Tsnf7CV3cWI/AAAAAAAAADI/WhXduGPa5kI/s320/Image+10.png" width="320" /></a></div><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;">This is the example of population flucuations of nature.</div><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;">Now, here is the example of the economy:</div><div class="separator" style="clear: both; text-align: center;"><a href="http://1.bp.blogspot.com/-K99tnhtZiR0/Tsm-szk_NWI/AAAAAAAAAC4/ErzWRbuqaP0/s1600/Image+8.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="116" src="http://1.bp.blogspot.com/-K99tnhtZiR0/Tsm-szk_NWI/AAAAAAAAAC4/ErzWRbuqaP0/s320/Image+8.png" width="320" /></a></div><div class="separator" style="clear: both; text-align: center;"><a href="http://finance.yahoo.com/echarts?s=%5EDJI+Interactive#symbol=%5EDJI;range=1d">http://finance.yahoo.com/echarts?s=%5EDJI+Interactive#symbol=%5EDJI;range=1d</a></div><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;">The Population Growth of Elk:</div><div class="separator" style="clear: both; text-align: center;"><a href="http://explorethebitterroot.com/wp-content/uploads/2010/06/elk-study1.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="179" src="http://explorethebitterroot.com/wp-content/uploads/2010/06/elk-study1.png" width="320" /></a></div><a href="http://explorethebitterroot.com/wp-content/uploads/2010/06/elk-study1.png">http://explorethebitterroot.com/wp-content/uploads/2010/06/elk-study1.png</a><br /><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;">Each part of the economy follows the same routine. At first, it rises a bit, then it stablizes. Then, it begins to flucuate. After that, it does this even more. Finally, it falls greatly down. </div><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;">This also happens in nature with the animal populations and seasons.</div><br />The thing is, in this pattern the number it rises by is 1, then when it reaches 4.5, it goes back to 1.5, which would be 4.5 - 3, thus showing that this is the pattern of nature. Also another thing that is important is in those graphics. The graphics display that each 2 or 3 dots on graphics determines it falling or rising. Now, 3 divided by 2 is 1.5, which is the starter point of the pattern.<br /><br />This pattern is similar or even the same as the ways the tides come in and out, the animal populations throught out the year, the human birth and death rate, the rate at which earthquakes occur, and even the flucuation of how many people are born and die each year, day, or even every minute. This pattern could even be the pattern of chess, checkers, Tic Tac Toe, and every game invented. It could maybe predict who wins and who loses each time.<br />Maybe, in fact, with this evidence, we could predict the incline and decline of animal populations, the economy, the stock market, and anything that has to do with nature, such as natural epidemic and the animal populations of different seasons. We could maybe predict the weather with this pattern, but this is just theory so I will continue to research this pattern.Gregg Shaffterhttp://www.blogger.com/profile/00423041077680853415noreply@blogger.com0tag:blogger.com,1999:blog-2488928747681870457.post-170193215791323562011-11-19T20:12:00.000-08:002011-11-19T20:12:44.512-08:00Pi is irrationalWhile working on a new formula, I discovered some proof(not much of proof, but it still is proof) that proves that Pi is in fact irrationa. Here is the work that proves it:<br /><br /><div class="separator" style="clear: both; text-align: center;"><a href="http://4.bp.blogspot.com/-oxWMOHa5aPU/Tsh99b4r7mI/AAAAAAAAACk/pLxNQh_BElQ/s1600/proof.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="176" src="http://4.bp.blogspot.com/-oxWMOHa5aPU/Tsh99b4r7mI/AAAAAAAAACk/pLxNQh_BElQ/s320/proof.png" width="320" /></a></div><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;">For the circle, in the pattern, the numbers will be 488888888888888, and the 8 extends more and more infinitely. In the square example, the pattern is 48484848484848484, meaning there is a pattern within the square, therefore proving that Pi is irrational.</div>Gregg Shaffterhttp://www.blogger.com/profile/00423041077680853415noreply@blogger.com0tag:blogger.com,1999:blog-2488928747681870457.post-30946936181121036692011-11-19T16:05:00.000-08:002011-11-19T16:12:37.658-08:00The Geometric Pattern TheoremWhen I was experimenting with certain patterns, I found something interesting within the pattern. Here is the work:<br /><br /><div class="separator" style="clear: both; text-align: center;"><a href="http://4.bp.blogspot.com/-njS8ouCEblA/TshCCQv0FEI/AAAAAAAAACU/4UHZKF0WaO0/s1600/Image+4.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="240" src="http://4.bp.blogspot.com/-njS8ouCEblA/TshCCQv0FEI/AAAAAAAAACU/4UHZKF0WaO0/s320/Image+4.png" width="320" /></a></div><div align="left" class="separator" style="clear: both; text-align: center;">As you may notice, as you do the samething to every basic shape, the value increases 1, from the values 2.5, 3.5, and 4.5. Now, add all those values up, and you will get 10.5. Now, divide that by 3, since that is how many numbers there are, and you will get 3.5, which is the value of the triangle.</div><div align="left" class="separator" style="clear: both; text-align: center;"><br /></div><div align="left" class="separator" style="clear: both; text-align: center;"><br /></div><div align="left" class="separator" style="clear: both; text-align: center;">Now, let me show you why, with the diagram below:</div><div align="left" class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;"><a href="http://4.bp.blogspot.com/-33FYBG5swls/TshDQ1MVk0I/AAAAAAAAACc/BH0UbLbD0OM/s1600/Image+5.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="240" src="http://4.bp.blogspot.com/-33FYBG5swls/TshDQ1MVk0I/AAAAAAAAACc/BH0UbLbD0OM/s320/Image+5.png" width="320" /></a></div><div align="left" class="separator" style="clear: both; text-align: center;"></div>As you can see, if you were to turn ever curved angle into a straight line, you would get triangles that make up the circle, meaning that the circle is made of triangles, approximately. Now, since the values of the triangles are 3.5, you would multiply 3.5 by 8, which then you get 28, and then divide that by 3, you get 9.3333333333333333333333333333333, which then you would subtract by 8, since you multiplied it by 3.5, and then using the process of getting the golden ratio, you would get 1.618, or the approximation.<br /><br />What you also can do is add up all the values, or 10, 21, and 36, you will get 67, which then you divide by 3 to get 22.33333333333333333333333, and then subtract this number by 21, and then use this number to go through the process of getting the golden ratio, and you also get 1.618, or the approximation.Gregg Shaffterhttp://www.blogger.com/profile/00423041077680853415noreply@blogger.com0tag:blogger.com,1999:blog-2488928747681870457.post-34202097558069052052011-11-19T08:39:00.000-08:002011-11-19T15:18:53.246-08:00The Medinian Theorem of PiWell, currently I have been working on different types of mathematics, such as Geometry, and I have discovered certain things about the Fibanacci Sequence, or the golden ratio. Now, while working on this, I found an expression while trying to calculate values of the golden ratio using different diagrams of the golden ratio.<br /><br /> πa(b) / c<br /><br />In this expression, if we were to measure a sea shell from all parts, you would get the values of 5.5, 3, 3, and π. Now, put the values into the expression, being π * 3(3) / 5.5, you would get the approximation of <br />5.1407879786014798447570528090028 - π x π / 2 = π.<br /><br />Now, I used the diagrams of the Human Face, such as in this link: <a href="http://cquestgarden.com/upload/3851/7286.jpg">http://cquestgarden.com/upload/3851/7286.jpg</a><br /><br /><div class="separator" style="clear: both; text-align: center;"><a href="http://2.bp.blogspot.com/-IRF4u8chIRM/Tsgkip8HWGI/AAAAAAAAABw/zAtuCj99-3Y/s1600/Image1.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="180" src="http://2.bp.blogspot.com/-IRF4u8chIRM/Tsgkip8HWGI/AAAAAAAAABw/zAtuCj99-3Y/s320/Image1.png" width="320" /></a></div><br /><br />Here is a better example, which is more accurate:<br /><br /><div class="separator" style="clear: both; text-align: center;"><a href="http://1.bp.blogspot.com/-1YdCeJ2ZZnQ/TsgsmYqaq6I/AAAAAAAAAB4/T9hf0kW00Cc/s1600/Image2.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="286" src="http://1.bp.blogspot.com/-1YdCeJ2ZZnQ/TsgsmYqaq6I/AAAAAAAAAB4/T9hf0kW00Cc/s320/Image2.png" width="320" /></a></div> <br /><br />Now, using certain measurments, you will get the same spiral shell as if you were to use the flower as a way to map out the sea shell. From this, you will get the same values, 5.5, 3, 3, and π. Now, using a bigger sea shell, or an example: <a href="http://www.fashionablygraphic.com/art/sea-shell1-(sm)-a.jpg">http://www.fashionablygraphic.com/art/sea-shell1-(sm)-a.jpg</a><br /><br />Also:<br /><br /><div class="separator" style="clear: both; text-align: center;"><a href="http://4.bp.blogspot.com/--fkvkBT9-2A/Tsgydi_r3-I/AAAAAAAAACA/NA9iY6aeLF0/s1600/Image+3.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="251" src="http://4.bp.blogspot.com/--fkvkBT9-2A/Tsgydi_r3-I/AAAAAAAAACA/NA9iY6aeLF0/s320/Image+3.png" width="320" /></a></div><br /><br />The measurments would be 11.5, 6, 6, and 2π, and from this you get a relation between the two versions of the sea shell mapped out on both a flower and on the human face, you will get values very similar to each other, therefore proving that 5.5, 3, 3, and π are the main values of the building, or blue print, of the Fibanacci sequence.Gregg Shaffterhttp://www.blogger.com/profile/00423041077680853415noreply@blogger.com0