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Different Approaches to Familiar Topics | Diary of a Piman
https://diaryofapiman.wordpress.com/2012/10/21/different-approaches-to-familiar-topics
Diary of a Piman. Musings about the teaching and learning of K-12 mathematics. Skip to primary content. Different Approaches to Familiar Topics. October 21, 2012. It was an honour and a privilege to present today to such a great group of passionate mathematics teachers at the Northwest Mathematics Conference in Victoria, BC. With apologies again for those who did not get a handout, you can click on the image below to download a pdf of it. Click here to download a pdf of my handout. Diary of a Piman.
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License | Four color theorem
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Open points and notes. Conversion of famous maps. Conversion of H&A map (first steps). K4 and different four colorings? Simplify F4 faces – first version. You are free to copy, redistribute, modify, or otherwise use anything I write on this blog, as long as you attribute me as the source, by giving my name and the name of this blog. Leave a Reply Cancel reply. Enter your comment here. Fill in your details below or click an icon to log in:. Address never made public). Notify me of new comments via email.
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Quotes | Four color theorem
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Open points and notes. Conversion of famous maps. Conversion of H&A map (first steps). K4 and different four colorings? Simplify F4 faces – first version. Notes found on internet on why a non computer proof of this problem is important. I tried to collect all the notes I found (other will follow), no matter the different opinions I may have on the subject:. Sarah Buchan, Sharvari Nadkarn. Andreea S. Calude. 8220;Its computer aided proof has forced mathematicians to question the notions of proofs and math...
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@ | Four color theorem
https://4coloring.wordpress.com/spiral-chains
Open points and notes. Conversion of famous maps. Conversion of H&A map (first steps). K4 and different four colorings? Simplify F4 faces – first version. This page is dedicated to Cahit spiral chains. What I’m trying to do is to apply Cahit spiral chains to simplified rectangular maps and then add this tool to the java program I’m writing. Example: Spiral chains change depending from the starting point. Considering that Tutte’s graph. This is a rectangular map of 12 faces, that has only one spiral:.
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Conversion of famous maps | Four color theorem
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Open points and notes. Conversion of famous maps. Conversion of H&A map (first steps). K4 and different four colorings? Simplify F4 faces – first version. Conversion of famous maps. These maps have been topologically tranformed into circular and rectangular maps. I will add other maps on this page from time to time. The theorem in T2. Proves that all regular maps (basically all maps of interest to the four color theorem) can be topologically tranformed into circular of rectangular maps. 2) when a single ...
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Open points and notes | Four color theorem
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Open points and notes. Conversion of famous maps. Conversion of H&A map (first steps). K4 and different four colorings? Simplify F4 faces – first version. Open points and notes. I’m no longer updating this section. New notes are being written as normal posts. Three edge coloring of bridgeless cubic planar graphs and rectangular maps. Questions I’d like to verify:. I don’t remember why I needed to verify this, but the answer is yes, since “An edge of a connected graph. Is a bridge iff. See here: are these...
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Software | Four color theorem
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Open points and notes. Conversion of famous maps. Conversion of H&A map (first steps). K4 and different four colorings? Simplify F4 faces – first version. Snapshots of the java application:. To download the software and the source code of the project go to the sourceforge site:. Youtube channel (see it in action):. Http:/ www.youtube.com/user/mariostefanutti. JVM settings for 1.6 (to go a great deal faster than default settings):. Java -Xms1500m -Xmx1500m -XX: UseParallelGC -jar name .jar. Push play, wai...
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||| T2 ||| | Four color theorem
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Open points and notes. Conversion of famous maps. Conversion of H&A map (first steps). K4 and different four colorings? Simplify F4 faces – first version. All regular maps can be topologically transformed into circular maps or rectangular maps. Stated in terms of graph theory:. Why I think this result is important:. This theorem may also be useful for other areas of investigation in topology, not only for the four color theorem. It is straightforward to consider a map as a jigsaw puzzle, if we imagine th...
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Abstract | Four color theorem
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Open points and notes. Conversion of famous maps. Conversion of H&A map (first steps). K4 and different four colorings? Simplify F4 faces – first version. Martin Gardner commented: “Whether a simple, elegant proof not requiring a computer will ever be found, is still an open question. It’s interesting that such a simple, intuitive puzzle can be so difficult to settle! The approach used here to find a new solution is also based on two results which, I think, haven’t been considered so far:. Tutte’s ...
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+ | Four color theorem
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Open points and notes. Conversion of famous maps. Conversion of H&A map (first steps). K4 and different four colorings? Simplify F4 faces – first version. Leave a Reply Cancel reply. Enter your comment here. Fill in your details below or click an icon to log in:. Address never made public). You are commenting using your WordPress.com account. ( Log Out. You are commenting using your Twitter account. ( Log Out. You are commenting using your Facebook account. ( Log Out. Notify me of new comments via email.
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