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Tower of Hanoi, Pascal triangle and sierpinski triangle | Math World
https://slevy.wordpress.com/2008/09/16/tower-of-hanoi-pascal-triangle-and-sierpinski-triangle
Explanation for unexplainable math facts. Tower of Hanoi, Pascal triangle and sierpinski triangle. I realized that the Sierpinski graph is obtained from drawing a closed equilateral triangle. If we delete the middle triangle and do the same for the subtriangles we end up with the same graph has the tower of Hanoi. The pascal triange Graph if attach all the odd numbers forming triangles we have the same graph has the tower of hanoi for a 3 peg with n amount of disks. Previous Entry: Hello world!
Tower of Hanoi | Math World
https://slevy.wordpress.com/2008/09/16/tower-of-hanoi-2
Explanation for unexplainable math facts. The edges of the graph are the legal moves of a single top disc. The graph is simple, connected and on a plane. For the Pascal triangle the odd numbers are the legal move and can be connected to form simple, connected triangle on a graph. Posted by sslevy on September 16, 2008 at 8:03 pm. Previous Entry: Tower of Hanoi. Next Entry: Tower of Hanoi 4 peg. Leave a Reply Cancel reply. Enter your comment here. Fill in your details below or click an icon to log in:.
November | 2008 | Math World
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Explanation for unexplainable math facts. Archive for November 2008. November 4, 2008. For class today we attempted to use Mathematica to come up with a simple code to write a random path with the use of probabilities. This is the code Gary, Matt and I came up with:. This makes the first step of the random path.*). Randompath = { 0, 0} ;. This defines the neighbors of the point{x,y}.*). Left[{x , y }] := {x – 1, y};. Right[{x , y }] := {x 1, y};. Up[{x , y }] := {x, y 1};. Down[{x, y}]};.
Tower of Hanoi | Math World
https://slevy.wordpress.com/2008/09/16/tower-of-hanoi
Explanation for unexplainable math facts. In playing the Tower of Hanoi for a 3 peg with n amount of disk. In order to get the least amount of moves, in class, we derived the formula. M(n) = 2*m(n-1) 1. M(n)= m(n-1) 1 M(n-1). M(n)= # of moves for n disk. This formula hold true for all n disks on a 3 peg. This formula simple states that you move twice the number of moves made for n-1 disks. Then since we have a extra disks that is the 1 move for the game. Posted by sslevy on September 16, 2008 at 7:59 pm.
Hello world! | Math World
https://slevy.wordpress.com/2008/09/09/hello-world
Explanation for unexplainable math facts. Welcome to WordPress.com. This is your first post. Edit or delete it and start blogging! Posted by sslevy on September 9, 2008 at 7:38 pm. Next Entry: Tower of Hanoi, Pascal triangle and sierpinski triangle. Hi, this is a comment. To delete a comment, just log in, and view the posts’ comments, there you will have the option to edit or delete them. Posted on September 9, 2008 at 7:38 pm. RSS Feed for this entry. Leave a Reply Cancel reply. Enter your comment here.
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2. Energy of graphs | Mathematical Inquiry
https://mth487f08.wordpress.com/4-energy-of-graphs
MTH 487 Fall 2008 University of Massachusetts Dartmouth. 1 Does 10 have any friends? 2 Energy of graphs. 3 The Tower of Hanoi, with 3 or more pegs. Andrew Perry’s conjecture. The Hanoi Tower group H3. 4 Equidistribution (or not). 6 Pattern formation in growing sandpiles. 2 Energy of graphs. The chemical models of. Of hydrocarbons led Ivan Gutman ( 1978: The energy of a graph, Ber. Math.-Statist. Sekt. Forschungszentrum Graz., Journal, Vol 103,1-22. To define the energy. Of a simple undirected graph.
Mathematica® code for generating planar random walks with memory | Mathematical Inquiry
https://mth487f08.wordpress.com/2008/10/14/mathematica-code-for-generating-planar-random-walks-with-memory
MTH 487 Fall 2008 University of Massachusetts Dartmouth. 1 Does 10 have any friends? 2 Energy of graphs. 3 The Tower of Hanoi, with 3 or more pegs. Andrew Perry’s conjecture. The Hanoi Tower group H3. 4 Equidistribution (or not). 6 Pattern formation in growing sandpiles. Tower of Hanoi graphs. Random walks with memory on a square lattice →. Mathematica code for generating planar random walks with memory. October 14, 2008. Comments Off on Mathematica code for generating planar random walks with memory.
Mathematical Inquiry
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MTH 487 Fall 2008 University of Massachusetts Dartmouth. 1 Does 10 have any friends? 2 Energy of graphs. 3 The Tower of Hanoi, with 3 or more pegs. Andrew Perry’s conjecture. The Hanoi Tower group H3. 4 Equidistribution (or not). 6 Pattern formation in growing sandpiles. The instructor for MTH 487, Mathematical Inquiry, Fall 2008 is Dr. Gary Davis, Professor of Mathematics, University of Massachusetts Dartmouth. Office: Room 394 E, Liberal Arts Building. I was born and raised in Melbourne.
• Tower of Hanoi graphs | Mathematical Inquiry
https://mth487f08.wordpress.com/2008/09/08/•-tower-of-hanoi-graphs
MTH 487 Fall 2008 University of Massachusetts Dartmouth. 1 Does 10 have any friends? 2 Energy of graphs. 3 The Tower of Hanoi, with 3 or more pegs. Andrew Perry’s conjecture. The Hanoi Tower group H3. 4 Equidistribution (or not). 6 Pattern formation in growing sandpiles. Mathematica code for generating planar random walks with memory →. Tower of Hanoi graphs. September 8, 2008. Comments Off on Tower of Hanoi graphs. Tuesday September 9 we will be looking at the Tower of Hanoi problem in some depth.
Andrew Perry’s conjecture | Mathematical Inquiry
https://mth487f08.wordpress.com/3-the-tower-of-hanoi/andrew-perrys-conjectur
MTH 487 Fall 2008 University of Massachusetts Dartmouth. 1 Does 10 have any friends? 2 Energy of graphs. 3 The Tower of Hanoi, with 3 or more pegs. Andrew Perry’s conjecture. The Hanoi Tower group H3. 4 Equidistribution (or not). 6 Pattern formation in growing sandpiles. Andrew Perry’s conjecture. In examining the Tower of Hanoi problem with 4 pegs, Andrew Perry came up with a conjecture that for. Is not too large – for example,. 8211; the minimal number of moves required to move all. If we place all the.
6. Pattern formation in growing sandpiles | Mathematical Inquiry
https://mth487f08.wordpress.com/6-pattern-formation-in-growing-sandpiles
MTH 487 Fall 2008 University of Massachusetts Dartmouth. 1 Does 10 have any friends? 2 Energy of graphs. 3 The Tower of Hanoi, with 3 or more pegs. Andrew Perry’s conjecture. The Hanoi Tower group H3. 4 Equidistribution (or not). 6 Pattern formation in growing sandpiles. 6 Pattern formation in growing sandpiles. Pattern formation in growing sandpiles. The aim of this project is to consider and extend Dhar. 8216;s findings for other lattices, in particular for the triangular lattice:. Deepak Dhar (1999) S...
Trapping for random walks of memory 8 | Mathematical Inquiry
https://mth487f08.wordpress.com/2008/11/05/trapping-for-random-walks-of-memory-8
MTH 487 Fall 2008 University of Massachusetts Dartmouth. 1 Does 10 have any friends? 2 Energy of graphs. 3 The Tower of Hanoi, with 3 or more pegs. Andrew Perry’s conjecture. The Hanoi Tower group H3. 4 Equidistribution (or not). 6 Pattern formation in growing sandpiles. Matlab code for random walk with memory 8 (Adam Callahan). Outline of Sigma Xi presentation →. Trapping for random walks of memory 8. November 5, 2008. Comments Off on Trapping for random walks of memory 8. U for a transition from point.
3. The Tower of Hanoi, with 3 or more pegs | Mathematical Inquiry
https://mth487f08.wordpress.com/3-the-tower-of-hanoi
MTH 487 Fall 2008 University of Massachusetts Dartmouth. 1 Does 10 have any friends? 2 Energy of graphs. 3 The Tower of Hanoi, with 3 or more pegs. Andrew Perry’s conjecture. The Hanoi Tower group H3. 4 Equidistribution (or not). 6 Pattern formation in growing sandpiles. 3 The Tower of Hanoi, with 3 or more pegs. The usual Tower of Hanoi problem is to move a number of disks, from one peg to another in the smallest number of moves:. The rules for the Tower of Hanoi game are these:. Our second task is to i...
Outline of Sigma Xi presentation | Mathematical Inquiry
https://mth487f08.wordpress.com/2008/12/02/outline-of-sigma-xi-presentation
MTH 487 Fall 2008 University of Massachusetts Dartmouth. 1 Does 10 have any friends? 2 Energy of graphs. 3 The Tower of Hanoi, with 3 or more pegs. Andrew Perry’s conjecture. The Hanoi Tower group H3. 4 Equidistribution (or not). 6 Pattern formation in growing sandpiles. Trapping for random walks of memory 8. Outline of Sigma Xi presentation. December 2, 2008. Comments Off on Outline of Sigma Xi presentation. Sigma xi 2009 random walks with memory. This entry was posted in Uncategorized.
Random walks with memory on a square lattice | Mathematical Inquiry
https://mth487f08.wordpress.com/2008/10/28/random-walks-with-memory-on-a-square-lattice
MTH 487 Fall 2008 University of Massachusetts Dartmouth. 1 Does 10 have any friends? 2 Energy of graphs. 3 The Tower of Hanoi, with 3 or more pegs. Andrew Perry’s conjecture. The Hanoi Tower group H3. 4 Equidistribution (or not). 6 Pattern formation in growing sandpiles. Mathematica code for generating planar random walks with memory. Matlab code for random walk with memory 8 (Adam Callahan) →. Random walks with memory on a square lattice. October 28, 2008. Or their recent history. Has 4 neighbors –.
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Math World | explanation for unexplainable math facts
Explanation for unexplainable math facts. Tower of Hanoi 4 peg. October 7, 2008. In class on Sept. 30, 2008, we had an interesting session. Elise and Adam lead the class with their recursive patterns for solving the 4 peg system. The concept was that a 3 peg sytem can be used to give the answer for the minimal amount of moves needed to solve a 4 peg system. Elise came up with a mathematical calculation process to attain the least amount of moves. We attempted to formulate a function. September 16, 2008.
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