# pentagonal

share## Examples

pentagonal's examples

**pentagonal**(comparative more pentagonal, superlative most pentagonal) .org/wiki/pentagonal" Category: English adjectives. Personal tools. New. —*“pentagonal - Wiktionary”*,- Learn about Tranxene (Clorazepate Dipotassium) - Side Effects, Drug Interactions, Pictures, Patient Information on RxList pentagonal, peach, imprinted with WATSON, 836 7.5. What are the possible side effects of clorazepate (Tranxene). —
*“Tranxene (Clorazepate Dipotassium) Patient Information”*, - Definition of
**pentagonal**from Webster's New World College Dictionary. Meaning of pentagonal. Pronunciation of pentagonal. Definition of the word pentagonal. Origin of the word pentagonal. —*“pentagonal - Definition of*,**pentagonal**at ” - "and you get the
**pentagonal**numbers in pairs, one of positive rank and the other negative. A000326 (pentagonal numbers), A000217 (triangular numbers), A010815, A034828, A000326, A005449. Indices of nonzero terms of. —*“id:A001318 - OEIS Search Results”*, **pentagonal**number ( pen′tagənəl ¦nəmbər ) ( mathematics ) The total number, P ( n ), of dots marking off unit segments of the sides of a set of. —*“Pentagonal number: Definition from ”*,- Paper Models of pyramids Regular
**Pentagonal**Dipyramid. Truncated Square Pyramid. Regular**Pentagonal**Pyramid. Paper models: pyramids. concave pyramids. truncated pyramids. dipyramids. Other pyramids. Copyrights © 1998-2010 Gijs Korthals Altes All rights reserved. —*“Selection of Pyramids”*, - These tough, stainless steel bolts have a
**pentagonal**head designed for fastening a manhole cover in place. GMP offers the bolts in 1/2 and 5/8 in. Specifically designed for use on Manhole Cover Bolts, this wrench has a**pentagonal**socket at one end fits over the head of our manhole cover bolts,. —*“Manhole Cover Bolts and Wrenches”*, - of benzene rings and may be constructed by partitioning the
**pentagonal**faces into pairs and 3-coloring the It follows directly from Euler's formula that a fullerene has exactly 12**pentagonal**faces. —*“Kekul'e structures and the face independence number of a”*, math.syr.edu - Clipart illustrations of dodecahedrons. Dodecahedrons are polyhedrons with twelve faces. The term usually references regular dodecahedrons, formed by twelve regular
**pentagonal**faces and three meeting at each vertex. The regular dodecahedron is. —*“Dodecahedrons - Clipart ETC”*, etc.usf.edu - square of the diameter of the rim of the defining bowl' in the
**pentagonal**arrangement of golden bowls', at once the square of tenfold the constant ratio of the diameter of the base of a bowl to that of the rim of the next smaller in the**pentagonal**arrangement of golden bowls', ten times the ratio,. —*“Physical Constants & Golden Bowl Arrangements”*, - I will give
**pentagonal**numbers as an example:**Pentagonal**numbers are the numbers of dots you need for consecutive nested Of course the first pentagon is 1 dot, so the first**pentagonal**number is 1. The second pentagon has sides of two dots. —*“Math Forum - Ask Dr. Math”*, - V2.0, June 2008, with additions (magic squares of
**pentagonal**numbers, by Lee Morgenstern) An old problem proposed in 1941, solved in 2007 Another unsolved problem: the smallest magic square of distinct**pentagonal**numbers. —*“ - Smallest magic squares of triangular numbers”*, **Pentagonal**cross-section of okra. Morning glories, like many other flowers, have a An illustration of brittle stars, also echinoderms with a**pentagonal**shape. —*“Pentagon - Wikipedia, the free encyclopedia”*,- Definition of
**pentagonal**in the Online Dictionary. Meaning of pentagonal. Pronunciation of pentagonal. Translations of pentagonal.**pentagonal**synonyms,**pentagonal**antonyms. Information about**pentagonal**in the free online English dictionary and. —*“pentagonal - definition of*,**pentagonal**by the Free Online” - A
**Pentagonal**Number is a figurate number which is drawn on a pentagon. —*“Pentagonal Number - Algebra - Math Dictionary”*, - Space saving qualities and stylish looks come hand in hand with a
**Pentagonal**Door Shower Enclosure. Whatever look you’re after, you’ll find a wonderful variety of different Pentagonal. —*“Pentagonal Shower Enclosures - Shower Enclosures - Showers”*, - 51 is the smallest number which can be written with all the digits from 1 to 5 (without repetition) as a sum of primes: 51 = 2 + 3 + 5 + 41. Note that the highest digit (5) and the lowest digit (1) are the digits of 51 (submitted by Peter Rowlett) Rare Properties of 51. Pentagonal. —
*“Number Gossip: 51”*, **PENTAGONAL**NAVY COIN $4.00. Quantity. Item 1733. AIR FORCE COIN $4.00. Quantity. Item 1767 1769.**PENTAGONAL**COAST GAURD COIN $4.00. Quantity. Item 1703. COAST GUARD KEY CHAIN $3.50. —*“White House Gift Shop Catalog”*,**Pentagonal**Pyramid.**Pentagonal**Pyramid Facts. Notice these interesting things: It has 6 Faces · The 5 Side Faces are Triangles · The Base is a Pentagon. It has 6 Vertices (corner points) It has 10 Edges. And for reference: Volume = 1/3 × [Base Area] × Height. —*“Spinning*,**Pentagonal**Pyramid”- The generating function for the
**pentagonal**numbers is. Every**pentagonal**number is 1/3 of a triangular number. All positive integers can be expressed using five**pentagonal**numbers. —*“Pentagonal Number -- from Wolfram MathWorld”*,

## Videos

related videos for pentagonal

**Pentagonal ice in chains**/ice: As the structure of the humble snowflake attests to ice crystals normally come in hexagons. However, our simulations (along with experiments from Andrew Hodgson and co-workers at the University of Liverpool) show that ice can come in pentagons too. The movie shows an ab initio molecular dynamics simulation of a chain of water pentagons on a Cu surface. To learn more see /ice or Carrasco et al, Nature Mater. 8, 427 (2009).**Pentagonal Art Template**The Wolfram Demonstrations Project contains thousands of free interactive visualizations, with new entries added daily. Eight parallel lines are drawn with spacings phi, 1, phi, 1, phi, phi, 1, phi, where phi is the golden ratio. Then more lines are added with the same spacings. These 16 lines plus a central line are repeated 10 times after rotating the... Contributed by: Sandor Kabai**MF52: Leonhard Euler and Pentagonal numbers**Leonhard Euler was the greatest mathematician of modern times. His work on pentagonal numbers shows that they connect naturally to sums of divisors of numbers, and also to the partition functions. These are both really surprising facts. This video belongs to Wildberger's MathFoundations series, which attempts to create a coherent and logical framework for modern mathematics.**Pentagonal Wave by Reuben Margolin @ Alphonse Berber Gallery****Some new companions to Euler's pentagonal numbers theorem part5**Date: September 23, 2010 Speaker: Krishnaswami Alladi, Univeristy of Florida Title: Some new companions to Euler's pentagonal numbers theorem Abstract: We will deduce two new companions to Euler's celebrated Pentagonal numbers theorem from partial theta identiities of Ramanujan and Andrews. These companions are acttually stronger in the sense that they can be refined by the introduction of a parameter a. The cancellation by parity split is just as strong as in Euler's theorem even with the parameter a, but for these companions the role of the pentagonal numbers is replaced by the squares. It is amazing that even though the weights in the two companions are different, their sums are the same, and so the cancellation and the resulting lacunarity are identical. Finally, from another identity in Ramanujan's Lost Notebook, we will deduce one more companion to Euler's theorem, this one involving twice the pentagonal numbers. We will show how these companions are connected to various fundamental results in the theory of partitions and q-hypergeometric series. The talk will be accessible to non-experts.**Drilling a Pentagonal Hole**The Wolfram Demonstrations Project contains thousands of free interactive visualizations, with new entries added daily. The construction shown lets you turn circular motion into pentagonal motion and so construct a drill that drills pentagonal holes. The roller?the yellow shape that rotates within the large pentagon?consists of six circular arcs. As it rotates, the two c... Contributed by: Barry Cox and Stan Wagon (University of Wollongong and Macalester College)**Some new companions to Euler's pentagonal numbers theorem part4**Date: September 23, 2010 Speaker: Krishnaswami Alladi, Univeristy of Florida Title: Some new companions to Euler's pentagonal numbers theorem Abstract: We will deduce two new companions to Euler's celebrated Pentagonal numbers theorem from partial theta identiities of Ramanujan and Andrews. These companions are acttually stronger in the sense that they can be refined by the introduction of a parameter a. The cancellation by parity split is just as strong as in Euler's theorem even with the parameter a, but for these companions the role of the pentagonal numbers is replaced by the squares. It is amazing that even though the weights in the two companions are different, their sums are the same, and so the cancellation and the resulting lacunarity are identical. Finally, from another identity in Ramanujan's Lost Notebook, we will deduce one more companion to Euler's theorem, this one involving twice the pentagonal numbers. We will show how these companions are connected to various fundamental results in the theory of partitions and q-hypergeometric series. The talk will be accessible to non-experts.**pentagonal vib.**infrasound in liquid**Pentagonal Prism**A quick demonstration of a Pentagonal Prism. Built by me, but invented by Lee Tutt.**ball with pentagonal face.wmv**ball with pentagonal faces this ball is very nice although a skeleton represents the magic of origami is assembled with 12 large modules that are united by 20 small modules**The making of a pentagonal virginal**This video is a series of still shots taken during the various stages of making an Italian virginal to the ubiquitous pentagonal design from the late Italian renaissance. This particular instrument was made during the summer of 2007, using the sketches in John Koster's catalogue of keyboard instruments at the MFA, Boston, Mass. The case is in maple as are the natural keyplates. Part of my motivation was to explore the extent to which it is possible to produce an instrument at low pitch - this one has been designed to play at 395Hz, a full tone below modern pitch. I think it is not an entirely successful experiment owing to the difficulty of getting satisfactory repetition in the bass with such low string tension. Pretty though, isn't it!**Pentagonal Pyramid**The Wolfram Demonstrations Project contains thousands of free interactive visualizations, with new entries added daily. A pentagonal pyramid, having edge lengths 1 and phi (the golden ratio), can be used to study the relationships of various polyhedra. Two such pyramids, sharing the same axis but pointing in opposite directions, determine the vertices of an icosahedro... Contributed by: Sandor Kabai and Gabor Gevay**Nanodots - Educational Magnet Toy - Pentagonal Bipyramid**Nanodots Tutorial 10-sided shape made from stacking several extended pentagons. This shape can be used in place of the typical single-layered extended pentagon commonly used in the dodecahedron / icosahedron for a significantly stronger structure. This shape can be extended infinitely for larger pentagons. Nanodots are a revolutionary tool for discovering the universal nature of geometry, science, mathematics and engineering. http Nanodots are Not Ordinary Magnets We've spent thousands of hours in materials engineering to perfect the characteristics that make nanodots the most versitile, consistent and lustrious constructor material possible.**Toru Takemitsu - A Flock Descends into the Pentagonal Garden (1/2)**One of Takemitsu's most well known pieces.**pentagonal icositetrahedron balloon**This was a very constrained design. I needed to somehow deal with 32 degree three vertices (the 6 degree four vertices were no problem). Part of the constraints that I impose is that I like to have each of the balloons be interchangeable: it makes it easier to build and design. It turns out that these four balloons are not interchangeable--there are 2 types differing by a twist.**Pentagonal star Streptohedron**David Springett started this idea of creating objects he called streptohedrons which he describes in his book "Woodturning full circle". This is one uses a pentagonal star which is turned to create a cone. This is then sliced in half and rotated and stuck together again. Animation created with Google Sketchup.**Christopher Willits - Pentagonal - From "Folding, and the Tea"**Pentagonal, from the album "Folding and the Tea" was released on the label 12k in 2002. for more information visit - To directly support Christopher Willits' music + art and the prospect of more of it in the future, you can buy high quality files of these sounds at -**Some new companions to Euler's pentagonal numbers theorem part2**Date: September 23, 2010 Speaker: Krishnaswami Alladi, Univeristy of Florida Title: Some new companions to Euler's pentagonal numbers theorem Abstract: We will deduce two new companions to Euler's celebrated Pentagonal numbers theorem from partial theta identiities of Ramanujan and Andrews. These companions are acttually stronger in the sense that they can be refined by the introduction of a parameter a. The cancellation by parity split is just as strong as in Euler's theorem even with the parameter a, but for these companions the role of the pentagonal numbers is replaced by the squares. It is amazing that even though the weights in the two companions are different, their sums are the same, and so the cancellation and the resulting lacunarity are identical. Finally, from another identity in Ramanujan's Lost Notebook, we will deduce one more companion to Euler's theorem, this one involving twice the pentagonal numbers. We will show how these companions are connected to various fundamental results in the theory of partitions and q-hypergeometric series. The talk will be accessible to non-experts.**Lee Tutt's Pentagonal Prism Puzzle (disassembly and assembly)**This is me taking apart one of Lee's superb Pentagonal Prism puzzles. Lee Tutt was the first person to ever make this puzzle back in the mid 90s. He made it by using CAD and 3d printing so it is 100% custom made. The slightly fuzzy sticker reads Lee Tutt, 2007, #3. Which naturally means it was made in 2007 and this is the 3rd to be made. I do not know the total number he made or where to buy it. It has never been mass produced so I guess your best bet is ebay though they won't be cheap or available very often.**How to Make Flat Pentagons/ Pentagonal Prisms/ Spinning Tops Using Magnetic Spheres**sorry about what i say in the movie, words weren't working very well in my brain that day.**'Self-Winding' Flashing Spinning Origami 6 - Pentagonal Flasher-Spinner**Flasher-Spinner spins by itself when released. Inspired by Chris Palmer's spinning hexagonal flasher in the film 'Between the Folds' and Jeremy Shafer's Simple Flasher, this is the sixth in an ongoing series of flasher-spinners I am experimenting with, my goal being to reproduce the hexagonal flasher from the film. I videographed all of this in real time. No tricks or CGI employed. No external blower. Just accurate folding, angular momentum, pretty good balance, and a level glossy surface. The gaps are just when the spinner went out of frame.**PENTAGONAL : Ramsey Lewis, Sir Roland Hanna : ONE-NIGHT STAND A KEYBOARD EVENT****The Pentagon**Buy at Copyright (c) 2010, M.Oskar van Deventer. The Pentagon is a pentagonal equivalent of the 2x2x2 Rubik's Cube. The pieces are a bit hollowed out so they can turn smoothly over and under each other. Thispuzzle was 3D-printed using nylon-powder SLS technology, which explains its price. It is the very first prototype, costing its designer and maker a lot of money to create. Please do not confuse it for a cheap mass-produced puzzle.**Beautiful Pentagonal Zoom (Z^5+C)**Just a short little run I did of the Pentagonal Mandelbrot. I haven't done a lot of zoom runs with the higher-order (above 3) Mandelbrots, and I think this one turned out nicely. Pay especially close attention to the gorgeous five-sided midget near the end. Music from the game Lagrange Point (Famicom), generated by the VRC7sound chip.**How I won in Pentagonal Room**Thought it'd be funny if I put this in the 'News & Politics' section ;P No flames please!**Pentagonal diamond**these are a few different variations to a pentagonal diamond! I recorded this video on my ipod touch 4G and edited it in iMovie for iphone zen magnets! buy at Petra-Let Everything that Hath Breath**pentagonal graecorelativism (1 of 2)**stoicism, cynicism, epicureanism, pythagoreanism, and skepticism... with relativistic glue**Pentagonal Wave**kinetic sculpture with 288 strings. by Reuben Margolin.**Another flower I--pentagonal anti-prism**This is another design for a flower. This takes two balloons. The first will make an pentagonal anti-prism.**The Monstrous Pentagonal Mars's eyed Megalopolis**This is real folks. Spread the news. Links to imagery used and/or enhanced in this video: Wikipedia article:**Some new companions to Euler's pentagonal numbers theorem part3**Date: September 23, 2010 Speaker: Krishnaswami Alladi, Univeristy of Florida Title: Some new companions to Euler's pentagonal numbers theorem Abstract: We will deduce two new companions to Euler's celebrated Pentagonal numbers theorem from partial theta identiities of Ramanujan and Andrews. These companions are acttually stronger in the sense that they can be refined by the introduction of a parameter a. The cancellation by parity split is just as strong as in Euler's theorem even with the parameter a, but for these companions the role of the pentagonal numbers is replaced by the squares. It is amazing that even though the weights in the two companions are different, their sums are the same, and so the cancellation and the resulting lacunarity are identical. Finally, from another identity in Ramanujan's Lost Notebook, we will deduce one more companion to Euler's theorem, this one involving twice the pentagonal numbers. We will show how these companions are connected to various fundamental results in the theory of partitions and q-hypergeometric series. The talk will be accessible to non-experts.**Some new companions to Euler's pentagonal numbers theorem-part7**Date: September 23, 2010 Speaker: Krishnaswami Alladi, Univeristy of Florida Title: Some new companions to Euler's pentagonal numbers theorem Abstract: We will deduce two new companions to Euler's celebrated Pentagonal numbers theorem from partial theta identiities of Ramanujan and Andrews. These companions are acttually stronger in the sense that they can be refined by the introduction of a parameter $a$. The cancellation by parity split is just as strong as in Euler's theorem even with the parameter $a$, but for these companions the role of the pentagonal numbers is replaced by the squares. It is amazing that even though the weights in the two companions are different, their sums are the same, and so the cancellation and the resulting lacunarity are identical. Finally, from another identity in Ramanujan's Lost Notebook, we will deduce one more companion to Euler's theorem, this one involving twice the pentagonal numbers. We will show how these companions are connected to various fundamental results in the theory of partitions and q-hypergeometric series. The talk will be accessible to non-experts.**Pentagonal Prism (Finished)**The finished version of my Pentagonal Prism. Many thanks to Lee Tutt for his incredible designs.**Pentagonal Domino**Custom twistypuzzle created by me. You can buy this puzzle at**Pentagonal Tube Geometry**Model: TKR002Polyhedral radial expansion through dodecahedra and icosahedra periodicity. The primary 2D unit cell is a geometrical rhombus with length and width ratio of the golden mean. From the above comes a spatial transformation into a 3D rhombohedron (hexahedron), which characterises the radial expansion of many so called Quai-crystals, Bucky Tubes, Bucky Balls etc. In some cases, several differing types of rhombohedra are required for the regular growth of a single model. All, though make use of the same 2D rhombohedron unit cell. 1. Triacontahedra or alternatively, Rhombic Icosahedrons. 2. Rhombic Dodecahedron. 3. Rhombohedra (Hexahedron). 4. Oblate rhombohedron. The models made with the Golden ratio rhombus exhibit either tenfold or fivefold rotational symmetry. Music courtesy of audionautix http Keywords: polyhedra, golden ratio, icosahedrons, dodecahedron, rhombohedron, rhombic dodecahedron, bucky tubes, bucky balls, geometry, nano, nano tubes, golden ratio Copyright: Copyright 2010, All rights reserved**Zen Magnets: Pentagonal hexecontahedron**Pretty simple and looks very much like an icosahedron.**Pentagonal flowing forms**Water responds to a mechanical vibration by waves wich interfere, and form harmonic patterns. In this case you can see a fivefold symmetrical figure, that changes (metamorfose) and returns in a ritmical way. Look how the outside lines flow, how two polar fases (of pentagons) alternate, how forms flow over to other forms. Structures and Dynamics are always in harmony with each othe; space and time connected by ritmical wav fenomena.**puls pentagonal vib.**faraday crisp.**Some new companions to Euler's pentagonal numbers theorem part1**Date: September 23, 2010 Speaker: Krishnaswami Alladi, Univeristy of Florida Title: Some new companions to Euler's pentagonal numbers theorem Abstract: We will deduce two new companions to Euler's celebrated Pentagonal numbers theorem from partial theta identiities of Ramanujan and Andrews. These companions are acttually stronger in the sense that they can be refined by the introduction of a parameter a. The cancellation by parity split is just as strong as in Euler's theorem even with the parameter a, but for these companions the role of the pentagonal numbers is replaced by the squares. It is amazing that even though the weights in the two companions are different, their sums are the same, and so the cancellation and the resulting lacunarity are identical. Finally, from another identity in Ramanujan's Lost Notebook, we will deduce one more companion to Euler's theorem, this one involving twice the pentagonal numbers. We will show how these companions are connected to various fundamental results in the theory of partitions and q-hypergeometric series. The talk will be accessible to non-experts.**Some new companions to Euler's pentagonal numbers theorem part6**Date: September 23, 2010 Speaker: Krishnaswami Alladi, Univeristy of Florida Title: Some new companions to Euler's pentagonal numbers theorem Abstract: We will deduce two new companions to Euler's celebrated Pentagonal numbers theorem from partial theta identiities of Ramanujan and Andrews. These companions are acttually stronger in the sense that they can be refined by the introduction of a parameter a. The cancellation by parity split is just as strong as in Euler's theorem even with the parameter a, but for these companions the role of the pentagonal numbers is replaced by the squares. It is amazing that even though the weights in the two companions are different, their sums are the same, and so the cancellation and the resulting lacunarity are identical. Finally, from another identity in Ramanujan's Lost Notebook, we will deduce one more companion to Euler's theorem, this one involving twice the pentagonal numbers. We will show how these companions are connected to various fundamental results in the theory of partitions and q-hypergeometric series. The talk will be accessible to non-experts.

## Blogs & Forum

blogs and forums about pentagonal

*“Photographer:John Adam; John's Webpage Summary Author: John Adam The flower depicted above is called Nigella (Nigella damascene), sometimes known as "love-in-a-mist." I noticed these attractive flowers when visiting Wing Haven Gardens and Bird”**—***Pentagonal**Symmetry - Earth Science Picture of the Day, epod.usra.edu*“This Blog is the work of two fervent opponents of KaSStro's dictatorship in Cuba As the title of the Blog implies we are not looking for dialogs, nor believe in "”**— KillCastro - A war blog:***Pentagonal**thoughts,*“It is composed of 12***pentagonal**faces (six pairs of parallel. A dodecahedron is any a platonic solid composed of twelve regular**pentagonal**faces, with three meeting at”*— kelvin hackey's blog, free-blog-**“Please donate to support our blog, website, and podcast. vortices, setting up a***pentagonal**shape. Credit: Cooperative Institute for Meteorological”*— Saturn's hexagon is not unique - The Planetary Society Blog,**“[ Log In] " Forums " General Discussion " General Satanism Discussions "***Pentagonal**Revision and Robotics 24105 - 02/04/04 01:27 AM Re:**Pentagonal**Revision and Robotics [Re: Wonka]”*—***Pentagonal**Revision and Robotics - Letters to the Devil,*“Pentagonal rotunda. Eight uniform star polyhedra share the same vertex arrangement. Of these, two also share the same edge arrangement: the small icosihemidodecahedron (having the triangular faces in common), and the small dodecahemidodecahedron (having the***pentagonal**faces in common)”*— The KDU Network — Blog — Tags — Daniel-j-diggle,**“Buying a House or Buying a Brand: The Top Ten Real Estate Logos When you buy or sell a home, how do you choose your real estate professional? With A white star is enclosed in a calming green, leaf-like***pentagonal**shape. Lines that jut out from the shape look like stems but also suggest movement”*— Top 10 Realtor Company Logos | Logo Design Blog,**“Pscope (Pentagonal kaleidoscope) is a kaleidoscope-like image generator interacting with Using photo images, Pscope displays pentagonal-shaped image segments spread on the screen”**— 2010 July : boreal-, blog.boreal-**“Find the next triangle number that is also***pentagonal**and hexagonal. looking for the first hexagonal number after H143 that's pentagonal”*— John Tobin: blog, johntobin.ie*

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