Nobody downloaded yet

Origami - Math Problem Example

Comments (0) Cite this document
Edge coloring is a major problem of graph coloring. For a dodecahedron, 3-edge coloring assigns colors to different edges of the dodecahedron. Proper 3-edge coloring is done in a way that ensures that none of the vertexes of the dodecahedron has 2 edges whjich have the same colour leaving it…
Download full paperFile format: .doc, available for editing
GRAB THE BEST PAPER94.6% of users find it useful
Read TextPreview

Extract of sample

Download file to see previous pages For a dodecahedron, at least 3 different colors are required, as a dodecahedron cannot be properly colored in less than 3 colours. It is advisable to draw the planar graph of a a dodecahedron when planning the 3-edge coloring. "It is always quite puzzling to try to make use only 3 colors of paper with no two units of the same color touching. Each unit corresponds to an edge of the planar graph, so this is equivalent to a proper 3-edge-coloring of the polyhedron." (T.Hull, 2006)
During the nineteenth century, Sir William Rowan Hamilton who was a mathematician from Ireland, invented a puzzle known as 'Around the World.' The concept behind the puzzle was to label the vertices of a regular dodecahedron according to the names of various cities of the world. Hamilton's puzzle can be solved by beginning from any given city (i.e. any vertex) and traveling around the world from one city (vertex) to another. This entails that one moves along the edges of the dodecahedron in such a manner that each other city is touched only once before going back to the original vertex or starting point. This solution to Hamilton's puzzle is known as a Hamilton cycle/Hamilton circuit. Thus, a Hamilton circuit can be said to be a path in the dodecahedron which starts at a vertex, touches every other vertex, in the dodecahedron, and then returns to the original starting point without touching any single vertex two times.

A Hamilton circuit in the planar graph of a dodecahedron

J.A.Gallian (2006) Contemporary Abstract Algebra. Houghton
R.A.Brualdi (2004) Introductory Combinatorics. Prentice Hall
T.Hull (2006) Project Origami-Activities for Exploring Mathematics. A K Peters ...Download file to see next pagesRead More
Cite this document
  • APA
  • MLA
(“Origami Math Problem Example | Topics and Well Written Essays - 750 words”, n.d.)
Origami Math Problem Example | Topics and Well Written Essays - 750 words. Retrieved from
(Origami Math Problem Example | Topics and Well Written Essays - 750 Words)
Origami Math Problem Example | Topics and Well Written Essays - 750 Words.
“Origami Math Problem Example | Topics and Well Written Essays - 750 Words”, n.d.
  • Cited: 0 times
Comments (0)
Click to create a comment or rate a document
Destructiveness of garment structure
Deconstruction is “an influential French style of philosophical thought associated with the writings of Jacques Derrida” (Griffiths, 2000, p.79). Deconstruction is broadly defined as a practice of ‘undoing’; thus in fashion apparel deconstructionism is that which liberates the garment from functionality by means of destroying its design form and structure.
36 Pages(9000 words)Dissertation
The first documentary in the animal attraction series is a short film about the life of honey bees. The director makes use of an unusual costume and speech style. The costume design is most likely an attempt to catch and hold the viewer's attention, but the actual effect of the costumes is to give the documentary a slightly cheap, unfinished, and overall “cheesy” feel.
3 Pages(750 words)Essay
Analysis of Pre-school in Three Cultures
This analysis is based on the video produced as the result of a collaborative research effort by Dr. Joseph J. Tobin, along with three other subject specialists. The research is funded by East-West Center, National Institute of Mental Health, University of Hawaii. Dr. Tobin is a human development specialist in Japan and has been working in Department of Family Studies, University of Hampshire.
4 Pages(1000 words)Essay
Included in the description
Three pre-schools, one each from Japan, China and United States, were selected and a regular day at each pre-school was shot as unobtrusively as possible. Then these videos were shown to students, teachers, administrators and parents in the same schools. As they saw the video, their “reactions and explanations” were recorded, again on video.
4 Pages(1000 words)Research Paper
3D Printing in Architecture depends on Tessellation
Many of these techniques help the architects to present their ideas through designing software and programs such as the CAD techniques. As the trends have changed, the architecture processes are now more dependent upon techniques such as tessellations.
8 Pages(2000 words)Essay
The Mosque of Selim II in Edirne
Four tall, slender, three-balconied minarets point to the heavens at the corners of this dome. The other buildings include a school, a library, and a theological college, which are not museums and they blend perfectly with the mosque. This UNESCO World heritage site is created with symmetrical repetitions, from the four minarets to the layout of the domes and half domes and finally the decorations inside and outside ("Mosque of Selim (mosque, Edirne, Turkey) -- Encyclopedia Britannica.").
7 Pages(1750 words)Research Paper
New York Fashion Week
This paper talks about fashion week in New York. New York Fashion Magazine (2009) advised us what are the emerging trends for fall 2009. New patterns appear. “Solid colors give way to a joyful tangle of paisleys, florals, and flourishes of abstraction. The fashion week is at the Lincoln Center complex, home to the Metropolitan Opera house.
1 Pages(250 words)Essay
Studying Abroad
Personal growth and academics are significant success aspects during school years. They help an individual to grow in all areas of life such as socially, mentally, spiritually, and physically. I believe that studying abroad will contribute to both aspects. My interest to learn Japanese language and culture commenced in high school.
2 Pages(500 words)Admission/Application Essay
Select 2 examples of architecture that best reflect the architectural styles. It is preferable that you choose one western ans one non western example
City Center Doha is a great architectural work. It is a main project that has had continued construction development projects. Continued project are being carried out to develop major hotel towers to connect with City Center as one of the largest
3 Pages(750 words)Essay
A Woman Saving the Nation, from the series The Taiheiki Chronicle
For example, at one time the Japanese workmanship was under a substantial impact of remote thoughts while, at the other, the fine art was simply because of their local contemplations and thoughts with no
2 Pages(500 words)Essay
sponsored ads
We use cookies to create the best experience for you. Keep on browsing if you are OK with that, or find out how to manage cookies.
Let us find you another Math Problem on topic Origami for FREE!
Contact us:
Contact Us Now
FREE Mobile Apps:
  • About StudentShare
  • Testimonials
  • FAQ
  • Blog
  • Free Essays
  • New Essays
  • Essays
  • Miscellaneous
  • The Newest Essay Topics
  • Index samples by all dates
Join us:
Contact Us