Dodecahedron: Fill & Download for Free

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How to Edit The Dodecahedron quickly and easily Online

Start on editing, signing and sharing your Dodecahedron online following these easy steps:

  • Click on the Get Form or Get Form Now button on the current page to access the PDF editor.
  • Give it a little time before the Dodecahedron is loaded
  • Use the tools in the top toolbar to edit the file, and the added content will be saved automatically
  • Download your edited file.
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A simple guide on editing Dodecahedron Online

It has become quite easy lately to edit your PDF files online, and CocoDoc is the best online tool you have ever seen to make some changes to your file and save it. Follow our simple tutorial to start!

  • Click the Get Form or Get Form Now button on the current page to start modifying your PDF
  • Create or modify your text using the editing tools on the toolbar above.
  • Affter changing your content, put the date on and create a signature to bring it to a perfect comletion.
  • Go over it agian your form before you save and download it

How to add a signature on your Dodecahedron

Though most people are accustomed to signing paper documents by handwriting, electronic signatures are becoming more general, follow these steps to add an online signature for free!

  • Click the Get Form or Get Form Now button to begin editing on Dodecahedron in CocoDoc PDF editor.
  • Click on Sign in the tool box on the top
  • A popup will open, click Add new signature button and you'll have three choices—Type, Draw, and Upload. Once you're done, click the Save button.
  • Drag, resize and position the signature inside your PDF file

How to add a textbox on your Dodecahedron

If you have the need to add a text box on your PDF and customize your own content, follow the guide to get it done.

  • Open the PDF file in CocoDoc PDF editor.
  • Click Text Box on the top toolbar and move your mouse to drag it wherever you want to put it.
  • Write down the text you need to insert. After you’ve inserted the text, you can select it and click on the text editing tools to resize, color or bold the text.
  • When you're done, click OK to save it. If you’re not satisfied with the text, click on the trash can icon to delete it and take up again.

A simple guide to Edit Your Dodecahedron on G Suite

If you are finding a solution for PDF editing on G suite, CocoDoc PDF editor is a recommended tool that can be used directly from Google Drive to create or edit files.

  • Find CocoDoc PDF editor and set up the add-on for google drive.
  • Right-click on a PDF file in your Google Drive and choose Open With.
  • Select CocoDoc PDF on the popup list to open your file with and give CocoDoc access to your google account.
  • Edit PDF documents, adding text, images, editing existing text, mark with highlight, erase, or blackout texts in CocoDoc PDF editor before saving and downloading it.

PDF Editor FAQ

If you tile regular pentagons together to form a sheet, the sheet will not lie flat. What is the name of the non-Euclidean surface defined by this sheet?

You get this:That’s a regular dodecahedron, one of the five Platonic solids.Topologically, the surface obtained is a familiar one, as you can see: it’s a sphere.

What are uneducated but highly intelligent people like?

I dated a girl in high school whose father dropped out of school when he was 13. He worked for his father running his contracting company in all but name because he couldn’t pass the contractor license test because he was illiterate.One day, his younger daughter asked him to make a 12-sided box for her to put a present for my girlfriend in. As a player of pen and paper RPGs, I was familiar with the dodecahedron, but I wouldn’t have known how to make one.This man went into his garage, and using some cardboard, a utility knife, and some tape made a large (~16″ diameter) dodecahedron with a single side open to stuff the gift in. I think it took him less than an hour. It totally blew my mind.

Why did no one find Athreya's and Aulicino's theorem about the dodecahedron until now? What is clever about it?

No one was really looking, to be very honest about it. It’s a sweet little question and the solution is neat, but it’s not like geodesic lines on regular polyhedra are a central object of study for geometers. If you had posed the question decades ago to Coxeter or even Steinitz and they took it seriously, I am certain that they would have solved it within hours.

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