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A Paper Pyramid Map of the Earth . A Tetrahedron wanting to be a Sphere!

First published 12 Oct 2015

Updated 14 July 2019

The site at progonos.com no longer exists. The tetrahedral earth maps that Carlos A. Furuti placed there are copyright by him and marked "Freely distributable if unchanged". I've added 3 images that I had previously downloaded to my website for anyone who wants to make one of Carlos's brilliant tetrahedral earth maps. Just right-click on an image to download it.

PDF File of the one I made

The pdf of the one I made is here

Original page content follows

This site has some remarkable downloadable "globes", some cubic, some icosahedral, and the simplest being tetrahedral, ie, a triangular based pyramid, with all faces being equilateral triangles.

www.progonos.com/furuti/MapProj/Normal/ProjPoly/Foldout/Tetrahedron/tetrahedron.html

Here are some quick tips on constructing it, intended for school kids.

Tools

• sharp scissors - the squeeze type called "Squissors" are the best, but any small, sharp scissors will do.
• white "PVA" type hobby glue is what I have found works the best.
• a bamboo kebab skewer is very useful, for spreading glue and also for pressing the glued surfaces together in the tight corners.
• you need something to "score" the fold lines. A sharp, hard pencil (H, or 2H, but an HB will do); an empty ball-point pen is even better, as it leaves no mark, just a nice smooth crease. You can also use the sharp point of the skewer.
  Here you can a ruler close to some fold marks, ready for scoring.
  
  I've scored the lines with an H pencil. Best to do this before any cutting.
  
  It helps to rough cut most of the card away, leaving a centimetre to 2 all around.
  
  This shows my Squissors.
  
  All cut out.
  
  The first fold done. Do this gently using your finger tips. For some folds it helps to place the model on a flat surface, like a table.
  
  All the folds are now done.
  
  It is important NOT to use too much glue. A thin line is all you need. Spread it out with a scrap of card, or the tip of a skewer.
  
  I've marked the first tab to glue with "A"s on the matching surfaces.
  
  First edge glued.
  
  Ready to glue the rest.
  
  And all done!
  
  Have fun!

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