Origami Truncated Icosahedron
Created by servesmasher via flickr.
Origami truncated icosahedron. It should look like this from underneath. A modular truncated icosahedron with the hexagons divided into 6 triangles. It has 12 regular pentagonal faces 20 regular hexagonal faces 60 vertices and 90 edges.
Modular origami is a technique that can be used to build some pretty interesting and impressive models of mathematical objects. If you use origami paper make sure the pattern side is outside and will be visible later step 3 unfold the previous fold. Step 1 start with a single sheet of square paper with each side measuring approximately 3 inches about 7 5 cm step 2 fold it in half and make a crease along the fold.
But we ll be using a simple 6 color scheme that creates equatorial bands in 6 different directions. It is also the shape of the buckminsterfullerene molecule carbon. The truncated icosahedron has 32 faces pentagons and hexagons 60 vertices and 90 edges.
It is the goldberg polyhedron gpv or 5 3 1 1 containing pentagonal and hexagonal faces. This is a model that benefits from using stiff heavy paper stock. In modular origami you combine multiple units folded from single pieces of paper into more complicated forms.
That being said it can be made from regular kami. This geometry is associated with footballs typically patterned with white hexagons and black pentagons. I made it as part of my dissertation.
The same shape can also be described as a truncated icosahedron whose each face has been replaced with a pentagonal or hexagonal pyramid bearing a triangular pyramid on each face. The sonobe unit is a simple example unit from modular origami that is both easy to fold and compatible for constructing a large variety of models. So now take and form a ring of 6 pyramids connected to the five from the last step.
It is the shape of a football the most famous polyhedron in the world. Modular origami and polyhedra folded by michał kosmulski modular origami how to make a truncated icosahedron pentakis how to make origami icosahedron truncated origami truncated icosahedron and polyhedrons. A truncated icosahedron is formed by taking 12 pentagons and completely surrounding each of these by a ring of 5 hexagons.
This icosahedron has 9 triangular pyramids pointing inwards on each face. Connect another ring of 6 to the ring of 5. Posted by admin june 5 2020 posted in origami post navigation.
In geometry the truncated icosahedron is an archimedean solid one of 13 convex isogonal nonprismatic solids whose 32 faces are two or more types of regular polygons.
