Name that Solid

Geometry Level 2

Which Platonic solid is this?

Image Credit: en.wikipedia.org
Tetrahedron Cube Octahedron Dodecahedron Icosahedron Sphere None of the above

Geoff Pilling by Geoff Pilling , 53, USA

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2 solutions

Michael Mendrin
May 30, 2016

I counted 24 24 faces on the picture of the polyhedron. No regular Platonic solid has 24 24 faces, and it doesn't look smooth enough to be a sphere. Ergo, "It can't possibly be anything listed here!"

8 Helpful 1 Interesting 1 Brilliant 0 Confused

I right clicked the image and selected 'search Google for this image' :-)

Department 8 - 5 years ago

Ah yes... Good observation! :^)

Geoff Pilling - 5 years ago
Geoff Pilling
May 30, 2016

You can see one vertex where six triangles come together, which doesn't happen in any of the platonic solids. What is pictured here is actually a pentakis dodecahedron. So it is None of them \boxed{\mbox{None of them}}

7 Helpful 0 Interesting 0 Brilliant 0 Confused

Yes, it is a pentakis dodecahedron and not truncated pentakis dodecahedron ( image ) you mentioned earlier.

Chew-Seong Cheong - 5 years ago

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You are right, Chew-Seong... I updated my answer! :)

Geoff Pilling - 5 years ago

What we call if it having 12 sides

Nikhil Buttoski Jay - 2 years, 5 months ago

A dodecahedron

Geoff Pilling - 2 years, 5 months ago

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