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How many sides does a truncated dodecahedron have?

In geometry, the truncated dodecahedron is an Archimedean solid. It has 12 regular decagonal faces, 20 regular triangular faces, 60 vertices and 90 edges.

Who created the truncated dodecahedron?

As its name suggests, it is created by attaching three pentagonal cupolas (J5) onto three nonadjacent decagonal faces of a truncated dodecahedron.... Triaugmented truncated dodecahedronVertices75Vertex configuration4x3+3x6(3.102) 3+2x6(3.4.5.4) 5x6(3.4.3.10)Symmetry groupC3vDual polyhedron-7 more rows

How do I make a truncated icosahedron?

Truncated Icosahedron Step 1: V-Nailer/Underpinner. This project would have been difficult (but not impossible) without a v-nailer. ... Step 2: Shapes and Angles. A truncated icosahedron is made up of 20 hexagons and 12 pentagons. ... Step 3: Taking Shape. This part is really satisfying. ... Step 4: Assembled. ... Step 5: Finishing.

How many faces does a truncated dodecahedron have?

The Truncated Dodecahedron has 20 equilateral triangular faces, and 12 regular decagonal faces. The 20 triangles come from the 20 cuts that were made at each vertex and are added to the 12 original dodecahedral faces to make 32 total faces. There are 60 Vertices and 90 Edges.

What are the angles of a dodecahedron?

A regular dodecahedron or pentagonal dodecahedron is a dodecahedron that is regular, which is composed of 12 regular pentagonal faces, three meeting at each vertex.... Regular dodecahedronDihedral angle116.56505° = arccos(\u22121\u2044\u221a5)5.5.5 (Vertex figure)Regular icosahedron (dual polyhedron)Net14 more rows

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How do you make a truncated dodecahedron?

1:42 3:12 Truncated Dodecahedron - YouTube YouTube Start of suggested clip End of suggested clip And in order to do a proper truncation to get an Archimedean solid. We must subdivide each edge intoMoreAnd in order to do a proper truncation to get an Archimedean solid. We must subdivide each edge into three equal parts about like that notice that this was a Pentagon.

What are the angles between faces of a dodecahedron?

Table of polyhedron dihedral angles NameSchläfli symboldihedral angle \u2013 exact in bold, else approximate (degrees)Platonic solids (regular convex)Octahedron{3,4}109.471°Dodecahedron{5,3}116.565°Icosahedron{3,5}138.190°47 more rows

How do you draw a Platonic solid?

0:04 7:10 12.1 Drawing three Platonic Solids - YouTube YouTube Start of suggested clip End of suggested clip Three of our platonic solids. And we like the cube. So much we're going to draw it twice. We'reMoreThree of our platonic solids. And we like the cube. So much we're going to draw it twice. We're going to draw it is an oblique any perspective cubed now I'll go a little faster.

How do you draw a regular dodecahedron?

0:10 1:31 My first polyhedron and then I'm gonna add some lines to it and I'm gonna do it on these three sidesMoreMy first polyhedron and then I'm gonna add some lines to it and I'm gonna do it on these three sides actually little lines on all five sides this will make it easier to draw your dodecahedron.

What shapes make up a dodecahedron?

A regular dodecahedron or pentagonal dodecahedron is a dodecahedron that is regular, which is composed of 12 regular pentagonal faces, three meeting at each vertex. It is one of the five Platonic solids. It has 12 faces, 20 vertices, 30 edges, and 160 diagonals (60 face diagonals, 100 space diagonals).

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