55. Complete the summary table below for the regular solids, combining the results of Euclid with those from the previous page. You might look for interesting symmetries hidden among the entries on the chart – you can be sure the Greeks would have. No. of No. of Type of Vertices Edges regular n-gon (polygon) at each face (n) No. of No. of No. of No. of degrees in each face deg. in ea. polyhedral angle faces at Name of Solid Faces (F) (V) (E) each vertex (k) angle Tetrahedron Cube Octahedron Dodecahedron Icosahedron The Regular Solids' Tetrahedron Cube Octrahedron Dodecahedron Icosahedron

55. Complete the summary table below for the regular solids, combining the results of Euclid with those from the previous page. You might look for interesting symmetries hidden among the entries on the chart – you can be sure the Greeks would have. No. of No. of Type of Vertices Edges regular n-gon (polygon) at each face (n) No. of No. of No. of No. of degrees in each face deg. in ea. polyhedral angle faces at Name of Solid Faces (F) (V) (E) each vertex (k) angle Tetrahedron Cube Octahedron Dodecahedron Icosahedron The Regular Solids' Tetrahedron Cube Octrahedron Dodecahedron Icosahedron

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Concept explainers

Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.

Question

55. Complete the summary table below for the regular solids, combining the results of Euclid
with those from the previous page. You might look for interesting symmetries hidden among
the entries on the chart - you can be sure the Greeks would have.
No. of
No. of
No. of
No. of Type of
Vertices Edges regular n-gon
(polygon) at
each face (n)
No.
No. of
degrees in deg. in ea.
polyhedral
angle
faces at
of
Name of Solid Faces
(F)
(V)
(E)
each
each face
vertex (k) angle
Tetrahedron
Cube
Octahedron
Dodecahedron
Icosahedron
The Regular Solids
Tetrahedron
Cube
Octrahedron
Dodecahedron
Icosahedron

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