(4) Consider the vertex figures below: 3.3.4.3.4 3.3.3.4.4 3.12.12 4.6.12 3.6.3.6 3.3.3.3.6 3.4.6.4 4.8.8 (a) Show that the interior angles of the four polygons add to 360° (b) Explain why or why not this vertex figure can be extended to form a semiregular tiling of the plane.

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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(4) Consider the vertex figures below:
3.3.4.3.4
3.3.3.4.4
3.12.12
4.6.12
3.6.3.6
3.3.3.3.6
3.4.6.4
4.8.8
(a) Show that the interior angles of the four polygons add to 360°
(b) Explain why or why not this vertex figure can be extended to form a
semiregular tiling of the plane.
Transcribed Image Text:(4) Consider the vertex figures below: 3.3.4.3.4 3.3.3.4.4 3.12.12 4.6.12 3.6.3.6 3.3.3.3.6 3.4.6.4 4.8.8 (a) Show that the interior angles of the four polygons add to 360° (b) Explain why or why not this vertex figure can be extended to form a semiregular tiling of the plane.
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