We consider the regular as well as semi-regular tilings of the plane by regular polygons where some of the polygons are triangular tiles. The degree of a vertex in the tiling is the number of polygons meeting at that vertex. What are the possible maximum and minimum degrees of vertex of a triangular tile? Maximum degree of a vertex of a triangular tile: Minimum degree of a vertex of a triangular tile:

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question
We consider the regular as well as semi-regular tilings of the plane by regular polygons where some of the polygons are
triangular tiles. The degree of a vertex in the tiling is the number of polygons meeting at that vertex. What are the
possible maximum and minimum degrees of vertex of a triangular tile?
Maximum degree of a vertex of a triangular tile:
Minimum degree of a vertex of a triangular tile:
Transcribed Image Text:We consider the regular as well as semi-regular tilings of the plane by regular polygons where some of the polygons are triangular tiles. The degree of a vertex in the tiling is the number of polygons meeting at that vertex. What are the possible maximum and minimum degrees of vertex of a triangular tile? Maximum degree of a vertex of a triangular tile: Minimum degree of a vertex of a triangular tile:
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,