4. Frieze Patterns (wallpaper borders) have patterns that repeat indefinitely in a single direction. It turns out that there are only 7 basic types. They are classified using translations, rotations, reflections, and glide reflections. The classification scheme consists of 2 symbols.

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter4: Polynomials
Section4.6: Multiplying Polynomials
Problem 6MRE
icon
Related questions
Question
4. Frieze Patterns (wallpaper borders) have patterns that repeat indefinitely in a single direction.
It turns out that there are only 7 basic types. They are classified using translations, rotations,
reflections, and glide reflections. The classification scheme consists of 2 symbols.
Examples:
11 JJJJJJJJ
1m
D D D D D D D D
m1
ΑΑΑΑΑΑΑΑ
mm X X X X X X X X
12 ZZZZZZZZ
1g
p b p b p b p b
mg p q b d p q b d
Translation only
Horizontal line of Reflection (& Glide Reflection)
Vertical line of Reflection
Both Horizontal & Vertical lines of Reflection, 180° Rotation, (&
Glide Reflection)
180° Rotation
Glide Reflection
Vertical line of Reflection, 180° Rotation, & Glide Reflection
Determine the classification code for each of the
following:
(a)
(b)
会会会会
*Σ; **
S+5+5+5
(c)
<3<3<3
(d)
Transcribed Image Text:4. Frieze Patterns (wallpaper borders) have patterns that repeat indefinitely in a single direction. It turns out that there are only 7 basic types. They are classified using translations, rotations, reflections, and glide reflections. The classification scheme consists of 2 symbols. Examples: 11 JJJJJJJJ 1m D D D D D D D D m1 ΑΑΑΑΑΑΑΑ mm X X X X X X X X 12 ZZZZZZZZ 1g p b p b p b p b mg p q b d p q b d Translation only Horizontal line of Reflection (& Glide Reflection) Vertical line of Reflection Both Horizontal & Vertical lines of Reflection, 180° Rotation, (& Glide Reflection) 180° Rotation Glide Reflection Vertical line of Reflection, 180° Rotation, & Glide Reflection Determine the classification code for each of the following: (a) (b) 会会会会 *Σ; ** S+5+5+5 (c) <3<3<3 (d)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer