Top Wallpaper Patterns (5 of 5)

Posted by Nishon R. In Shapes of Space Blog (September 13, 2014)

Description:
By Sophia Darby (September 16, 2014)
"The wallpaper pattern can be evaluated in terms of the repetition of the blue square. The square can be rotated 90 degrees, and reflected in four directions at the axis point where the blue lines intersect. Therefore, it is classified as p4m."

Corrections:
By Paige and Brendan
Since this shape is not a exact square but a parallelogram, there is no 90 degree rotation, only 120 degree rotation. There is still reflection in two directions, horizontally and vertically. The rotation centers are at the center of the parallelograms (where the blue lines cross), which is also where the reflection lines are. This is a pmm wallpaper pattern.

http://math125fall2014.blogspot.com/2014/09/sheet-pattern.html#comment-form

Top 5 Wallpaper Posts (4 of 5)

Picture (Source): astockly

Description (Source): Kyle McNicoll

"A wallpaper style pattern is a pattern that extends indefinitely both vertically and horizontally or in other words, two directions. This type of pattern can have up to 17 different classifications. This specific pattern is designated, as PMM because it’s smallest possible rotational pattern is 180 degrees. The pattern also has reflections in two directions and all of the rotational points fall on a reflection line." 

Edits by Kelsey Goodwin: Additionally this pattern has glide reflection because the pattern reflects over an axis and is then translated to the one side. 

Link:  http://math125fall2014.blogspot.com/2014/09/wallpaper-pattern_63.html#comment-form

Top 5 Wallpaper Patterns (3 of 5)

Posted by AvaM at 2:54 PM 
Lily A.September 15, 2014 at 8:32 PM

This wallpaper pattern is a cm classification. There are no rotations. There are vertical reflection lines between each semicircle down through the middle of the second row semicircles and back between the semicircles in the third row. There are also glide reflections in lines that are not reflection lines. That is, the semicircles are glide reflected from the first row onto the third row of the pattern but the staggered second line prevents it from being on a reflection line. Therefore,  the pattern is cm.

http://math125fall2014.blogspot.com/2014/09/wallpaper-pattern_6.html#comment-form

Top 5 Wallpaper Patterns (2 of 5)

Posted by Molly S. In Shapes of Space Blog (September 14, 2014)

Description:

By: Paige B. (September 16, 2014)

"In this wallpaper pattern there is a 90 degree rotation. The rotation point is at the center meeting point of four of the square corners. There is also reflection in four directions (horizontal, vertical and both diagonal) making this a p4m wallpaper pattern. "

Link: http://math125fall2014.blogspot.com/2014/09/wallpaper-pattern_86.html#comment-form

Top 5 Wallpaper Posts (1 of 5)

Picture (Source): Kaitlin M.

Description (Source): Nishon R.

"This wallpaper pattern has a minimum rotation of 360 degrees. It also has a vertical reflection but a glide reflection as well. The glide reflection occurs on an axis which is not a reflection axis. The notation is Cm."

Link:  http://math125fall2014.blogspot.com/2014/09/post-5-wallpaper-pattern.html#comment-form