Vertical Reflection Patterns Example Tripp Patterns

This pattern is a TRHVG. The pattern can be mapped onto itself by a translation, a 180 rotation, a reflection in a horizontal line, a reflection in a vertical line, and a horizontal glide reflection. Using Frieze Patterns in Real Life. Example Identifying Frieze Patterns The frieze patterns of ancient Doric buildings are located between

Vertical-Reflection, Horizontal-Reflection, 180-Rotation, Glide-Reflection After playing around with the Cayley graphs for the seven Frieze groups, it looks like some of them are actually isomorphic to one another. For example, Hop and Step both seem to be isomorphic to ,. Sidle and Spinning Hop seem to be isomorphic to one another, as well.

Rotation then a Vertical Reflection two motions, then T To generate an mg spinning sidle, pmg2, or RV Start with a rectangle that contains a motif. Rotate the rectangle 180o around a point on the centerline. Reflect the new two-part rectangle over a vertical side. Translate the new four-part rectangle to create a strip.

Goals p Use transformations to classify frieze patterns. p Use frieze patterns to design border patterns in real life. 7.6 VOCABULARY Frieze patternA frieze pattern is a pattern that extends to the left and right in such a way that the pattern can be mapped onto itself by a horizontal translation. Border patternFrieze patterns are also called

pattern coincides. Fold re ect on vertical axis. The pattern coincides. This frieze pattern is a re ection of itself when folded horizontally and vertically. 1 EXAMPLE Frieze Patterns When you look at a mountain by a lake, Actual mountain Reflection of mountain Axis you can see the re ection, or mirror image, of the mountain in the

If you choose a vertical reflection and a glide you automatically get a half turn accounting for two more combinations NYNY and NYYY. Although the resulting pattern will not look quite the same if you choose a half turn and a glide you automatically get a vertical reflection and a frieze pattern of the same type accounting for another combination NNYY, twelve out of sixteen so far.

Frieze Patterns Name A Candel CSUN Math 1. Frieze Patterns. vertical reection on a mirror line perpendicular to the direction of the frieze. R rotation by 180 degrees. for that introduces another rigid motion. For example, if you choose 2 reections one vertical and one horizontal then you get automatically a half turn

C. Wallpaper Patterns - In contrast to frieze patterns, which follows a certain direction horizontally, translation in wallpaper patterns can move in various direction within the canvas or plane D. Tessellations - Also known as tiling, tessellation is a pattern where shapes are repeated continuously, covering the plane without any gaps.

or by a reflection in a vertical line V. EXAMPLE 1 frieze pattern border pattern GOAL 1 Use transforma-tions to classify frieze patterns. Use frieze patterns to design border patterns in real life, such as the tiling pattern in Example 4. You can use frieze patterns to create decorative borders for real-life objects, such as the pottery below

Some examples of frieze patterns Since the patterns repeat, we show only a finite portion, but you should keep in mind that these pictures should extend infinitely far in both directions. The first is quotmquot if there is a vertical reflection, quot1quot if not. The second is quotmquot if there is a horizontal reflection, quotaquot if there is a glide reflection