Get Started by Finding a Local Center
Results based on location:
Ashburn 0.93 mi
43330 Junction Plaza
#160
Ashburn, VA 20147
Sterling 4.07 mi
44 Pidgeon Hill Drive
#100
Sterling, VA 20165

# What is Symmetry in Math?

Mar 30, 2022 | Location Cedar Park

“Symmetry is a vast subject and has significance in art and nature. Mathematics lies in symmetry’s root, and it would be very hard to find a better one on which to demonstrate the working of the mathematical intellect.”

-Hermann Weyl

Symmetry is a concept that states that when we move one shape, such as turning, flipping, or sliding it, it becomes identical to the other.

“Symmetry” comes from the Greek word, which implies “to measure together.”

When two parts of anything are identical, they are symmetrical. Drawing a mirror line through the middle of a figure and observing if both parts are similar is how you check to see if it is symmetrical. Some great examples of symmetry in nature are starfish, peacocks, turtles, sunflowers, honeycombs, snowflakes, rainbows, etc. A figure is asymmetrical when two or more identical pieces face each other or revolve around an axis.

## The Four Types of Symmetry

1. Translational Symmetry: Translational symmetry is where a figure or an image is translated at a set distance in the same direction as the original. The spaces between points, angles, sizes, and shapes of the figure will not change. The only thing that changes is its location. You may move it right or left. You may move it up or down. You may move it through a combination of these two, but these are the only possibilities.

2. Rotational Symmetry: Rotational Symmetry, also known as radial symmetry, is where a shape or an image looks precisely similar to the original form or image after some rotation. We count rotational symmetry by the number of turns it takes, also referred to as order, for a shape to look the same. For example, a rectangle has an order of 2, and a five-point star has an order of 5. You can find rotational symmetry naturally in sea stars, jellyfish, and sea anemones. It also appears in human-made objects like airplane propellers, Ferris wheels, dartboards!

3. Reflectional Symmetry: Reflection symmetry is also known as line symmetry or mirror symmetry. One half of the image or picture reflects the other half. The line which a reflection takes place over is known as the line of symmetry. It’s also important to note that some shapes can have multiple lines of symmetry. Take a square, for example - you can draw four lines of symmetry on a square—one horizontally across the middle, one vertically down the middle, and two going diagonally each way.

4. Glide Reflection Symmetry: Glide Reflection Symmetry is best thought of as a hybrid between reflection and translational symmetry. It is a type of symmetry where the figure or image looks precisely the original when it is reflected over a line and then translated at a given distance in a given direction. The footprints trail is one of the best examples of Glide Reflection Symmetry.

This type of symmetry involves both processes but in a specific order; reflection over a line and translation along the line. A shape must first be reflected and then translated in any direction for glide reflection to have taken place.

As in translational symmetry, glide-reflectional symmetry exists only for infinite patterns.

Symmetry is an exciting topic of study. It involves the integration of math and art, which allows for a beautiful showcase of the visuals that numbers can produce. We find symmetry in objects like our reflection in the mirror, a butterfly’s beautifully patterned wings, and traffic stop signs. Most things that we see daily have some form of symmetry or balance. Asymmetrical objects also exhibit underlying symmetry principles through subtle patterns that are not immediately visible to the naked eye.

So next time you’re outside, see if you can find some numbers hard at work making nature as beautiful as it is!

##### Locations near
ME
Ashburn 0.93 mi
43330 Junction Plaza
#160
Ashburn, VA 20147
Sterling 4.07 mi
44 Pidgeon Hill Drive
#100
Sterling, VA 20165
Leesburg 5.69 mi
521 E Market St
#B
Leesburg, VA 20176
Herndon 7.66 mi
#J2
Herndon, VA 20171
Stone Ridge 7.88 mi
42020 Village Center Plaza
#100
Stone Ridge, VA 20105
Reston 8.62 mi
1424 North Point Village Center
Reston, VA 20194
Purcellville 12.72 mi
1020 E Main St
Ste L
Purcellville, VA 20132
North Potomac 13.58 mi
12150 Darnestown Rd
Gaithersburg, MD 20878
Centreville 14.52 mi
5959 Centreville Crest Ln
Centreville, VA 20121
Fairfax 14.67 mi
11891 Grand Commons Ave
Fairfax, VA 22030
Potomac 14.98 mi
#B
Potomac, MD 20854
Germantown MD 15.03 mi
Germantown, MD 20874
Tysons 15.45 mi
328 Maple Ave E
#A
Vienna, VA 22180
Haymarket 17.87 mi
15125 Washington St
Haymarket, VA 20169
Rockville 18.19 mi
20 Courthouse Square
#106
Rockville, MD 20850
Mclean 18.23 mi
Suite #190
McLean, VA 22101
Gaithersburg 18.71 mi
9132 Rothbury Drive
Gaithersburg, MD 20886
North Bethesda 20.42 mi
5268 Nicholson Ln
#N
Kensington, MD 20895
Falls Church 20.59 mi
6674 Arlington Blvd
Falls Church, VA 22042
Manassas 20.65 mi
9722 Liberia Ave
Manassas, VA 20110
Bristow 20.71 mi
12705 Braemar Village Pz
Bristow, VA 20136
Burke 20.82 mi
9411 Old Burke Lake Rd
#C
Burke, VA 22015
Bethesda 21.3 mi
4918 Fairmont Ave
Bethesda, MD 20814
Annandale 21.64 mi
7000 Columbia Pike
Annandale, VA 22003
Damascus 22.77 mi
9815 Main St
Damascus, MD 20872
Arlington, VA 23.29 mi
4801 1st St N
Arlington, VA 22203
Cathedral Heights 23.51 mi
3706 Macomb St NW
Washington, D.C., DC 20016
Olney 23.96 mi
18157 Village Center Dr
Olney, MD 20832
Downtown Silver Spring 24.94 mi
1133 East West Highway
Silver Spring, MD 20910
Lorton 25.06 mi
9027 Silverbrook Rd
#A
Fairfax Station, VA 22039
West Washington 25.69 mi

Washington, DC 20009
Alexandria City 25.7 mi
4605 Duke Street
Alexandria, VA 22304
Lake Ridge 26.5 mi
12473 Dillingham Square
Lake Ridge, VA 22192
Frederick North 26.7 mi
905 W. 7th Street
Frederick, MD 21701
Northern Silver Spring 26.75 mi
732 Cloverly Street
Silver Spring, MD 20905
Alexandria 27.17 mi
6483 Old Beulah Street
Alexandria, VA 22315
Warrenton 27.42 mi
512 Fletcher Drive
Warrenton, VA 20186
Mount Airy 28.24 mi
411 E Ridgeville Blvd
Mt Airy, MD 21771
Capitol Hill DC 28.48 mi
621 Pennsylvania Ave SE
1st-floor unit
Washington, DC 20003
Dale City 28.99 mi
5512 Staples Mill Plaza
Dale City, VA 22193
Mount Vernon 29.66 mi
7696 H Richmond Hwy
Alexandria, VA 22306
Beltsville 30.89 mi
10914 Baltimore Ave
#B
Beltsville, MD 20705
Clarksville 31.56 mi
12250 Clarksville Pike
#D
Clarksville, MD 21029
Laurel 35.02 mi
10095 Washington Blvd N
#136
Laurel, MD 20723
Woodmore 35.27 mi
9101 Woodmore Centre Drive
Lanham, MD 20706
Glenn Dale 35.83 mi
10559 Greenbelt Rd
Lanham, MD 20706
Sykesville 36.57 mi
1207 Liberty Rd.
#D-104
Sykesville, MD 21784
Ellicott City 37.11 mi
3290 Pine Orchard Lane
#B
Ellicott City, MD 21042
Winchester 37.62 mi
2512 S Pleasant Valley Rd
Winchester, VA 22601
Columbia 38.19 mi
8827 Centre Park Drive
#F
Columbia, MD 21045
Stafford 39.58 mi
#104
Stafford, VA 22554
Bowie 41.26 mi
15231 Hall Rd
Bowie, MD 20721
Waldorf 42.24 mi
3022 Festival Way
Waldorf, MD 20601
Crofton 42.6 mi
1153 Route 3 North
#120
Crofton, MD 21054
Owings Mills 44.15 mi
9433 Common Brook Rd #100
Owings Mills, MD 21117
Pikesville 46.84 mi
1433 Reisterstown Rd
Pikesville, MD 21208
Dunkirk 49.92 mi
10735 Town Center Blvd
#7
Dunkirk, MD 20754