Origami Memorials

Hi All!

So in Japan origami cranes have a ton of significance, as you saw with Riley’s post. My mom and I visited the 9/11 Memorial in New York City two years ago and were taken aback by tons and tons of cranes on their walls and ceilings lined with origami cranes sent by Japanese school children. OrigamiUSA alone received over 18,000 in the weeks and months after the World Trade Center attacks. Those Cranes were distributed to fire houses and schools that were affected in the lower Manhattan area.

“In Japanese popular culture, the “Thousand Origami Cranes” — Senbazuru or Zenbazuru — has come to reference world peace through the poignant story of Sadako Sasaki, a girl who contracted leukemia as a result of radiation from the U.S. atomic bombing of Hiroshima during World War II. Based on ancient Japanese legend, anyone who folds 1,000 paper cranes will be granted a wish by the crane honored in origami form. Wishing good health, Sadako began to fold the cranes after her diagnosis, but only made 644 before she died. Her classmates folded the remaining cranes, which were then buried with her. In 1958, a statue of Sadako holding a golden crane in outstretched hands was erected in Hiroshima Peace Park, with the inscription, “This is our cry, this is our prayer; peace in the world.”In a letter to Nino Vendrome of Nino’s restaurant, the Japanese class wrote, “We folded our cranes with the same wish in mind, and thought it fitting to place the cranes in New York.”

https://www.911memorial.org/blog/japanese-school-children-fold-1000-origami-cranes-sign-peace  

 A statue of Sadako in Seattle, Washington, covered with origami cranes.

The original Sadako statue in Hiroshima.

 A Sadako statue in a peace garden in Wales.

 Another Sadako statue in Salt Lake City, Utah

 Independence, Missouri

There are nearly a dozen more around the U.S.!

Here’s instructions on how to make your own! https://origamiusa.org/files/traditional-crane.pdf

Origami Street Art

Like those who have posted below me, this post is going to be about origami.  I enjoyed the activity we did in class on Thursday, even if it was actually super difficult getting those pieces to fit together and make perfect folds on one piece of paper.  This inspired me to think bigger, more inventive ideas of origami.  Upon a search on Google, I found origami street art, and more specifically, Mademoiselle Maurice.

  1. Mademoiselle Maurice makes her art in the streets instead of museums, and the art she creates is amazing.  She started her life as an artist after the 2011 Japan earthquake, and here is a link to her website. http://www.mademoisellemaurice.com/en/creations/spectre-bis-repetita/
  2. Here is a link to one post I found on a piece of art in France. Pictures are below if you don’t wish to read the article.  http://www.thisiscolossal.com/2013/06/new-origami-street-art-in-angers-france-by-mademoiselle-maurice/ Not just an art for Mademoiselle Maurice, origami street art is reaching other audiences too.  In 2015, a wall in Romania was covered with origami structures to promote the no hate movement.This concept to street origami art is similar to stain glass windows- they share similar patterns and color schemes.  More and more street artists are exploring this style of math and art, brightening up Europe and Asia in particular.

Complex Origami

One of the things that appealed to me the most this week was when we practiced origami. I’ve never really been all that interested in origami so of course I thought it was probably really easy most of the time and didn’t require as much thought and precision as it really does. It’s so important and popular that during my research I found out that there is an origami competition held every two years in Japan. I did some research and found out that one of the three largest origami cranes in the world was constructed by Akita Japan residents and had a wingspan of 206.7 feet!

Obviously there is the lesser complex origami like what we did in class, but there are also super complex and incredibly complicated designs out there. The video I included the link to shows the top 10 most complex origami in the year 2014. I’m sure things have changed since then but while you watch I think it would be cool to just think about the precision and accuracy that has to go into this to make it look so realistic.

Here’s the link: https://www.youtube.com/watch?v=uoBzal8hNFU

One Thousand Origami Cranes

During class on Thursday we spent the majority of our time putting together origami pieces of art!  We started small by folding a pyramid, then put our efforts together to create an origami platonic solid.

This made me start to think about the significance that origami structures actually hold in other cultures.  After some research, I discovered a very interesting purpose for origami in Japanese culture.  In Japan, it is said that if a person is to possess one thousand paper cranes and string them together, they will be gifted a wish from the gods.  Common uses of this wish include infinite good luck, good health, and eternal happiness.

In Japan, Cranes are seen as mystical creatures much like dragons.  They are said to live for a thousand years, which is why they are strung together in pairs of 1000, there’s one crane for each year!  They are a popular gift at times of new beginnings.  At weddings they are given to the couple to wish them a good life, and to families when they have a child.  Sometimes people just hang them up in their house as a sign of good luck! Here’s some pictures of 1000 paper cranes

Archimedean Solids

Archimedean solids, like Platonic solids, must be convex figures, but they are not exactly the same as Platonic solids. Archimedean Solids are the convex polyhedra that have a similar arrangement of nonintersecting regular convex polygons of two or more different types arranged in the same way about each vertex with all the edges the same length. Archimedean solids are convex figures that can be made up of two or more types of regular polygons. All edge lengths of the polygons must be equal, and all of the vertices must be identical, meaning the polygons that meet at each vertex do so in the same way.

Here are some examples of Archimedean Solids:

 

Please check out the link below for more information: 

https://mathigon.org/origami#

The Power of Infinity

I’ve pondered my final project for awhile now and after changing my decision multiple times, I’ve landed on doing my project on the history of infinity. I won’t go into my notes on what this topic is due to my presentation explaining that but I will explain why I chose this topic. I’ve always loved the idea of infinity. As a child, I remember being asked what infinity + 1 would equal and thinking for days. Of course, infinity isn’t a real number so it cannot be added, subtracted, multiplied or divided by any real numbers but I remember this as being my first time I spent time on math when I didn’t need to. Infinity was taught to me as such a large and inconceivable number that it fell outside all logic math put together. This amazed me as a child and I’ll be honest, still amazes me today. To think that infinity cannot exist yet is talked about all the time is fascinating to me. I love thinking of infinity as zero’s counterpart in the sense that they are both numbers made outside of complete logic to help explain nothing and everything respectively.

What if a polygon has 179 degree angles?

During class on Thursday, we talked for a moment about the angle measurements for numerous shapes, such as hexagons and octagons.  We did an activity where we had to find out the angle measurements of a pentagon using triangles, with the knowledge that there is 180 degrees in a triangle.  I heard chatter about the maximum degrees of an angle, which inspired this post’s main question: How many sides are on a polygon with 179 degree angles?

After some research online, I discovered that we can find the measure of the exterior angles if we have the measure of the angles.  To do this, just subtract the angle measurement (179) from the straight line measurement (180).  This leaves us with 180-179=1 .  If each exterior angle represented a 1 degree shift, then to meet back at the starting point, there would have to be 360 sides on the polygon! Isn’t this nuts here’s an example of what it looks like:

The Pattern of Fire Emblem

Since this week’s topic includes wallpaper patterns, of course I’m going to share the pattern from one of my favorite video games! This one is featured when you load into Fire Emblem: Awakening. For those who don’t know, Fire Emblem is a turn-based strategy game made by Nintendo.

Now I’ll take a look at this intricate design. There is a vertical reflection, but no horizontal or half-turn symmetry. I say f3 on this one.

Now for round 2: the FE: Fates Wallpaper that appears at the beginning of each map.

I really was lost on this one. There are some point where you clearly see a vertical reflection, and others where you can clearly see a glide reflection, but neither are continuing throughout the design on the outside. f1? What are your thoughts?

Sources:

https://wall.alphacoders.com/big.php?i=712477

https://wall.alphacoders.com/big.php?i=712484

 

 

 

Wallpaper Patterns on Tapestries

I’ve always been obsessed with tapestries whether they are authentic fabrics from other countries or just ones that you can buy off of Amazon. I have a black and white tapestry in my room above my bed that I just love, and it was on sale so I had to get it.

In the picture above is the design in the center of my tapestry.  It is dihedral and can rotate around the center 16 times from what I can count here, because I wasn’t sitting there counting the pattern in my room in my free time.

As you can see here, there is rotational, horizontal, and vertical symmetry here.  This is the pattern surrounding the main design on the inside.  It repeats over and over again all throughout the outside.

If you’d like to learn more about how tapestries are made, I’d advise you to check out this website. Enjoy!

https://www.metmuseum.org/blogs/now-at-the-met/2014/making-a-tapestry

Real World Symmetry

I was thinking about what I could post about this week and decided to try and find some cool pictures of symmetry in photography. While I was looking I found this really interesting picture of a tower that has most of the types of symmetry in it.

While also just being a cool picture, this tower has both types of reflective symmetry, over the horizontal and vertical axis. It also has 180 degree rotational symmetry. The power lines at the top of the tower threw me off a little bit because I thought they broke the symmetry, but it seems like even they are symmetrical. I just thought this was a pretty cool picture and wanted to share it with you all.