Patriotic Necklaces for the 4th of July

We are expecting to deal with Hurricane Arthur this year on the 4th of July. Our original plans were to go to my parents on Thursday and go to their town's parade on Friday and fireworks on Saturday. Between the weather reports and Hazel and I both feeling a little under the weather, we changed our plans. So Hazel asked if we could have a cook-out for the 4th. I told her we were expecting lots of rain, so a cook-out was not going to happen. Next she asked if we could have an indoor picnic. This I agreed to as long as she picks up her toys so Daddy can vacuum and we have room in the family room to actually have our picnic. Next she asked if we could pull out all the patriotic decorations we have made for past 4th of July parties. This I agreed to as well with the same condition.

We did make a craft for this year as well. I was inspired by Buggy and Buddy: 4th of July Craft for Kids: Patriotic Necklaces. I cut up some red striped straws and some blue ones since we had them. We also bought a package of red, white and blue star buttons. Then we used whatever red, white and blue beads we could find. Our original idea was we would wear these to the parade, however since we are not going, we will just wear them for the day. We made three of them thinking we would be with my nephew for the parade.

I made this one using both holes of the buttons to pass the string and using three large buttons as the pendant.

Hazel made this one trying some sort of pattern of stars and straws. She asked me to put one of the stars on with both holes used after seeing mine.

This was my first one. I was trying to use what we had to make it similar to the one on Buggy and Buddy. Then I added my own twist to it.

For Memorial Day we did a patriotic round-up of our past decorations and things. Click on the picture to see the round-up. 

We also shared some books and crafts for Flag Day. Again click on picture above to see this post. 

For all of our American readers, we wish you a very Happy Independence Day!!

Frozen Fractals Lesson 2 and Olaf Craft

Last week I gave you an introduction to fractals in response to all the interpretations of frozen fractals from Disney's Frozen movie's song, "Let It Go." Today I thought I would continue my lesson on fractals. But first I wanted to share an easy craft to make an Olaf from the movie. Hazel got her Elsa and Anna dolls this week and she now wants the males so she can re-enact the entire movie. I told her we could make an Olaf. Looking at our supplies I came up with some styrofoam balls, a little bit of white and black Model Magic and some pipe cleaners (black and brown), googly eyes and an orange tear drop shaped foam piece. I cut the biggest and medium styrofoam balls in half and toothpicked them together. Then we used a small styrofoam ball and some of the white clay to make his head. We covered the other two balls as best we could with what we had left of the white clay. We did not have enough, but she didn't care. Then we used the black to form the buttons and mouth. I took a small piece of white for his tooth from the back. We added the brown pipe cleaners for arms and hair and then put the eyes on with tiny black pipe cleaner eye brows. The eyes and eye brows as well as the nose all needed to be glued on to get them to stick well.

Hazel is happy with how he turned out, so we will go with it. I will eventually get us some more white Magic Model to finish his bottom part and add the legs.

Now onto fractals. Last week we looked at the Koch Snowflake since we are talking frozen fractals. But I was thinking I should explain why study fractals besides to know what they are from a line in a song. Fractals are a very new thing in the math world. However they are being used in so many places and have been around forever. Fractals occur in nature and always have. Mathematicians and scientists somewhat ignored them for a long time due to how complex the shapes looked. For years we have simplified our shapes to fit into our cookie cutter basic shapes: circle, square, triangle, rectangle, etc. However things like a fern are not a basic shape and when you simplify it to such you lose some of its elements.

"Barnsley fern plotted with VisSim" by DSP-user - Own work, using model written by Mike Borrello This chart was created with VisSim.. Licensed under CC BY-SA 3.0 via Wikimedia Commons.

As we learn more about fractals we are finding more uses for them. For those who remember Encyclopedia Encarta, the pictures on this CD were developed by programs written to make fractals similar to the wanted picture. Fractals are used in making movie backgrounds, video games as well as being explored in medicine. The lungs are now realized to be fractals as well as our blood vessels (veins and arteries). The more we learn about fractals in the human body the better our medical science will be.

"Thorax Lung 3d (2)" by AndreasHeinemann at Zeppelinzentrum Karlsruhe, Germany http://www.rad-zep.de - http://www.rad-zep.de. Licensed under CC BY-SA 3.0 via Wikimedia Commons.

We will talk today about one of the more basic fractals and one that is easy to create. I often had my geometry students create this fractal in different ways. It is a wonderful way to teach about measuring, as well as midsegments of triangles. We are going to make a Sierpinski Triangle or sometimes called the Sierpinski Gasket. To start you need a triangle. You can use any triangle. Most commonly used are equilateral triangles, but any will work.

Now the rule is to draw the three midsegments of the triangle. A midsegment is a line segment that connects the midpoints of two sides of triangle. Its properties are that it is parallel to the third side and its length is equal to half the length of the third side.

The final part of the rule is to remove the triangle formed by the midsegments. To remove it, we will color it in.

Now we continue to the next stage by doing the same thing for all the non-colored in (nonremoved) triangles.

Sorry for some reason I did not take a picture of Stage 2 with the triangles removed. We continue our rule for Stage 3.

Finally we have Stage 3 which is where I stopped since I was not feeling well and I was getting a bit of a headache. However you can see how the rule can be applied infinitely as with all fractals.

The Sierpinski Triangle is also a great fractal to explore self-similarity. In the one below you can see how each color represents a shape that looks like the whole.

"Sierpinski-rgb". Licensed under CC BY-SA 3.0 via Wikimedia Commons.


The one below is zooming into magnify the smaller parts of the Sierpinski Triangle to show its infinite range. 

"Sierpinski zoom" by Mariko GODA - Own work.
Licensed under CC BY-SA 3.0 via Wikimedia Commons.

Finally I want to share with you a Sierpinski Pyramid that we made in one of the summer classes I took at Yale. We made it by forming regular tetrahedrons from envelopes. I do not totally remember how now, but thought it was neat to share.

 A true Sierpinski Pyramid would have a hole in the middle, but that is not easy to construct in actual life. Here is one I found on-line.


"Sierpinski pyramid". Licensed under Public domain 
via Wikimedia Commons.

Finally if you want to learn more about fractals in nature and the importance of them, check out this video of the Yale professor, Michael Frame, who taught the courses I took on fractals. He ends it with a story about the amazing late Benoit Mandelbrot (last week I shared a picture of myself with Mandelbrot) and about how fractals are about storytelling as is most math and science. It is really worth watching. On that note a talk about fractals is not complete without looking at the Mandelbrot Set. The math involved is more advanced, however it is beautiful to look at.

"Mandelbrot set with coloured environment". Licensed under  
CC BY-SA 3.0 via Wikimedia Commons.

For some more on fractals check out:

• Happy Pi Day
• What Are Frozen Fractals?
• My Math Pinterest Board

Sock Animals

For Hazel's half birthday she received a sock animal kit. It included one sock, two buttons, a piece of batting and a copy of Socktastic!  The other day she decided she wanted to make some sock animals. We opened up the kit and looked through the book.

Popsicle Stick Fish Craft & More

Congratulations to Kristen P. for winning the Octunauts DVD!!

Today I am going to share a simple craft inspired by a craft kit at Oriental Trading. Since we had most of the supplies already, we did not order the craft kit. I showed Hazel the picture and let her get to work on it. She came up with the following picture.

All the craft sticks she had left in her craft supplies had glitter glue on them. After she made this, we found more colored craft sticks. I made another one trying to spread out the sticks more. I actually like hers better. I also added some foam spots on the ends.

Seeing mine, she wanted dots on hers, so she added them.

For this craft, we glued the sticks in the order we wanted them and added the heart for a mouth and an eye. Then added the dots.Today we will also share a couple of fun things from this past weekend. First look what we saw while waiting in line at the drive through at Starbucks on Saturday.

Of course once I was at a good place to take a picture and got my camera, the line began to move. I noticed a bird fly out of the nest which is what caught my eye to it. Then I pointed it out to Hazel. So fun!!

Then one of the teenagers at church made these amazing cupcakes for the Sunday School snack on Sunday. We are using a Jungle-Themed Vacation Bible School curriculum for the summer lessons and this week's animal was a giraffe. She said she found how to do it on-line. I am guessing she found them at Sugar Sugar: Giraffe Cupcakes!

Fairy Tales in Different Cultures: Petrosinella: A Neopolitan Rapunzel

Today we are going to discuss Petrosinella: A Neopolitan Rapunzel. It is the earliest version of a written Rapunzel story. I found two versions of the book at the library. Both are illustrated by Diane Stanley. One has Diane Stanley listed as the author and the other has Giambattista Basile, who is the original author. 

The stories are basically the same and are the same as the traditional story. The main difference being that the mother, named Pascadozzia in the Basile version, craved parsley and took it from her neighbor's garden. The neighbor was an ogress. She made the mother promise to give her unborn child to her. The child was born with a sprig of parsley in her hand in Basile's version and thus she was named Petrosinella which means parsley. Once Petrosinella was seven she began school and walked by the ogress' house. The ogress talked to her every day and told her to remind her mother of her promise. Finally the mother told Petrosinella to answer her with "Take it." The ogress took Petrosinella and locked her in the tower. One time with the ogress was out, Petrosinella put her hair down as she stuck her head out the little window. A prince who was returning to his parents' kingdom happened by and noticed the beautiful face and climbed up the hair. They talked and fell in love. He began to visit often at night while the ogress slept. He begged Petrsoinella to leave with him, but she refused even though she did not know why she refused. One day another ogress spotted the prince visiting Petrosinella and told her stepmother ogress. The stepmother ogress said she would put an end to the visits and that Petrosinella could never leave because she had a spell on her and needed the three acorns which were hidden in the rafters in the kitchen to break it. Petrosinella was listening so when the prince came that night she told him about the acorns and they searched and found them and left. However the ogress's friend saw them and made such noise that she woke the ogress. She quickly chased them. Sure they were going to be caught Petrosinella remembered the acorns and threw one onto the ground. A vicious dog appeared and went after the ogress. She however came prepared with bread. She continued her chase. The next acorn turned into a lion. The ogress found a mule skin to wear and tricked the lion. The third acorn became a wolf and the wolf ate her before she had a chance to trick it. The prince and Petrosinella were married and lived happily. In Stanley's version Petrosinella's mother was sent for the wedding. 

According to the information presented in Stanley's book,  Giambattista Basile published the original version of the story in 1637. It was in Neopolitan and it was hard to translate into English without a dictionary, but several versions were translated. She used a version by John Edward Taylor from 1847 and N.M. Penzer from 1932. For a full text version of the story on-line, visit SurLaLune Fairy Tales.

According to John K. Davis on this website there is also a connection to the legend of Saint Barbara. Saint Barbara was locked in a tower by her father to make sure she did not have an unworthy suitor. While he was away on business Barbara became to learn about the teachings of Christ and became a Christian. When her father returned and discovered this, he took her the Roman pro-consul who ordered her father to behead her. After beheading her, her father was struck down by lightning and consumed by fire.

The craft I shared is one Hazel and I made back in 2012. It is a toy of Rapunzel's tower and I shared it back in May 2012.

For more Rapunzel stories and other fairy tales, check out:

• Sugar Cane: A Caribbean Rapunzel
• My Rapunzel Pinterest Board
• My Fairy Tales in Different Cultures Series