PROJECT SUMMARY

A saying says that math exists in everything. I decided to explore the hidden secrets of the right triangle and try to put the pieces together to form a masterpiece of art. I made a unique showpiece combining both mathematical calculations and elements of art. I used the Pythagorean Theorem to construct right triangles in a spiral, and decorated in and around them. In the end I created a Pythagorean spiral that resembled an ammonite and had  an intricate design. 

WHY?

I did this project to connect different subjects: geometry and art. I was trying to apply math concepts to other fields of study. My question was: How can the Pythagorean Theorem be utilized to create art?

HOW?

First, I measured the predicted dimensions of my spiral and drew a dot in the center of the paper to be the rotating point. Next, I drew several right triangles all using that point as a common vertex and made the hypotenuse of one triangle the side of the next one. Notably, I calculated the lengths of the sides beforehand. I created 17 triangles for one spiral revolution around the point. Finally, I drew a wide variety of patterns and graphics within the triangles, and designed tentacles for the spiral "shell" to resemble an ammonite. 

WHAT?

I found out that my Pythagorean spiral looks like part of the Golden ratio. My prototype uses right triangles based on the Pythagorean Theorem to gradually increase in size and revolve around a single point to create a spiral; they are filled with colors. I used the Pythagorean Theorem to find for the hypotenuse and sides of the triangles and wrote them down in advance, then drew on the paper, to prevent errors and more accurately transfer my calculations onto the paper into art. However, I discovered that humans aren't perfect and that it is nearly impossible to draw flawless triangles and fit them in a spiral revolution nicely.

SO WHAT?

My results are important because they display that Geometry is essential for good art skills. They mean that shapes form the basis of objects. I can learn from my results that it is crucial to thoroughly plan through a project before executing the steps to completing it. 

WHAT'S NEXT?

I could have made a different artistic design for my Pythagorean Spiral. I could've also adjusted the direction it is facing. I can improve my project by drawing my triangles in a more accurate way and using different texture. The next steps are adding a background or cutting the Pythagorean Spiral out.

REFERENCES & ACKNOWLEDGMENTS

I got my ideas from Desmos, and did original calculations. I used a reference image from Google images. I want to thank Mr. Gulliford for supporting me, encouraging me, and helping me get through challenging steps.

JUDGES FEEDBACK

Woww! What an amazing piece of Art. I am so glad to see that you were able  to show how math can be part of Art, that science and art can be convinded and we need to have both. I was wondering about the different pictures inside and what they represent as a whole. I am looking foward to seeing more of your art creating in the future.