The Golden ratio by Pete Race

When I was 12 years old my mother remarried and we moved to a farm. Picture 1 When I was 12 years old my mother remarried and we moved to a farm. Picture retrieved from https://pixaby.com

Picture 2 My mother and step father shared a dream to breed and raise quarter horses. Picture retrieved from https://pixaby.com

Picture 3 The farm was heavily wooded so we removed the trees and converted the land to pasture. Picture retrieved from https://pixaby.com

We fell almost 10 acres of trees and sent them to the saw mill. Picture 4 We fell almost 10 acres of trees and sent them to the saw mill. Screen shot retrieved from https://www.youtube.com/watch?v=sejKGYL-4t0 Picture 5 Picture retrieved from https://pixaby.com

Picture 6 We used the lumber to build a barn. This was my first experience in creating with wood. Screen shot retrieved from http://implementsandmore.com/?product=stalls-gates-panels-feeders-tanks

Picture 7 The dimensions of the side of the barn were 24 feet wide by 15 tall. The ratio of the width to the height was 1.6, nearly equal to the Golden Ratio. Picture drawn using Sketchup Make

Picture 8 The golden RAtio The golden ratio is an irrational number where a line can be divided such that the long segment divided by the short segment is approximately1.618. Also, the sum of the lengths of the segments divided by the longer segment is approximately 1.618. (Horn, 2013). Screen shot retrieved from https://www.mathsisfun.com/definitions/golden-ratio.html

The golden ratio Picture 9 Given a rectangle with sides proportional to 1.618, a line can be drawn to form a square (34). Once the square is formed, the lengths a and b are also proportional to 1.618. This pattern can continue indefinitely. This is known as the Golden Rectangle. Screen shot retrieved from http://www.livescience.com/37704-phi-golden-ratio.html

The Golden Ratio is around you Picture 10 The Golden Ratio is around you The golden ratio is a naturally occurring phenomenon. Here we see it in the pattern of the sunflower seeds. Screen shot retrieved from https://puserscontentstorage.blob.core.windows.net

The golden Ratio in History Picture 11 The golden Ratio in History The pyramids in Egypt were designed such that the ratio of the height of the side of the Great Pyramid to half its base is approximately 1.618 (Britton, 2012). Picture retrieved from https://projectlibertas.files.wordpress.com/2013/01/fibonacci-design-pyramid2.jpg

The golden ratio in architecture Picture 11 The ancient Greeks used the Golden Ratio in the construction of the Parthenon. Notice how the frame of the Parthenon fits nicely in the Golden Rectangle? The height of the columns also exemplify the Golden Ratio (Blackburn, 2004). Screen shot retrieved from http://britton.disted.camosun.bc.ca/goldslide/jbgoldslide.htm

The golden ratio in architecture Picture 12 Today’s architect’s still make use of the Golden Ratio. The Golden Ratio is duplicated in the layout of the floor plan. http://chicagopatterns.com/subtle-fractal-geometry-in-wrights-roloson-row-houses/

The golden ratio and Aesthetics Picture 13 The golden ratio and Aesthetics Which picture of the same flower do you find more appealing? Do you see the Golden Rectangle in the pattern of the petals? Photographers often crop their photos to make use of the Golden Ratio. Picture 14 Pictures retrieved from http://www.phimatrix.com/photo-cropping-composition/

In man made objects the Golden Ratio provides a visually pleasing view In man made objects the Golden Ratio provides a visually pleasing view. It is believed that the Greeks used the Golden Ratio in order to make the façade of the Parthenon more appealing. Picture retrieved from https://3dwarehouse.sketchup.com/?hl=en

The Golden ratio in my hobby Picture 15 The Golden ratio in my hobby My favorite hobby is woodworking. I am learning to use the Golden Ratio to make my designs more pleasing to the eye. Picture retrieved from http://st.hzcdn.com/fimgs/431122b60f73838e_1337-w250-h250-b0-p0--home-design.jpg

The golden ratio has had an impact in my life Picture 17 The Golden Ratio is engrained in my life as it is all around me.

Picture 18 connections 1.618… As you continue through your life I challenge you to actively seek out examples of the Golden Ratio around you! Mathematics Art Geometry Design Beauty Picture retrieved from https://angelicscalliwags.files.wordpress.com/2014/08/monalisaspiral3.jpg?w=500 Nature

Notes on the sTORYBOARD The slides transitions will swirl in similar to the shape of the curve of the Golden Ratio. I will narrate each slide. A nice melody will play in the background. I haven’t chosen one yet and I hope to learn about incorporating music into my project in this course. I have chosen to use Rockwell as the font for the project. I plan to keep the font consistent throughout the project. I like it because it has an antique appeal. I decided to place the pictures on the left side of the screen in order to draw attention to the pictures. I might add some dialogue and pictures later that will illustrate the connections to geometry but I haven’t decided what I want yet. Finally, I like the orange colored font because it adds to the antique theme. I feel that the orange font on the gray background provides plenty of contrast to allow for easy reading.

References Blackburn, G. (2004). A guide to good design: Pleasing proportions borrowed from nature. Fine Woodworking (January/February, 2004), 48-51. Britton, J. (2012). Golden Section in Art and Architecture. Retrieved from http://britton.disted.camosun.bc.ca/goldslide/jbgoldslide.htm Horn, E. J. (2013). What is the Golden Ratio? Live Science (June 24, 2013). Retrieved from http://www.livescience.com/37704-phi-golden-ratio.html