# data[].attributes.headline
What is it meant when I need to develop ideas and show artistic intention?

# data[].attributes.subject
What is it meant when I need to develop ideas and show artistic intention?

# data[].attributes.body
'Developing ideas' means systematically working towards better artwork: experimenting, refining, and exploring compositional devices and techniques; demonstrating that you have gone through a learning process and arrived at a successful final piece of artwork.

'Artistic intention' is when you demonstrate what choices you make as an artist to create a piece of artwork. To show clear artistic intention, means exploring a variety of techniques, styles, and subjects where you then present a final idea of what you intend to make as a final art piece as an artist

# data[].attributes.body
Take a look at these prime examples of developing ideas and presenting artistic intentions for 3D and sculptural works.

# data[].attributes.body
How sequencing aids artistic intentions...

# data[].attributes.attachment_link.title
Artistic Intention – Exploring Composition Using ShapeFormPattern

# data[].attributes.body
Paper Modular Sculptures

# data[].attributes.headline
Doodling in Maths: Spirals and Fibonacci

# data[].attributes.subject
Doodling in Maths: Spirals and Fibonacci

# data[].attributes.attachment_link.title
Doodling in Math: Spirals, Fibonacci, and Being a Plant [1 of 3]

# data[].attributes.body
How can your paper polyhedra be placed in and around the school?

What patterns and shapes can you create?

# data[].attributes.body
Patterns can be discovered and created - what other patterns can you find in art and nature?

Photograph your pattern.

# data[].attributes.body
for collaborative sculpture installation project.

# data[].attributes.body
Aaron Meoded

# data[].attributes.body
Music for Strings

# data[].attributes.body
Sonneries de la Rose Croix

# data[].attributes.attachment_link.title
Sonneries de la Rose Croix - Air de l'Ordre

# data[].attributes.attachment_link.description
Some images to Satie's tune written for the R+C salon

# data[].attributes.body
Reflections in the Water

# data[].attributes.attachment_link.title
Claude Debussy -  Reflets dans l'eau - Reflections in the Water

# data[].attributes.body
Can the Golden Ratio be used in all art forms?

Do artists only represent one artistic intention over the other? For example, is their work strictly calculated or the opposite - organic and expressive?

Do all works of art represent some form of sequencing or patterns?

# data[].attributes.body
How might mathematics and art be related?

Why may this be important/useful in creating art?

How is sequencing represented in art?

Does it exist in 2D and 3D art forms?

Other than the visual arts, how else may the Fibonacci Sequence be represented in other forms of art?

# data[].attributes.body
What are geometric shapes?

What is the difference between 2D and 3D?

What is the Fibonacci Sequence? Golden Ratio?

Do you know of any artists that combine or use math in their artwork?

# data[].attributes.body
1. Create a Unit Title Page that consists of the different spirals used in the video.

2. Use square math grid paper to draw the Fibonacci Sequence with a spiral inside.

3. On tracing paper, brainstorm different ways that math and geometry could be used in art, and layer on top of your Fibonacci math paper!

# data[].attributes.body
In a nutshell

# data[].attributes.body
Fill ONE page of your journal with the Fibonacci square.

Does it fit in neatly?

Using tracing paper and 3B pencil, trace over your grid. Keep this for later as we will use it to compose another art project.

# data[].attributes.body
Artist Comparison

To reflect and demonstrate your knowledge and understanding of the art work and theories discussed so far, you will need to select two artists to compare their practical work and concepts.

Questions to consider and think about...

1. How does their work relate to sequencing, patterns, volume, and calculated compositions?

2. What relationship is shown in their work between calculated compositions and organic processes and artistic intention?

3. Does their artwork only represent one artistic intention over the other? For example, is their work strictly calculated or the opposite - organic and expressive. Why do think so?

4. What ways can you relate your work to the work of the chosen artists? What methods or processes did you use that reflect the same/different artistic intentions of creating sequences in art?

# data[].attributes.body
Andy Goldsworthy (sculptor)

Liina Klauss (installation artist)

Alexander Calder (sculptor)

John Paul Gardner (sculptor/installation artist)

Alison Hamil (painter/illustrator)

Richard Sweeney (sculptor)

# data[].attributes.body
How Fibonacci Numbers are Expressed in Nature

# data[].attributes.attachment_link.readable_text
To gaze upon the masterful beauty of a pristine forest at dawn or the delicately intricate wings of a butterfly, one might surmise that Nature, at heart, is an artist. Though as most people already know, there exists in the natural world a detailed sense of numerical order that bears the mark of a true mathematician, yet often it seems you have to be one too to fully appreciate its complexity. Maybe you recall some sleepy high school algebra class discussion of the Fibonacci sequence, a handy mathematical formula used for making boring old golden spirals -- but perhaps you've never fully appreciated the significance of this sequence to life on Earth.

In her latest informative video lesson, YouTube user Vihart outlines the seemingly confounding appearance of the Fibonacci sequence in nature in a way that's sure to have you finding patterns you never noticed before.

Recently, another incredibly bright youngster grabbed headlines by exploring the possibilites of improving clean-energy efficiency by applying the Fibonacci sequence. Inspired by the placement and angle of branches and leaves along a tree's trunk, teenager Aidan Dwyer set about creating a solar panel array in line with nature's arrangement with results that caught the attention of more than a few grown-ups.

In the world of academia, so often it seems that mathematics and artistic interests stand at the opposite ends of scholastic pursuit -- but in the natural world, a better understanding of one only heightens the appreciation of the other.

Via Brain Pickings

You just might never look at a pinecone the same way again.

Please enable JavaScript to view the comments.

# data[].attributes.attachment_link.title
How Fibonacci Numbers are Expressed in Nature (Video)

# data[].attributes.attachment_link.description
To gaze upon the masterful beauty of a pristine forest at dawn or the delicately intricate wings of a butterfly, one might surmise that Nature, at heart, is an artist.

# data[].attributes.body
River of Rubbish

# data[].attributes.body
Installation Sculptor

# data[].attributes.attachment_link.title
Andy Goldsworthy Digital Catalogue: Home

# data[].attributes.attachment_link.description
The Digital Catalogue documents, visually and textually, the first ten years of Andy Goldsworthy's ephemeral, outdoor practice. It replicates Goldsworthy's Slide Cabinet Index, and includes previously unpublished material from Goldsworthy's Sketchbook Diaries.

# data[].attributes.body
Considering the work of Andy Goldsworthy and Liina Klauss you will need to compose and construct a temporary installation containing man-made objects and natural forms found in your surrounding environment that demonstrates your knowledge and understanding of the Fibonacci sequence.

# data[].attributes.body
In groups, you will choose ONE polyhedra template to create a medium size sculpture that is constructed from several paper polyhedras. You can choose from: platonic solid or an archimedean solid.

ONE: Use the A4 templates to cut, outline, and assemble many polyhedra using coloured paper. Assign a task to each member of your group - i.e. one person cut, another outlines, etc. You will need at least several completed polyhedra shapes to construct your final sculpture.

Materials:

Polyhedra Template

Coloured Paper/Card

Scissors

Cutting Knife

Cutting Mat

Double Sided Tape

Pencil

Eraser

TWO: Work as a group to construct/assemble a sculpture that reflects your use of composition, balance, and structure. Consider whether your sculpture will be standing or hanging! Document the various different approaches to constructing and composing your final sculpture - you may use your phone/camera to do so. These photographs will need to be printed and attached into your journal to demonstrate exploration of different ideas and perspectives. You will need to annotate/add comments at this stage of the process.

THREE: You will then place your sculpture around the school to be photographed. Reflect how the sculpture interacts with a new environment, as well as what different perspectives and patterns can be created with the sculpture. Your group will be responsible to curate and install your sculpture in one chosen place.

Please print several photographs of your sculpture and place in your journal for reflecting and evaluating the project using appropriate art vocabulary.

# data[].attributes.body
Your task is to create ONE page of dedicated to the golden ratio that can be found in nature! You must photograph the object or subject yourself and arrange it on one page in your journal.

The images can be any size but you must fill the entire page with NO space between the photographs. Make sure that the golden ratio in the object you photograph can be seen.

Explore textures, colours, patterns...

# data[].attributes.attachment_link.title
Da Vinci's Vitruvian Man of math - James Earle

# data[].attributes.attachment_link.description
What's so special about Leonardo da Vinci's Vitruvian Man? With arms outstretched, the man fills the irreconcilable spaces of a circle and a square -- symbolizing the Renaissance-era belief in the mutable nature of humankind. James Earle explains the geometric, religious and philosophical significance of this deceptively simple drawing.

# data[].attributes.attachment_link.title
I ♥ mathematics {platonic solids garland} -

# data[].attributes.attachment_link.description
Oooh....it’s been I while since I last posted. We had a smashing Christmas and new year. Hope you all did too! My computer died just before Christmas and it’s taken my hubby and I a while to bring it back to life...which is why it’s been a bit quiet. I lost 3 months worth of

# data[].attributes.body
In nature

# data[].attributes.body
In design

# data[].attributes.body
In theory

# data[].attributes.attachment_link.description
Some twentieth-century artists and architects, including Le Corbusier and Dalí, have proportioned their works to approximate the golden ratio-especially in the form of the golden rectangle, in which the ratio of the longer side to the shorter is the golden ratio-believing this proportion to be aesthetically pleasing.

# data[].attributes.body
The Architects of Nature

# data[].attributes.attachment_link.title
Why do honeybees love hexagons? - Zack Patterson and Andy Peterson