Starcut: Where Art, Maths & Music Meet - A Class for High Achievers (Ages 13-18)

In this 4-week class, we explore the mathematical properties of the Starcut diagram in quantitative and qualitative ways, to appreciate this ancient way of dividing a plane to create regular proportional divisions.
213 total reviews for this teacher
Completed by 3 learners
  There are no upcoming classes.

45 minutes

per class

Once per week

over 4 weeks


year olds


learners per class

per learner - per class

How does aMulti-Daycourse work?

Meets multiple times at scheduled times
Live video chats, recorded and monitored for safety and quality
Discussions via classroom forum and private messages with the teacher
Great for engaging projects and interacting with diverse classmates from other states and countries

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Class Experience

Participants will learn how to draw a Starcut diagram from scratch using compass and straight edge.
They will learn how to derive divisions from 1/2 to 1/11 from the diagram, and by realising how the different divisions arise from the Starcut, will increase their appreciation of the qualitative aspects of these as well as adding to their familiarity with their quantitative aspects.
They will learn to apply the Starcut diagram to various artworks and describe the effects and interpretations arising in increasing depth.
They will learn more about Pythagorean musical theory, the numerical relationships that are part of the natural overtone series, and their relation to the Starcut diagram.
They will learn to articulate their thoughts, perceptions, and intuitive responses more clearly in word form.
Participants will be required to research artwork and play games between classes and be prepared to discuss their findings in class.
 2 files available upon enrollment
Participants will need a set of drawing compasses (the best ones have an adjustable wheel - I recommend avoiding the cheap ones and investing in a compass which is built to last - The Staedtler Noris Club 550 02 is a good entry point compass. For others, see the selection at They will also need a standard stationery kit (writing implements, ruler, paper, eraser). An over-ear gaming-type set of headphones with built-on microphone and a noise-cancelling feature is recommended for best audio quality for communication in classes. Please note that unless students have a very good reason not to have their video on during class, I expect students to be visible and participate actively in classes I teach. The digital classroom is a social space shaped by our intentions and our activity - and I encourage participants to actively build the kind of space they feel comfortable in, and to actively work on creating a space in which others can also feel comfortable being and acting in. Outschool does provide a 'verification' system for those who have good reasons not to participate visually, and I will respect and support that fully. Please consult for further information and contact '' at least a week before the start of your first class to allow time for the verification process to be completed. Thank you for your understanding and cooperation in this matter.
Student retention and understanding is assessed informally individually during the class.
45 minutes per week in class, and an estimated 1 - 2 hours per week outside of class.


Leon Conrad
Lives in the United Kingdom
A traditional tutor who enjoys inspiring students with a love for learning
213 total reviews
221 completed classes

About Me

Hello, and welcome! Please call me Leon. I'm based in London, UK where I live with my wife, Tanya and dog Tally. I tutor in the best tradition of the British education system, drawing on a long-standing integrated and integrating liberal arts... 
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