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In this video, I compare two different methods of constructing an equivalent regular octagon - one fully inside a circle, and one inside a square. For more constructions, visit ko-fi.com/mathsimum
Method comparison: Regular Octagon
In this video, I demonstrate an alternative to the traditional method of how to construct 6 tangent circles inside a circle - six large tangent circles and six small circles with an optional central circle. I hope you try and enjoy the constructions! ko-fi.com/mathsimum
Method Variation: 6 Tangent Circles
Create your own piece of historic Arab tessellation with this detailed compass-and-ruler construction tutorial at https://ko-fi.com/mathsimum/shop I’ve broken down the original curvilinear weaved design by French architect Jules Bourgoin from his book 'Les Éléments de l'Art Arabe' into clear, precise steps so you can draw the complete pattern perfectly by hand — including the full construction as well as the tiling. What’s included: Step-by-step construction guide (detailed colour-coded stages, including the full outline, as well as a tile which can be repeated) Finished black-line outline template ready for colouring or printing Complete hand-drawn examples Instant digital download — start drawing and painting your own stunning Arab curvilinear interlaced tiling today!
How To Draw Bourgoin Arab Tessellation
In this video, I demonstrate how to construct three variations of five inscribed circles inside a circle - five large tangent circles inside the circumscribed circle; 5 small tangent circles inside the inscribed circle & 6 small 1/3 circles inside the inscribed circle. I hope you try and enjoy the constructions! ko-fi.com/mathsimum
Variation comparison: 5 Inscribed circles
Celebrating the Power of Form Tutorials We start off Celebrating The Power of Form by drawing the very first design out of one hundred in the book. It is one of the most iconic and recognisable designs with its sixfold tangent flower shapes and inscribed hearts on the outside. It is the perfect intermediate pattern to learn - not too easy but not overly challenging, it is just following each step and enjoying the process. The traditional Gothic design will be a lovely opportunity to apply an established artistic style, or the chance to venture into a completely new and contrasting aesthetic. Please go to ko-fi.com/mathsimum/shop to download this month's FREE instructional PDF tutorial and watch the full landscape demonstration draw-along video. I hope you enjoy learning it! Share your work by tagging me and using #thepowerofformtutorials
Celebrating the Power of Form May26 Pattern 1
Two different methods of constructing 3 tangent circles inside a circle using a ruler and a compass.
Method comparison: Three tangent circles
How to construct two variations of inscribed tangent circles inside a circle - five 1/3 circles & seven 1/3 circles.
Variation comparison: Inscribed tangent circles
How to construct three variations of 4 inscribed circles inside a circle - 1/2 circles, 2/5 (tangent) circles, and 1/3 circles.
Variation comparison: Four inscribed circles
Create your own piece of historic Carlisle Cathedral architecture with this detailed compass-and-ruler construction tutorial at https://ko-fi.com/mathsimum/shop I’ve broken down the original Gothic tracery designed by Robert Billings into clear, precise steps so you can draw the complete pattern perfectly by hand. What’s included: Full materials list Step-by-step construction guide (detailed colour-coded stages) Finished black-line outline template ready for colouring or printing Hand-painted colour examples Instant digital download — start drawing and painting your own stunning Carlisle Cathedral tracery pattern today!
How To Draw Carlisle Cathedral Tracery
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