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Diana - Teacher of Mathematics & Geometric Art
📍Surrey 🇬🇧
Geometric Art Courses below 📏 🎨 👇

🌟 Celebrating The Power of Form Tutorials 🌟 In th

🌟 Celebrating The Power of Form Tutorials 🌟

In this month’s pattern we keep things simple and take the time to perfect the 3 tangent circles, which are the foundation of all designs in the book. The rest of the motif is mainly composed of symmetrical “mandorlas”, giving multiple options for decorating in any style.

For the more ambitious drawers, I’ve also included some optional details, which can either be followed exactly or hopefully spark ideas of your own.

Please go to my ko-fi.com/mathsimum/shop to download the instructional PDF tutorial and watch the full landscape demonstration draw-along video for £3 per month.

I hope you enjoy learning it!

Please share your work by tagging me and using #thepowerofformtutorials

Method comparison: Regular octagon In this video,

Method comparison: Regular octagon

In this video, I compare two different methods of constructing an equivalent regular octagon inside a circle, and inside a square.

Unlike most other videos, I didn't stumble on this construction whilst exploring myself. I have my super talented geometry friend @escuela.conectarte to thank for referring me to F. Roesling's 'Guide to the construction of Gothic details' book, where this proportion was stated.

So I had to make a construction video, and needless to say, it became my high school students' homework to prove it 😄

For the full landscape video and other tutorials, go to my Ko-Fi page at https://ko-fi.com/mathsimum

I hope you try and enjoy the constructions!

#geometricart #geometricconstruction #mathsart #gothictracery #sacredgeometry

An outstanding pattern taught by @samira.mian #SMP

An outstanding pattern taught by @samira.mian #SMPMay26 this month!

I don’t often colour my patterns digitally, but this outline was too good to waste. After painting it, it became too dark to see the lines and couldn’t see the led even after retracing. But I love this star cutout resulting from the rhombus tile and wanted to keep as many of the little rhombus inside the pattern as possible.

#geometricart #geometricconstruction #mathsart #islamicgeometry

Method variation: Six tangent circles In this vid

Method variation: Six tangent circles

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.

For the full landscape video and more tutorials, go to my Ko-Fi page at https://ko-fi.com/mathsimum

I hope you try and enjoy the constructions!

#geometricart #geometricconstruction #mathsart #gothictracery #sacredgeometry

✨ Updated tutorial for this stunning curvilinear t

✨ Updated tutorial for this stunning curvilinear tessellation from Bourgoin’s ‘Les Éléments de l’Art Arabe’. ✨

A big thank you to mrhobbie who whilst learning this pattern from my tutorial, inspired a full construction for the entire tessellation, without the need to transfer it with tracing paper. My tutorial for this pattern now includes 3 versions for all abilities!

The motif is from @dav.d_wade’s patterninislamicart.com.

My updated analysis of this drawing is in my ko-fi.com/mathsimum/shop.

Enjoy!

#geometrictutorial #geometricart #geometricconstruction #LesÉlémentsdelArtArabe

✨ New Geometric Art Tutorial ✨ I have been comple

✨ New Geometric Art Tutorial ✨

I have been completely enamoured by this stunning curvilinear tessellation by French Architect Jules Bourgoin from his book 'Les Éléments de l'Art Arabe'.

The motif is hosted on the ever inspiring @dav.d_wade's patterninislamicart.com.

My analysis of this drawing is now available on my ko-fi.com/mathsimum/shop.

It is an incredibly enjoyable construction and my tutorial includes both a full design as well as a tiling which can be traced and repeated.

I hope the summery shimmer inspires you to create your own.

Enjoy!

#geometrictutorial #geometricart #geometricconstruction #LesÉlémentsdelArtArabe

Variation comparison: Five inscribed circles In t

Variation comparison: Five inscribed circles

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.

For the full landscape video and more tutorials, go to my Ko-Fi page at https://ko-fi.com/mathsimum

I hope you try and enjoy the constructions!

#geometricart #geometricconstruction #mathsart #gothictracery #sacredgeometry

🌟 Celebrating The Power of Form Tutorials 🌟 We st

🌟 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 the FREE instructional PDF tutorial and watch the FREE full landscape demonstration draw-along video. I hope you enjoy learning it!

Share your work by tagging me and using #thepowerofformtutorials

Method comparison: Three tangent circles In this

Method comparison: Three tangent circles

In this video, I compare two different methods of constructing an equivalent configuration of three inscribed tangent circles inside a circle.

This is the perfect preparation for Celebrating The Power of Form, where the Gothic designs are based on this motif.

For the full landscape video and other tutorials, go to my Ko-Fi page at https://ko-fi.com/mathsimum

I hope you try and enjoy the constructions!

#geometricart #geometricconstruction #mathsart #gothictracery #sacredgeometry

Variation comparison: Inscribed tangent circles I

Variation comparison: Inscribed tangent circles

In this video, I explore how to construct two variations of inscribed tangent circles inside a circle - five 1/3 circles in a square arrangement, and seven 1/3 circles arranged in a hexagonal arrangement.

For the full landscape video and other tutorials, go to my Ko-Fi page at https://ko-fi.com/mathsimum

I hope you try and enjoy the constructions!

#geometricart #geometricconstruction #mathsart #gothictracery #sacredgeometry

Variation comparison: Four inscribed circles As

Variation comparison: Four inscribed circles

As promised, I am going to share some comparison construction videos.

In this video, I explore how to construct four inscribed circles in a circle: 1/2 circles; 2/5 (tangent) circles; and 1/3 circles.

For the full landscape video and free tutorials, go to my Ko-Fi page at https://ko-fi.com/mathsimum

I hope you try and enjoy the constructions!

#geometricart #geometricconstruction #mathsart #gothictracery #sacredgeometry

🌟 The Power of Form Tutorials 🌟 I’m thrilled to s

🌟 The Power of Form Tutorials 🌟

I’m thrilled to share my long-term passion project with the world.

Over the past months, I’ve been analysing the geometric patterns from The Power of Form by British architect Robert Billings. To mark 175 years since its publication, I’m launching a monthly series called Celebrating The Power of Form.

On the 1st day of each month, I will publish one drawing tutorial recreating the original Gothic motif. This will include step-by-step compass-and-ruler visual instructions, as well as a draw along demonstration video of the construction.

I have classified these historical patterns into easy, intermediate and advanced, but all designs are accessible to everyone since they follow a methodical and meditative process of layering lines and circles to produce your own artwork. These drawings can then be used as a foundation for exploring a wide range of painting or colouring styles.

The subscription is £3 per month and is hosted on https://ko-fi.com/mathsimum

The first pattern will be released on May 1st and will be free for everyone, so you can decide whether you’d like to subscribe and continue learning with me.

Alongside the monthly patterns, I’ll also be sharing free videos exploring geometric methods and variation comparisons to enrich the broader learning experience.

As usual I will continue to add my other geometric analysis to my existing Ko-fi shop as well.

#thepowerofformtutorials

Beautiful #SMPApr26 pattern taught by @samira.mian

Beautiful #SMPApr26 pattern taught by @samira.mian this time framed 🖼️ 💖

Almost forgot to post the other version of the ful

Almost forgot to post the other version of the full construction of the Robert Billings design for the Carlisle Cathedral. I do love a crop with a dynamic orientation.

Step by step instructions at https://ko-fi.com/mathsimum/shop

#geometricart #geometricconstruction #gothicarchitecture #gothicwindow #rulerandcompass

These Damascus stone carved window frames have bee

These Damascus stone carved window frames have been some of my most favourite to analyse and draw!
All based on either a hexagon or a square tile which seamlessly tessellate and interlace (I always do the weaving before tiling! 😃)
You can learn to draw the 5 patterns at ko-fi.com/mathsimum
The original pictures are from patterninislamicart.com

#geometricart #drawingtutorial #windowtracery #sacredgeometry #compassandruler

One version of the Robert Billings design for the

One version of the Robert Billings design for the Carlisle Cathedral is ready.

Step by step instructions at https://ko-fi.com/mathsimum/shop

#geometricart #geometricconstruction #gothicarchitecture #gothicwindow #rulerandcompass

This gorgeous design is by architect Robert Billin

This gorgeous design is by architect Robert Billings for the Carlisle Cathedral.
Anyone can learn to draw the full construction with my step by step instructions at https://ko-fi.com/mathsimum/shop

#geometricart #geometricconstruction #gothicarchitecture #gothicwindow

Continuation of #SMPFeb26 with @samira.mian, based

Continuation of #SMPFeb26 with @samira.mian, based on designing further patterns by @rajen.astho.
I applied Rajen’s 5-fold techniques to the heptagon to create this 14-fold rosette! 😃 🙏

Shiny curvaceous beauty from @clarissagrandi.art’s

Shiny curvaceous beauty from @clarissagrandi.art’s #doorjambsoforvietoCG course 😍

#geometricart #geometricconstruction #mathsart

This was a lot of lines! Thanks @samira.mian @raj

This was a lot of lines!
Thanks @samira.mian @rajen.astho
#SMPFeb26

#geometricart #islamicgeometry #mathsart #geometricconstruction

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