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Highlights from the June Post Archives on GeometryCode.com

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Here’s the sixth installment of selected blog posts published in June in recent years on GeometryCode.com. Each entry below includes the post title, published month, and a sample image to entice you to review prior posts.

(This is part 6 of a 12-part series; the highlights from prior archive posts in this series are at the end of this post.)

GeometryCode.com — Highlights from June Posts (from 2011 through 2025)

Thanks for reviewing these highlights from GeometryCode.com’s archives!

Here are the prior archive posts in this highlight series:

Highlights from the May Post Archives on GeometryCode.com

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Here’s the fifth installment of selected blog posts published in May in recent years on GeometryCode.com. Each entry below includes the post title, published month, and a sample image to entice you to review prior posts.

(This is part 5 of a 12-part series; the highlights from prior archive posts in this series are at the end of this post.)

GeometryCode.com — Highlights from May Posts (from 2011 through 2025)

Thanks for reviewing these highlights from GeometryCode.com’s archives!

Here are the prior archive posts in this highlight series:

GeometryCode.com Survey

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Thanks to all of you for your continued and ongoing support of this labor of love website!

It has been quite a while since we’ve had a reader survey or poll! Here are the results of the last one from the turn of the millennium:

 

Here’s an opportunity to share your geometric interests, passions, curiosities, favorite topics, and whatever you think will be helpful, useful, and fun!

Please share your interests, wish lists, and thoughts on existing and unexplored subjects via this survey to help guide our content priorities.

Monthly miscellany for mathematical musing

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Bubble colors (close up, hue shifted)

golden spirals from pentagram fractal by Geotryptamine

Similar golden ratio, pentagram/pentagon, spiral constructions – with numerous variations! – are on pages 146-156 (among others) of Sacred Geometry Design Sourcebook.

Geometric Inspiration and Education

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geometric art, color-filled intersections of simple 2D shapes shapesReflecting on the growth – explosion, really – of information available to us online compared to what we had access to just a few decades ago, I recalled that in the early 1970s when I was an undergraduate electrical engineering student at UC Davis, California, I used the card catalog in a long row of tidy wooden cabinets at the Shields Library – a building which covers an entire block of the campus – to look up everything I could find (at that time) on the Golden Ratio, Golden Number, Golden Section, Divine Proportion, Phi (ø) or Tau (τ) Proportion, Sacred Cut, Extreme and Mean Ratio, etc. and other synonyms for the ubiquitous (1 + √5)/2 ≈ 1.6180339887… value. This fascination was my response to a gift of two books – both with references to the golden ratio – from my mother who indirectly introduced me to this enthralling subject which later was popularized with the term “sacred geometry”:

I found a few dozen books that led to other books and on and on into the mystical realms of the intersections of mathematics, ornamentation, art, music, architecture, history, and above all – mind. … But after checking out those books, I felt I had somewhat exhausted the more obvious references to this topic in this library. … Not anymore!

Fast forward a half-century; now googling Sacred Geometry, as of today (21 April 2022) we get a staggering 45 million results for this niche topic (including my evergreen minimalist GeometryCode Introduction to the subject now way past overdue for a revisit and update) and 481 million for the Golden Ratio!

The same curiosity still remains in my mind: What can be counted on that does NOT change? The laws of mathematics in general and geometry, in particular, seem relatively stable, fortunately, at least within the context of the Cartesian space-time paradigm. When I was in high school, I read Education and Ecstasy by George Leonard and I realized that to really dive deep and learn immersively, one needed to be motivated, inspired or at least have their curiosity seriously piqued or their assumptions about life challenged. Exploring some of the ideas that these readings opened up for me was enough!

Now there are a multitude of online offerings that can motivate young and old alike to explore esoteric topics like interconnectedness (e.g. quantum entanglement), geometric symbolism and synchronicities, and so much more. Another vital element that has a multiplying effect is FUN!

Here are a few quickly-found resources for educators and explorers in this realm (including teachers, home-schoolers) and philosophers of all stripes:

Enjoy! :-)