Chapter I – Five Platonic Solids & Dome Homes

Etymology of a Dream

Michael was 15 years old when he first laid eyes on a geodesic dome home located in Cambellford, Ontario. He had no idea these types of homes existed. At that moment, he began his love affair with these highly irregular and unique structures.

When Michael and I first met, he asked one of his first probing questions. He wanted to know if I would mind living in a geodesic dome home. I hadn’t heard of such a thing. At that moment, I learned what a geodesic dome home was.

I agreed. The idea of living in a home completely opposite of the typical cookie cutter homes built today appealed to me.

Example of a Geodesic Dome Home

Photo Credit – Timberline Geodesic Domes

So Here We Are

Michael and I are now at the chapter in our lives where we will begin building his dream geodesic dome home. It is exciting for me to sit back and watch Michael design his dream house, that is now our shared dream home. His creativity, his ability to think outside everything ‘normal’ when designing a home, is inspiring.

We match up well when we consult, as my desire with building a home is creating completely unique and functional spaces. Open spaces without clutter. Open spaces that show me everything – because out of site, is out of mind for me. Every detail matters.

Including the details of my understanding of geodesic dome homes.

Let’s Begin With Plato & Platonic Solids

Plato, an ancient Athenian philosopher/mathematician from Greece, included Platonic solids throughout his philosophy, and is the root of the Platonic namesake. He associated the four elements of nature – earth, air, water and fire with one of the solids. Earth connects to the cube . Air connects to the octahedron, water connects to the icosahedron, and fire with tetrahedron.¹ The fifth solid, dodecahedron, connects to “…the god used [it] for arranging the constellations on the whole heaven”.²

Plato

Photo Credit – CloudBiograpy

What Are Platonic Solids?

Photo Credit – joedubs.com

Britannica defines Platonic solids as “..any of the five geometric solids whose faces are all identical, regular polygons meeting at the same three-dimensional angles. Also known as the five regular polyhedra, they consist of the tetrahedron (or pyramid), cube, octahedron, dodecahedron, and icosahedron.” ³

So, my next question is, what is a regular polygon and a polyhedra?

Regular PolygonSimple English Wikipedia says, “A regular polygon is a polygon which is both equilateral (which means all its sides have the same length) and equiangular (which means that all its angles are the same)“.⁴

PolyhedraWolfram MathWorld says, “In geometry, a polyhedron is simply a three-dimensional solid which consists of a collection of polygons, usually joined at their edges.”⁵

So, if I understand this information correctly, Platonic solids are three-dimensional solids and their sides lengths and angles are the same.

According to Michael, the five Platonic Solids are also the shapes of dice in the popular Dungeon and Dragons game.

Cube, Octahedron, Icosahedron, Tetrahedron & Dodecahedron

Let me introduce you to the five words Michael has been talking to me about since he started designing our home. Sacred Geometry, the Golden Rectangle and the Language of God has also been a part of these conversations, but I’m not going that deep into my understanding of domes!

Five Platonic Solids

A tetrahedron has four sides.

A cube/hexahedron has six sides.

An octahedron has eight sides.

A dodecahedron has twelve sides.

An icosahedron has twenty sides.

Which Solid When Building a Geodesic Dome Home?

Michael has been researching, designing and building dome structures since he was 15 years old. He claims that almost all domes are based on the icosahedron, because that solid has the most sides – most faces to start with – so is easier to extrapolate a rounder shape.

Conclusion – Chapter 1

So, there it is! What have I learned so far? I’ve learned that a Platonic solid is a three dimensional polyhedra whose sides are equal in length, and whose angles are the same. The best, and by far the most commonly used solid for the structural foundation of dome homes, is the icosahedron.

The next chapter in my blog series on building a geodesic dome home is understanding the importance of dome frequencies!

S, 📐

Feature Image – Wikipedia


References


Spring of 2020 – Conceptional Ideas Come to Life on SketchUp

Original Design of our 5 Partial Sphere 3 Frequency Icosahedron Geodesic Dome
Original Design

During the spring of 2020 Michael purchased the 3D Modelling Program SketchUp and began designing our 5 Partial Sphere 3 Frequency Icosahedron Dome.

Because of post-COVID inflation rates we are not building the annex and main dome (dome to the left). We have chosen to build the garage and workshop section of the original design, with a studio apartment above to call home.


Updated design of our Dome Home
Updated design of our Dome Home

Interior design of our Dome Home
Interior design of our Dome Home

Two years after he started putting his ideas into 3D form, construction begins with Michael as the one man general contractor.

Michael has designed, researched, organized, been part of or is building every aspect of our dome.

We hope you enjoy this blog series.

You can contact us at info@joyfulstephanie.me for further information or questions.

Stephanie & Michael


Building A 5 Partial Sphere 3 Frequency Icosahedron Geodesic Dome – Concrete Wedges For Foundation Hubs & Family Help

Building A 5 Partial Sphere 3 Frequency Icosahedron Geodesic Dome – Bolting Lower Struts To Hubs, Raising First Triangles & Installing Hub Sets

Building A 5 Partial Sphere 3 Frequency Icosahedron Geodesic Dome – November, 2023 – Building the Dome Structure

Building A 5 Partial Sphere 3 Frequency Icosahedron Geodesic Dome – Winter – 2023/2024 – Building Of The Dome Structure Continues

Building A 5 Partial Sphere 3 Frequency Icosahedron Geodesic Dome – Spring – 2024 – Framing Trapezoids

Building A 5 Partial Sphere 3 Frequency Icosahedron Geodesic Dome – Spring – 2024 – Drone Photos Of Penny Lane

Building A 5 Partial Sphere 3 Frequency Icosahedron Geodesic Dome – Landscaping & Sheathing & Window Framing

Building A 5 Partial Sphere 3 Frequency Icosahedron Geodesic Dome – Construction Of The North Entrance Portico

Building A 5 Partial Sphere 3 Frequency Icosahedron Geodesic Dome – Applying The Elastomeric Membrane

Building A 5 Partial Sphere 3 Frequency Icosahedron Geodesic Dome – Progress From January To June 2025



© Stephanie Wells – Joyful Stephanie – Living an Authentic Life – 2014-2026. Unauthorized use and/or duplication of this material without express and written permission from this site’s author and/or owner is strictly prohibited.


2 Comments Add yours

  1. mama says:

    Stephanie, Love your Example of a Geodesic Dome Home!!!. Looking really good Love mama 💜🤗♥️

    1. Thanks mama!!!! ❤️❤️❤️

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