Launched OmniGeometry :: Going native with GeoKone

Reached GeoKone version 1.0 ! ^_^

Realized I didn’t write anything in my blog about our new sacred geometry software website:


OmniGeometry is the result of 6 years of work, culminating in what is we believe to be the ultimate sacred geometry software on this planet.
GeoKone 1.0.2

GeoKone 1.0.2

OmniGeometry is a package of GeoKone 1.0 + complete set of tutorial videos to help you get on speed on how to create your own sacred geometry.

 We’ve been working on this together with my partner in business, Gustavo Castañer. Gustavo found me last year, and asked me to teach how to use GeoKone. We did some private lessons, and after some time he convinced me to work on more tutorial videos to really make a product of GeoKone. We decided to start working on this together, as Gustavo saw the potential in the software and wanted to help create a commercial product together with me, and also as a means of  support us to continue working on this and future projects through income of selling the software.

Together with Gustavo we created the website, set of tutorial videos and the new base for what is to be the future of sacred geometry software. It was a real pain in the ass to combine GeoKone with a WordPress installation, but in the end the work was worth it. Go check out our website now: to learn more!

Towards a downloadable desktop application

After the launch, the #1 request from users and potential users was: Is there a downloadable version ?

Currently GeoKone is implemented with Javascript + HTML5 & Node.js on the server side. This has many benefits, like being able to run on any operating system that runs a modern browser, anywhere, ubiquitously. No need to install anything, updates are automatic and so on. But this has downsides too. This means you have to have an online connection access the application, and also we’re not getting all the performance we could be getting with the browser being between the hardware and the application.

I was pondering whether we should just package the HTLM5 application with Electron, but decided that would take at least 2 months to implement, and I wouldn’t personally be happy with the results, as I’m already also pretty tired working with web technologies. Ultimately I decided, it’s finally time to start working on a native, downloadable desktop version of GeoKone.

Turbocharged, slick, beautiful native application

Since the beginning of GeoKone, I always had in mind to implement a proper desktop version. I had been looking at QT5 for a really long time, even learning it and doing some simple UI prototyping, but it just didn’t feel like the right thing to do earlier. Now the time feels finally right. Most of the problems have been solved with GeoKone 1.0, so it’s “just” a matter of porting to QT5. Happy and inspired to start work finally on a native, downloadable desktop version of GeoKone ! Target platforms are going to be Mac/Win/Linux desktops.

Also now I have experience to undertake this, after working over 2 years on the Geometrify 3D geometry engine. This native version will still be fully 2D, Geometrify will be the 3D version once it’s done, but that’s another story completely.

This is going to be one slick, beautiful, turbocharged version of GeoKone! Hope to release within 6 months at least a beta version for early users to test out.

Anyway, until then, work continues! We are committed to this, and will provide people with the best experience of creating sacred geometry.

My Mission :: Awakening to Sacred Geometry


Hello, time for something more personal this time.

I wanted to share something more personal, some of the motivation that has lead me to work with Sacred Geometry and motivation behind on my mission to continue bring people direct experience of what I believe is the creation language of our Universe.

From now on, I want to share more, be more truthful, more direct, not think so much about what I put out.  Bom shaka bom!

GeoKone 0.99.66 released ::Set Background Image & Continous Tracing

GeoKone.NET was just updated to version 0.99.66.

Background Image Setting

This version (actually previous version already) brings support for drawing over a background image, like demonstrated here:

Remixing Geometry over a image from

Remixing Geometry over a image from

Using a gradient as the background

Using a gradient as the background

Saving the background image is not yet supported, but you can always load it again after loading the scene from a local file. The background image setting is smart, so you can import any size file as the background and GeoKone will automatically scale it to fit the best target, and you can select  how to fit the image to to your scene.

When exporting PNG images with background, the background images original resolution will be preserved, so you can set a high resolution image as background and then draw over it, and get same quality output if exporting a higher resolution PNG image.

One cool thing to try out also is exporting your current scene as PNG, then setting that image as your background and continuing drawing over it :)

Continous Tracing Mode

When the ‘tracing’ mode is set, toggling the animation will not clear the trace buffer anymore. This means you can pause the animation, modify your formations and resume animation to continue tracing over your previously traced buffer.

This enables to create this kind of beautiful images more easily:

This was created by tracing the original formation, pausing animation, re-scaling, continuing animation and repeating this pattern

This was created by tracing the original formation, pausing animation, re-scaling, continuing animation and repeating this pattern


Updated Help Page

Be sure to check out the updated Help Page also to get a better idea how to use GeoKone.


Complete changelog for versions 0.99.65 & 0.99.66:

  • Fix bug with topmost buffer not always clearing when switching layers and
    toggling mod all on and off
  •  Update PDF download prices to be slightly more supportive toward development of GeoKone ^_^
  • Update help page
  • New dialog style login page
  • Update styling of signup and forgot password dialogs
  • Clean up the code a lot
  • Add buttons for animation and tracing on the top menu to make them easier to find
  • Remove the toolbar bottom indicators, replace with the led indicators
  • Style minor things to be more compatible with Chrome
  • Continous tracing drawing. Traces are now drawn by default continously, toggling animation will not clear the trace buffer now, only when you toggle tracing is the buffer cleared
  • ‘Help/Send Feedback’. Send direct feedback to me.
  • Fixed the right menu appear animation
  • Remove the stupid blue outline coming around the canvas on Chrome and Safari
  • Fix keyboard focus icon not showing with Safari
  • Fix export image to show proper preview when tracing off

Little bit closer to 1.0 again :) Go to http://GeoKone.NET and get creative!

Notes from the path of creating a 3D geometry engine

Hello, Sakari here, aka inDigiNeous. For the past 2 years I have been building my own 3D engine, from the ground up, using C++11 and modern OpenGL.

In this post I am going through the motivation to build my own 3D engine, technical details about the process and what is driving me to do this work. Work that is ultimately leading to the development of next version of GeoKone (“GeoKone 3D”) and later also to

The desire to see how things work

First some background on why I decided to create my own 3D engine, how I got here and why I ultimately didn’t just use a ready made solution like Unity or Unreal Engine, or any of the other more lightweight engines out there.

My personal goal has always been to understand things deeply, and to see behind things, how they operate on their core levels. I get satisfaction from understanding things thoroughly. I like to take apart stuff, build, re-build and see how the pieces fit together in different ways. This is where I get my kicks from.

To understand, to learn, to see what makes things tick.

My graphics background

When I started developing http://GeoKone.NET, I had some experience in programming graphics, but nothing on a really deep level. I first learned graphics programming back in the 90s in the MS-DOS days, doing some simple Turbo Pascal, assembler and C -based demo effects, but I never released anything or never did anything really cool.

I tinkered during the years with 2D -graphics programming, mostly on the Javascript side of things, so I had some experience with that. But nothing on a really deep level.

During the development of GeoKone I noticed that  many of the visions I wanted to implement, I just couldn’t do with Javascript and the 2D canvas, because of performance reasons and just the limitations of the platform.

Back in 2011 when I started working on GeoKone, and during the couple of years following that, there was no viable option to do hardware graphics processing in the browser, WebGL wasn’t really a viable option, and in a way it still even isn’t, although it is gaining popularity, stability and support now, but it is still limited to new powerful machines to get smooth frame rates and nice support.

So I stuck with Javascript and 2D canvas programming for a while there, and it worked perfectly fine for what GeoKone is .. but I knew I needed more close-to-the-metal programming in order to get the visions out of my head that I wanted to see.

Enter Virtual Reality

In December 2013 when the Oculus Rift DK1 became available to purchase for any developer, I could hear my intuition proclaiming loudly “Order!” “Do it!”.

I still remembered in the early 2000s when my intuition told me, as a engineering student,  “purchase Apple stock” .. and I didn’t, so this time I decided to listen ;)

I ordered the first development kit, and the moment I first tested it, I knew that this is  the environment where Geokone 3D has to be made.

The Oculus Rift DK1 :: Hello Androids

Hello Androids :: Wearing the Oculus DK1

I  decided to dedicate my time then to start learning C++ and OpenGL more and to get something showing with the DK1.

I had already prototyped core parts of GeoKone with C++, Java and even Objective-C, just to test out what would fit best for the case, so I had some code already to work on, but not much.

Development of libgeokone, very early stages, C++ & OpenGL

Development of libgeokone, very early stages, C++ & OpenGL

Back then there was no integrated support in Unity or Unreal Engine like now, so the only way to see something in stereo 3D, was to implement  it using Oculus’s own C/C++ SDK.

Learning 3D basics

And I had no real experience in doing 3D programming, no understanding of how the math and the principles behind it worked. But I just decided, screw this, I’m gonna learn this while I go, and so I began.

Implementing and understanding basic 3D math and translations, projections and such took a while to understand, and matrix operations also still a bit difficult, but the more I program this stuff and really just teach it to myself, the more I start to see this geometry everywhere, how things are built, and understand the math and physics of space and light also while learning it, which is really interesting to notice.

Using a grid to verify 3D functionalities

Using a grid to verify 3D functionalities

Had one experience of walking outside after really grasping the 3D fundamentals and getting code working, I walked outside and could see their vector versions projected on top of the physical objects for a while there, like green matrixes of the physical objects, my mind mapping them out with the rules I just programmed for them. Woah! As Keanu Reeves would say.

Programming the Oculus Rift

It took me 4 months of work to get anything even showing properly with the DK1, mainly due to learning the basics of 3D programming, vectors, matrixes, projections, the whole third dimension and the complexity that comes with it. Luckily, for vector math I could use the great GLM library, which is really nice for working with OpenGL.

I had done simple 3D programming before this, but nothing that I could substantially understand, and this time I wanted to understand each thing I was doing, in order to really grasp what is going on here.

In these months of learning modern C++, OpenGL, GLSL, browsing the Oculus Forums to understand the SDK and just taking in all of this new information, I got to the state where I would get stereo rendering working properly finally, and man, it felt good at that point :)

One of the first stereo rendered scenes I did

One of the first stereo rendered scenes I did

Finally in beginning of May 2014 I had most of my geometry core from GeoKone ported to C++, with very simple GLSL shaders. This meant I could now draw recursive geometry in 3D space, with support for stereo rendering.

This would produce this kind of images:

Early stereo images

Early stereo images

One of the very first scenes for verifying stereo rendering I did

One of the very first scenes for verifying stereo rendering I did

Another stereo image

Another stereo image

Developing the first Demo

I also got the DK1 rendering properly, so I now had this kind of images produced by my program, animated in 60 fps, zooming through the geometry:

Geokone geometry engine rendered in stereo with C++ & OpenGL

Geokone geometry engine rendered in stereo with C++ & OpenGL

I continued from there to develop this demo, tested it with different music, and finally added music from my good friend Miika Kuisma. This lead to the development of the first demo of Geometrify, which we demoed together with Tommi Ullgren, Samuel Aarnio and many others helping us, ultimately us showcasing this potential of sacred geometry in VR at over 20 events and offering probably over a 1000 people their first VR experience ..

But that is a story for another blog post :)

From demo to engine

The first demo I did was just only a technical demo, made in a way that really didn’t support building flexible software around it, so I had to spend a lot of time figuring out how to get a proper framework of C++11 & OpenGL, built in a way that allowed configuration of a 3D world designed to render recursive geometry in a 3D space.

C++11 and OpenGL was chosen in order to support cross platform from the get go. No other language really offers bindings to all the libraries on all major three platforms, Mac Os X, Windows & Linux, and also mobile devices, and with the rock solid performance that this kind of experience would require to be really solid and feel smooth as silk.

Modern C++ practices

Modern C++ practices

I spent lot of time in just learning OpenGL and C++11 best practices. C++11 is a very nice language, but to understand how to use it, you have to wade through maybe 15-20 years of legacy practices in order to find how things are done currently, and how to apply modern techniques.

Implementing beautiful line rendering

One of the key aspects of rendering recursive geometry, is how to get beautiful lines rendered. Turns out this is not as simple as just using a ready made library, as there really doesn’t exist such a thing.

I waded through different methods, read through many papers and found out people have implemented something already, like the VASE -renderer. Ultimately I decided to implement the line rendering method researched and implemented by Nicolas P. Rougier with python, described in his paper here:

Getting this to work I now had lines like this renderer in OpenGL:

Antialiased Polygon Lines

First version of the antialiased polygon lines I implenented

Showing how these lines are tesselated from triangles

Showing how these lines are tesselated from triangles

More recent example of the linerendering

A More recent example of the line rendering method.

Need for a scripting language

One of the really annoying things about C++ is the need to compile the source code all the time even if you just change one number. Trying to implement program logic with this limitation was getting really on my nerves, as usually it took at least 2 – 3 seconds to compile the classes I was working on, and when doing this hundreds of times really takes a toll in the iteration times.

I reached the same conclusion that many others before me have done, and saw that I need to add scripting language support for my engine to really get anywhere in a reasonable time and not loose my mind while doing it.

I prototyped different approaches, first considering using QT5 with it’s built in Google V8 javascript engine, but came to the conclusion that I don’t need such a beast of software just do add scripting.

I also looked at several other scripting options, but really the only other one that can be taken seriously is Lua, so I bit the bullet, learned yet another new language and bound my C++ engine to the Lua -side with the assistance of the great lua-intf interface.

Controlling scenes with Lua

Controlling scenes with Lua

To be able to write programs that have the iteration speed of javascript, combined with the raw power of C++11 and Modern OpenGL, felt super good. Unlimited power!! ;)

Base work almost done

So finally I’ve reached a state of development in my engine, now named PSITriangle Engine™, where I can run program logic in scripts in Lua, and keep the parts requiring performance on the C++ side.

It’s been a long way to this state, to implement a very specific use-case 3D Geometry Engine, using modern C++11 and modern OpenGL + GLSL techniques, all the while learning how to do this while developing the actual engine.

The feeling of getting here, controlling all the pixels on the screen, using the power of math and geometry, and skills I had accumulated over the years to produce this virtual space, felt like pure creation coming into life.

I’m glad I didn’t know how much work implementing a 3D engine properly is, because I might have not chosen that path if I had known :D

Finally  I can just quickly script and prototype ideas quickly. This brings development speeds up significantly and helps test and development massively easier from now.

From now on my plan is to finish this base of the engine and actually start implementing the program logic for what is going to become “GeoKone 3D” as the project name for now! :)

Geokone Tutorial Video :: Creating Sacred Geometry Live

I did an quick’n’sleek tutorial video on how to create beautiful Geometry with  GeoKone.NET., check out the video here:

In this video I go through the basics, while creating art and explaining what I am doing.

Just watching somebody create geometry can also be quite relaxing, especially with great music by Miika Kuisma in this video.

Geokone 0.99.64 Released :: Active Layer Indicator & Much Polish

Today saw the release of GeoKone.NET version 0.99.64. This release is just about small polish and one new major feature: Active layer indicator. These indicators show what is the active layer visually, so you don’t have to go guessing.

Here is a video showing off some new features and high level geokone usage:

Keyboard focus is now also indicated with a small icon, and last command entered is also shown to give exact feedback on what you gave GeoKone.

Harmonic Geometry Video :: MandalaScope by Miika Kuisma

Put on your headphones, toggle fullscreen, let the waves relax you, fly through you, become harmony within you. Enjoy:

MandalaScope by Miika Kuisma :: Click To Open in VImeo

MandalaScope by Miika Kuisma :: Click To Open in Vimeo :: Fullscreen & Headphones!

This beautiful video was made by Miika Kuisma (Soundcloud page) utilizing geometries made by me, shortly after first version of GeoKone was released. The music is by Above & Beyond, so we didn’t release it back then, but now I feel that any content that can quiet and relax you for a while is worth releasing! Everything is a remix after all!

I have watched this video many times, with tears going down my eyes, and I dont even really understand why, the music has a lot to do of course, but Miika has the skill to create emotions in the viewer with little subleties. May this bring harmony and joy to you, and inspire to create also!