Euclid's Elementals by avareii
Ever since you started learning to summon spirits and bind demons, a part of you hoped for the chance to practice your craft within a truly great summoning circle. The Great Circle adjacent to Mauna Loa, perhaps, or one of the casting circles of the hidden Bermuda Archipelago.
Well, now you have your chance. This circle is the greatest of them all, squirrelled away at the heart of Greenland and nestled adjacent to every natural wonder a wizard can imagine.
Windows Download (Post Jam)

Arctic floes on one side, and a recently-erupted volcano on another. Forests, grasslands, cliffsides.

The space between the worlds is thin here: you can touch the Platonic Realm, and it can touch you.

This place is teeming with elemental spirits. You'll have to use every bit of skill at your disposal to manage this mess.
That, and a completely unreasonable amount of chalk.

Draw geometric shapes to control and capture the elemental spirits. Repurpose elemental spirits to give you abilities and buffs. But watch out! The spirits are dangerous, and once The Summoning has begun, you must either complete it or die trying.
Controls:
- Move the mouse to control the player.
- Arrow keys or WASD to move the camera.
- Left click to select a point.
- Space to toggle between drawing a line and a circle.
- CTRL+R to restart the game.
- ESC, P or M to pause and bring up the menu.
- TAB or C to pause and bring up the grimoire.
Sandbox
Puzzling out the construction of grand Lattices of Power takes a bit of work, but a feeling of true wizardy awaits those who master the ways of circles and lines. Inquisitive apprentices may wish to use the sandbox for a pressure-free space to experiment. - Open the Menu and click 'Switch to Sandbox' - Click 'Switch to Base' in the menu to return to The Summoning.
If you manage to draw something particularly intricate, we'd love to see screenshots!
Note on operating systems and versions
We recommend downloading 105Bugfix. It just contains a fix for a rare sigil creation bug.
The bottom link is a post jam version with a few graphical improvements and more hints. Anyone not rating games should follow the link to the release page on github and download this one.
We haven't tested the .love on Mac or Linux. It probably doesn't work on Mac.
Ratings
| Overall | 322th | 3.804⭐ | 25🧑⚖️ |
| Fun | 336th | 3.717⭐ | 25🧑⚖️ |
| Innovation | 19th | 4.304⭐ | 25🧑⚖️ |
| Theme | 454th | 3.826⭐ | 25🧑⚖️ |
| Graphics | 768th | 3.457⭐ | 25🧑⚖️ |
| Audio | 280th | 3.717⭐ | 25🧑⚖️ |
| Humor | 616th | 2.974⭐ | 21🧑⚖️ |
| Mood | 616th | 3.523⭐ | 24🧑⚖️ |
| Given | 34🗳️ | 32🗨️ |
@drgcandle a fragile mix of respect and disrespect for mathematics. To be fair, the more extreme approximations were only used while debugging to check whether I was going insane.
Could stay for hours in that sandbox trying to find any fancy way to make a lot of forms *-*
Like i said, i also really like the gameplay, having to doge enemies while trying to draw good shapes to fight them is certainly hard, but its such an innovative idea of gameplay, well done all of you, great entry!
(please don't try to play it directly in the embed the sound's broken and the loadtime is awful)
I didn't really get the machanics how the sigils and lines fade away. They just got easily destroyed by the overwhelming element enemies. But I managed to get a score above 100.

I drew a tutorial of generating 90 degree angles **for other players**. If you are struggling about geometry, you can take a look!

By the way, there is SOMETHING...

Float point error! Euclid's disaster! XD
It doestn't matter that much though, since the problem itself is not numerically stable.
After all 10 out of 10 innovative. Excellent work!
once you get the hang of it the game is pretty repetitive, but the process of getting hang of it is so much fun, that this game is simply one of my favorites in this ludum dare! thank you all so much for such experience
Congrats on the submission!
Amazing concept for a game, and thank you for bringing me back some forgotten knowledge! Great job!
So anyway, this game commits that cardinal sin of making the player feel stupid and uneducated, but still deserves high marks due to originality, effort involved, and actually making me play for quite a while.
I’ve had a great time tilting triangles, squares, and hexes. My top score so far is 380, and I haven’t been able to get an octagon to register yet (and not for a lack of trying). I’ll definitely be back to check out the post jam version, and would love to see a more polished and fleshed out version.
From a technical side, I’m impressed that you managed to get this working as tracking all these circles/lines/intersection points looks like a very cursed problem (detecting intersection points, detecting shapes, floating point rounding errors, etc.). I’ve definitely gotten into situations where I’m constructing triangles and squares, but they don’t register as shapes. I wonder if this is a detection bug, or if the game simply does not allow you to re-make the same shapes after they’re used up.
In terms of game design, I like what you’ve done, and could see how this could be extended with attaching more mechanics (walls/turrets/traps) to shapes/symmetries. However, I feel that the game is a little too cognitively taxing to keep up with running away while drawing and attempting to make new shapes.
I like the music and how it captures the clashing element idea, it reminds me of the Rite of Spring. However I did end up turning it off after my first few runs as I found the game to be a little less stressful without it.
The dark souls of geometry.