Miegakure is coming along great. All the puzzles have been done for almost a year now. I have polished many parts of the game, in areas such as graphics and sound, but a few more remain.
As an example of polish, I recently improved the lighting, which was difficult because the game is so dynamic it is not possible to precompute in advance where the light bounces, as most games do. I came up with with a novel way to do it and looks amazing and I can’t wait to show it soon.
The largest task for me personally now is to go through the remaining levels and place objects and generally make them look as pretty as the levels we have shown so far. I get to make more cool 4D objects too, which I also can’t wait to show. I have a few videos planned on them and other things.
By the way, I recently noticed the Miegakure videos have been viewed over a million and a half times! This makes me happy because even though the game is not out yet it has already done a lot of good for the world, with hundreds of people saying the above video is “the best explanation of 4D they have ever seen.” Not many games have trailers that stand on their own as useful things. It’s also good because a lot of what I say in the videos cannot be said via the game, because games should mostly teach non-verbally, so they are complementary.
To the people who have been waiting for a long time, thank you for your patience. I am making sure the game that comes out will be accessible and beautiful so that more people can experience how amazing the concept of 4D is.
I will do a bunch of blog posts in the next few weeks, talking about the lighting, the world building we have been doing, etc…
We are working on making every level in the game beautiful right now! Here is quick nice-looking video to make you happy!
Old tales say that deep within the Ancient’s Grove one can sometimes find scattered stone pillars, remnants of the old gods and those who worshiped them. Some people even claim they have seen stones levitate above the ground, held in place by a strange power.
But as you may start to know by now, it is not quite as it seems.
First, if you haven’t seen the game yet, this video is a good introduction:
This is way to much detail and nothing explained here is required to play the game, but I still think it’s really cool.
Spherinder Columns
The columns are in fact spherinders, which are one way to generalize the concept of a cylinder to four dimensions.
A cylinder can be thought of as a circle that has been extruded upwards (perpendicular to the plane of the circle).
In a similar way, a spherinder is a sphere that has been extruded in the fourth dimension (perpendicular to all 3 directions of the sphere).
Depending on how you slice a cylinder with a plane you might get a circle, an ellipse (if slicing at an angle), or a rectangle (if slicing straight down the main axis). (One may also get a truncated ellipse if the slice goes through the top end of the cylinder)
Rotating a cylinder while stuck in a 2D plane
Similarly, if you slice a spherinder with a 3D plane you might get a sphere, an ellipsoid (if slicing at an angle), or a cylinder (if slicing straight down the main axis). (One may also get a truncated ellipsoid if the slice goes through the top end of the spherinder)
Rotating 3D Cross Section of a 4D Spherinder (source)
Many of the spherindrical pillars found in this grove have tilted over the ages, and so one may look at many different slices of them. The ones still standing straight will look like cylinders, but the tilted ones may look like floating ellipsoids. Look for the one that has completely fallen to the ground and hence sometimes appears as a sphere.
Concentric Spheres Carved into the Ground
While dirt and moss have mostly reclaimed the area, one can still see that around each spherinder the stone surface was carved in a series of concentric spheres. Yes, an entire 3D sphere can lay flat on the ground in 4D!
In a 3D game the ground is 2D, and so in a 4D game the ground is 3D. That means that if you are standing on the ground there are six possible directions you may go: forward/backward, left/right, and ana/kata. However, in the game, because you are only seeing a 3D slice of the 4D world, you only see a 2D slice of the 3D ground at any given time (only two pairs of directions out of three).
And therefore the concentric spheres look like concentric circles to a regular 3D person. Depending on which slice a person sees, the circles might look larger or smaller (if one takes a slice near the side of the sphere the circles will be smaller than if the slice is taken near the middle of the sphere).
Because the spherinder lies in the center of the sphere pattern, during the transition (when the character changes which way they are facing i.e. the orientation of their slice), one can see each spherical pattern “anticipate” or “follow” the spherinder that stands at its center: the circles grow larger before the spherinder is about to become visible, and after the spherider disappears the circles shrink. I think this effect looks so freaking great!
4D Grass
Other curious things one may find in the Ancient’s Grove are blades of grass that appear to float in mid-air. This is because the point at which they grow out of the ground is out of sight in the fourth dimension. (The same effect makes certain slices of spherinders look like floating ellipsoids) Some grass bunches are more prone to this effect, based on which direction their blades tend to grow.
Seeing Inside Trees
While the character is facing the fourth dimension, they may also examine the inside of the Birch trees. This is just like how for a 2D being a house only needs four walls but us 3D beings can see inside the house by just looking at it from the third dimension.
I love how art and mathematics blend in this game!
