### Feynman π Point

The Feynman point occurs at the 762nd decimal of π, displaying six consecutive nines (999999). Named after physicist Richard Feynman, he humorously shared, “I once memorized 380 digits of π as a high-school kid. My ambitious goal was the 762nd decimal, where it goes ‘999999.’ I’d recite it, reach those six 9’s, and cheekily say, ‘and so on!’ implying π is rational (which it is not).

### Ship in a Klein Bottle

Embarking on a journey in a Klein bottle? Absolutely. A Klein bottle is a mind-bending non-orientable surface, defying the usual inside-outside norms. Technically, the ship’s navigating the interior…

### Illusion vs Reality

“Illusion, a derivative of reality, and vice versa.” – GS

For a little backstory… one day, a follower threw me a curveball: ‘What separates illusion from reality?’ I countered with a snap response: ‘What separates acceleration from speed?’

### Perception in Motion: Illusion, Confusion, and Zen Insight

Many perceive the two 3D cross-like shapes as moving significantly, though they remain stationary!

The interplay of color shades (light/dark) on the edges and body of the cross-like wire frames creates the illusion of motion. The alternating shadings simulate “motion blur,” leading some researchers to attribute these illusory movements to delays in luminance processing, producing a signal that deceives the motion system and induces “kinetopsia” (motion perception)..

This brings to mind an anecdote: Two Zen monks debated a flag moved by the wind. One claimed, ‘The flag is moving…’ while the other countered, ‘The wind is moving!’ The monastery’s prior intervened, stating, ‘Not the wind, not the flag; the mind is moving…’

This short anecdote serves to explain that the concept and perception of motion is sometimes ambiguous.

### Autokinetic Illusion

Immerse yourself in the mesmerizing experience as blue droplets seemingly sway gracefully, creating an illusion of gentle motion. The yellow horizontal lines contribute to a wave-like dance, enhancing the visual allure.

This op art piece embodies a peripheral drift illusion (PDI), wherein a sawtooth luminance grating in the visual periphery induces the illusion of movement.

Fascinatingly, studies by vision researchers reveal that the illusory motion activates brain regions akin to those triggered by actual movement.

Explore and acquire “Hold On Tight” as prints and posters through our online gallery.

### Wandering Eye

The entire sea urchin functions as a massive compound eye because each of its spines conceals tube feet with light-sensitive cells at their bases. Essentially, a sea urchin is one large, moving, spine-covered eye. While its vision might not astonish an eye doctor, for an animal devoid of actual eyes, it’s rather impressive!

For further details, you can read more here.

### Perceptual Puzzle

Size Distortion: The length and curvature of the blue curves A and B in the diagram are highly deceptive. However, the curves are congruent! This presents an intriguing variation of the Delboeuf illusion, wherein size judgment is distorted by peripheral context.

### Impossible Paper Turn-up

Let’s explore a captivating paper-folding puzzle, part of the impossible origami family. It is simple to carry out and can be done at any moment.

Cut a 10-centimeter-wide strip from a two-colored sheet (in our case, yellow and red). Make sure the paper strip is at least 24-25 cm long! By gluing the ends together, you may turn this strip into a ring, as shown below. The goal is to create a turn-up in the ring without tearing it… Impossible? Many of your friends will attempt, but the outcome will always be negative.

This is how the trick works:

Flatten the paper ring and fold the top edge by 2-3 cm (see fig. 1). Unfold only the single top layer of the fold, creating two triangular folds at each corner of the flattened ring (fig. 2). Next, fold the two outer edges along the base of the flattened triangles (fig. 3). Then, fold the outer edge upstream. This way, a folded edge is now on each face of the flattened ring.

Now, insert your fingers inside the ring, firmly holding one corner between your thumbs and index fingers. Carefully separate your hands, pulling the sheet at the corner, releasing the excess paper hidden between the folds (fig. 5a and 5b). Repeat on the other corner. Finally, rearrange the paper ring, smoothing out the visible folds. The top edge of the ring is now completely turned on itself, creating a perfect turn-up without tears. Who would have thought? Congratulations, magician!

### Egguation

Solve for the perfect omelette with this eggcellent formula!

In fact, if you graph x2 + y2 = 2y, you will obtain a flawless egg shape:

However, there are also other methods to create a perfect ovoid shape using a compass and ruler, as illustrated below.