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As you may have noticed, I think instances of percolation are pleasant to look at. This is a thought I had in 2021, where I thought it would look good on, say, a mug. And surely I couldn't have been the only one. So, I got to work, and learned how to make them myself, and now I sell them. While I was at it, I designed a few distributions as well.
Figure 1: Square bond percolation.
Figure 2: Hexagonal site percolation.
Take, for example, the simple square bond percolation: begin with a square grid, and delete edges independently and with probability 50%. Consider the two scenarios below.
SCENARIO 1:
You order two square bond percolation mugs from StochasDesign, in the same colour. When they arrive, you notice they are identical.
SCENARIO 2:
You take 52 standard Rubik's cubes, scrambled, and blindfold yourself. You scramble each one randomly for a while. You then take off your blindfold, and remarkably, all 52 Rubik's cubes are all solved.
Which is less likely? And how much less likely is it? The answer is below Figures 3 and 4, so you have the chance to figure it out yourself, should you wish.
Figure 3: Samples from a normal distribution, and samples from a gamma distribution, in black.
Figure 4: "Our programmers are loving these! Beautiful mugs! Thanks", says Cienna, in their 5 star review.
The answer is that Scenario 1 is less likely, and you're approximately 10 quadrillion times more likely to solve those Rubik's cubes by accident. Fancy your odds? Tell me you came from here by using the code HOMEPAGE10 for 10% off your orders.
Some reviews:
★★★★★ "So glad I made this purchase, the seller was great and even made my color mapping custom. I will be purchasing again for others."
★★★★★ "What a neat concept! Love the color pattern I chose."
★★★★★ "Creative gift for an academic. Quick turnaround, great service."
★★★★★ "Super happy with my purchase! The mug came exactly when it was supposed to, and was wrapped up very well for international travel. I was very happy to see it made it safely, and my friend whose gift it was was also quite pleased with it, especially the color map."
★★★★★ "Father-in-law was very happy with the mug as his Christmas present and liked the uniqueness of it."
★★★★★ "The mug is lovely and arrived very quickly. I'm very pleased"
★★★★★ "Really happy with the mug. Design is clear and the colour is great. Great customer service too including delivery in time for Christmas which was much appreciated."
★★★★★ "Very happy with the mug, love the fact that it is unique. Exactly what I wanted. Thanks Adam!"
★★★★★ "What a great mug! Love the unique pattern and the ability to select different color patterns."
★★★★★ "Super fast delivery, Top quality mug. Ideal gift for Maths lovers. Truly unique."
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