Shaojia@Blog

Which Shapes Are Reachable in Shapez?

Tue, 10 Feb 2026 17:22:38 +0800

Ever since Christmas 2024, when I was still preparing for the NOI Provincial Team Selection Competition (which I would later fail), I had already completed the game Shapez¹ and built a working Everything Machine. Well, accurately speaking, not every shape can be made from it. It’s designed for random 4-layer full shapes, the kind you get in freeplay² (so e.g., rocket shape is excluded). Since then, I’ve been fixated on making a genuine Everything Machine that supports any layer count and fills in the void spaces inside shapes. So the first thing I needed to do was figure out which shapes could actually be built using stackers, rotators, and cutters. I even had a dream back then: if I could fully solve the reachability problem (preferably with an efficient algorithm), I could turn it into an OI problem.

Fisheye Perspective Demos

Mon, 09 Feb 2026 11:38:24 +0800

Originally I scrolled through videos on Bilibili. I found a controversial topic about how to correctly draw a fish-eye perspective picture. Some claim that grid lines are distorted to perfect circles, while others believe ellipses are the correct way to draw it. From what I’ve seen, most artists believe drawing circles is the answer or only teach it. It makes sense since drawing a circle on the paper is way easier than an ellipse.¹

Showcase

Fri, 06 Feb 2026 20:31:17 +0800

This article offers a sample of basic Markdown and LaTeX syntax that can be used in Hugo content files, also it shows whether basic HTML elements are decorated with CSS in a Hugo theme.

Notes on IMO 2025

Fri, 06 Feb 2026 19:21:39 +0800

This post was originally posted on my Cnblogs in summer 2025.
I recently felt like reviewing it again, so I decided to translate it into English and polish it a little.

Disclaimer: I’m not a math-specialized student and I’ve never actually competed in math olympiads.
This article may contain obvious mistakes or non-rigorous steps. I only managed to solve Problems 1, 4, and 6, so these are the only ones covered here.

About

Thu, 05 Feb 2026 20:30:17 +0800

DATA ACQUISITION FORM

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Hello World

Thu, 05 Feb 2026 19:43:07 +0800

Hello, world.

This is the very first article on my new independent blog, built with Hugo and the Terminal theme.

For the past few years most of my writing has been on Cnblogs and Luogu Blog, which are both in Simplified Chinese. From now on, the focus of my blog updates will no longer be on these two platforms. This time I’m starting a new space where I plan to write primarily in English.