creator of aftermatter corp. (github.com/aftermatter), shrike ⚡︎, contextplus (2k) and cargo install safeinstall. forloop@poke.com
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Sure! Here's how the tightest (known) packing of 67, 6767 and 676767 squares in a larger square looks like:
I made the most optimized algorithm to find out the tightest packing of n smaller squares in a larger square
test it out: forloopcodes.github.io/least… (runs on your gpu)
more details:
input: n (number of squares)
intermediate: s (side length)
output: [[x, y, angle]*n] (array of position of each square)
solver (squarepack): pack(n) returns (s, [[x, y, angle], …])
scale: n=100000 in about 4 s, 0.08 s in browser, n=1000001 in 0.2 s.
verifier: p_ij = ½ + (|cos φ| + |sin φ|)/2 − max_a |a·(c_i − c_j)|, φ = θ_j − θ_i
flow:
1. best of all in O(n): Grid ⌈√n⌉, Göbel strip/square families, L-extensions, the √7 family, DeVincentis,Wainwright 19, Schadt 50/171
2. cache lookup
3. tilted-block search: p×q block rotated 45°, remaining space filled by walls anchoring
4. numerical compaction: Penalty energy E = Σ max(0,penetration)² + Σ max(0,protrusion)², analytic gradient, L-BFGS, shrink s by bisection, basin-hopping.
github: github.com/forloopcodes/leas…
I'm sure you always wanted to know how the tightest (known) packing of "n" squares within a larger square looks like... 😍
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September 2026 Model drop recap:
Claude Fable 5.1
Claude Mythos 5.1
GPT 6 Astra
Qwen3.8 Max
Muse Spark 1.3
Gemini 3.8 Flash
Gemini 3.8 Flash Cyber
Gemini 3.8 Live
TypeSafe AI Jev
Mimo V2.6
Claude Opus 5.5
GPT 6 Sol
GPT 6 Luna
Claude Sonnet 5.5
GPT 6.1 Sol
a triple drop by both openai and anthropic in a single month is insane, imagine what a mess october is going to be
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They released GPT 6 Sol Exactly 1 week ago, I never expected the model release gap to be this small
Introducing 6.1 Sol, near Astra intelligence at one fifth of the price of Astra and 95% cache read discount. It is an absolute workhorse.
Combined with ultrafast for 8X speeded available today for Astra and coming soon for 6.1 Sol.
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OpenAI devday launches
OpenAI dots - another Grok Bots/Muse clone
GPT 6.1 Sol - cheaper Astra, doesn't beat Opus 5.5 yet
Codex Harness redesign - Actually good one
Codex in the Cloud - Claude already had this?
Other Updates:
Codex Security Cloud
Agents API
Voice Team Fired
OpenAI Marketplace
Pro 500
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I’ll explain the new Pro 200 plan differently, before I start live tweeting from DevDay on things that are going out!
Today we are going to ship a number of things that increase what you can do across the Plus and Pro plans. A lot of compute is online for this increase. As we increase the floor, we are changing the relative difference between plans to be
Plus = 1X
Pro 100 = 5X
Pro 200 = 10X
and we are reopening subscriptions for Pro 200 (we had paused it). If you have an existing plan you will keep the 20X multiplier for a bit and also receive a lot of additional credits because we know changes are hard even if it means that everyone will get more in the end.
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using exponential charts to show how smart LLMs are getting overtime is like using exponential charts to show data usage on the internet
you see the chart and think the slope is going to be vertical soon, but that never happens
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wait,
what the hell is OpenAI doing. they’re reducing the $200 plan usage for no reason?
oh wait, nvm. i forgot they’re introducing a $500 tier soon.
i guess the usage are like this now.
> $20 → $10.
> $100 → $20.
> $200 → $100.
> $500 → $200.
lol, it’s starting. maybe it’s time for everyone to buy a 5090.
Hi,
Tomorrow we are re-opening the Pro $200 subscriptions to new subscribers, but together with it we are also changing how we calculate the usage for it. In effect, if you do the math, it will net out at half the dollar in API spend compared to the old Pro $200 plan.
Now that it's said, let me explain why this is happening and why you will still get more work done than if you were on the Pro $200 subscription one month ago.
(a) We didn't want to compromise in other ways and are committing to not reintroducing the 5h limit, so that you can fully use the weekly usage when you want.
(b) On the subscription, we guarantee that over time you always get more work done and with an increasing level of quality. This means that you will continue to get more value per dollar spent as a result of models getting more efficient and us passing down the improvements in the form of API price reductions.
(c) We don't want to put an incentive on ourselves to artificially inflate the API list prices to make it look like you are getting a lot (and workaround it through discounts, etc). Instead we want to continue to both rapidly reduce prices and increase capabilities of models on the API. This week we introduced GPT-6 Sol and GPT-6 Luna at 50% of their previous price. Over time, we see prices go low enough that it makes sense for most to buy usage as needed without there being a significant gap between what you get in a subscription and what you get in the API for a dollar spent.
(d) Tomorrow, we are adding more things to the subscription that won't draw on the usage, I won't reveal what that is yet.
I wanted to be transparent before all the big announcements tomorrow. Lots of new exciting things are coming to the subscriptions that will make it super compelling, but I wanted to make sure to share this change ahead of time so you can all understand it before we shower you with good news.
Codexingly,
Tibo
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claude: $200 sub gets you ~$9000 worth of usage
openai: $200 sub gets you ~$500 worth of usage
Hi,
Tomorrow we are re-opening the Pro $200 subscriptions to new subscribers, but together with it we are also changing how we calculate the usage for it. In effect, if you do the math, it will net out at half the dollar in API spend compared to the old Pro $200 plan.
Now that it's said, let me explain why this is happening and why you will still get more work done than if you were on the Pro $200 subscription one month ago.
(a) We didn't want to compromise in other ways and are committing to not reintroducing the 5h limit, so that you can fully use the weekly usage when you want.
(b) On the subscription, we guarantee that over time you always get more work done and with an increasing level of quality. This means that you will continue to get more value per dollar spent as a result of models getting more efficient and us passing down the improvements in the form of API price reductions.
(c) We don't want to put an incentive on ourselves to artificially inflate the API list prices to make it look like you are getting a lot (and workaround it through discounts, etc). Instead we want to continue to both rapidly reduce prices and increase capabilities of models on the API. This week we introduced GPT-6 Sol and GPT-6 Luna at 50% of their previous price. Over time, we see prices go low enough that it makes sense for most to buy usage as needed without there being a significant gap between what you get in a subscription and what you get in the API for a dollar spent.
(d) Tomorrow, we are adding more things to the subscription that won't draw on the usage, I won't reveal what that is yet.
I wanted to be transparent before all the big announcements tomorrow. Lots of new exciting things are coming to the subscriptions that will make it super compelling, but I wanted to make sure to share this change ahead of time so you can all understand it before we shower you with good news.
Codexingly,
Tibo
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not to be the openai's fanboy but have you considered that maybe Claude's API costs are absurdly, stupidly overpriced?
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Imagine if this was the endgame and Anthropic actually can sustain their current offering that would be so cool
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