That black hole in the left halfspace is Norway’s biggest achievement here
July 5, 2026 at 8:45 PM
That black hole in the left halfspace is Norway’s biggest achievement here
Arsenal are doing the Mike Dean thing but where they try to never leave the right halfspace
September 6, 2026 at 4:29 PM
Arsenal are doing the Mike Dean thing but where they try to never leave the right halfspace
Came away extremely impressed with Real Salt Lake's new DP Morgan Guilavogui last night — good vision, distribution, and speed.
The 27-year-old was hugely impactful in the right halfspace in his debut.
The 27-year-old was hugely impactful in the right halfspace in his debut.
March 1, 2026 at 2:30 PM
Came away extremely impressed with Real Salt Lake's new DP Morgan Guilavogui last night — good vision, distribution, and speed.
The 27-year-old was hugely impactful in the right halfspace in his debut.
The 27-year-old was hugely impactful in the right halfspace in his debut.
what is Mark Clattenberg talking about the attacker is in the right wing / halfspace and even if he can turn and get in behind he's looking at mayyyyyyyybe 0.1 xG chance tops that's never a red
June 11, 2026 at 9:00 PM
what is Mark Clattenberg talking about the attacker is in the right wing / halfspace and even if he can turn and get in behind he's looking at mayyyyyyyybe 0.1 xG chance tops that's never a red
By Brazil's standards, this squad isn't especially fun or creative, but they still have one big idea: get the ball in the general vicinity of Vini Jr.
@snaves.bsky.social on the Brazilian love affair with the left halfspace:
@snaves.bsky.social on the Brazilian love affair with the left halfspace:
Brazil only have one idea left
But there are worse plans than "get the ball to Vini in the left halfspace"
futiapp.substack.com
June 20, 2026 at 10:54 PM
By Brazil's standards, this squad isn't especially fun or creative, but they still have one big idea: get the ball in the general vicinity of Vini Jr.
@snaves.bsky.social on the Brazilian love affair with the left halfspace:
@snaves.bsky.social on the Brazilian love affair with the left halfspace:
Surprise! I’m back again, talking about Brasil for @futi.live open.substack.com/pub/futiapp/...
Brazil only have one idea left
But there are worse plans than "get the ball to Vini in the left halfspace"
open.substack.com
June 20, 2026 at 10:53 PM
Surprise! I’m back again, talking about Brasil for @futi.live open.substack.com/pub/futiapp/...
Not sure I get the choice to move Diomande into the halfspace this game. The wide dribbly boi thing was working pretty well!
June 30, 2026 at 5:58 PM
Not sure I get the choice to move Diomande into the halfspace this game. The wide dribbly boi thing was working pretty well!
Change for the USMNT coming out of halftime:
McKennie now in the left halfspace, on Weah's side. Pulisic right, and will probably play wider — to address this problem...
McKennie now in the left halfspace, on Weah's side. Pulisic right, and will probably play wider — to address this problem...
Thierry is preaching the gospel. There’s no space in the middle, have to play out wide. The ball is finding Yunus a lot & he’s not dynamic enough out there. Need someone to beat a man
March 21, 2025 at 12:03 AM
Change for the USMNT coming out of halftime:
McKennie now in the left halfspace, on Weah's side. Pulisic right, and will probably play wider — to address this problem...
McKennie now in the left halfspace, on Weah's side. Pulisic right, and will probably play wider — to address this problem...
Right halfspace Goal Palmer I was not familiar with your game
July 13, 2025 at 7:41 PM
Right halfspace Goal Palmer I was not familiar with your game
Different rotations from Arsenal against Chelsea to create advantages in possession:
1⃣ Rice deep in the left back position with Timber high in the halfspace, making runs between RB and RCB.
2⃣ Partey as a 3rd CB, Saka inside, creating space for White to run behind the defensive line.
1⃣ Rice deep in the left back position with Timber high in the halfspace, making runs between RB and RCB.
2⃣ Partey as a 3rd CB, Saka inside, creating space for White to run behind the defensive line.
November 13, 2024 at 12:49 PM
Different rotations from Arsenal against Chelsea to create advantages in possession:
1⃣ Rice deep in the left back position with Timber high in the halfspace, making runs between RB and RCB.
2⃣ Partey as a 3rd CB, Saka inside, creating space for White to run behind the defensive line.
1⃣ Rice deep in the left back position with Timber high in the halfspace, making runs between RB and RCB.
2⃣ Partey as a 3rd CB, Saka inside, creating space for White to run behind the defensive line.
For #MNUFC, @backheeled.com has "halfspace attacker (playmaker)" as the biggest need this transfer window.
Definitely in my top 3.
Definitely in my top 3.
The summer transfer window is open, y'all. Oh, and MLS is (almost) back.
For @backheeled.com I broke down the biggest need for all 30 teams.
Read ⤵️
For @backheeled.com I broke down the biggest need for all 30 teams.
Read ⤵️
What each MLS team needs in the summer transfer window
MLS's transfer window is officially open. What should your team get up to?
www.backheeled.com
July 14, 2026 at 10:07 PM
For #MNUFC, @backheeled.com has "halfspace attacker (playmaker)" as the biggest need this transfer window.
Definitely in my top 3.
Definitely in my top 3.
Do you want to see the funniest GPU bug I've ever encountered?
github.com/mkeeter/half...
tl;dr: I bitcast a u32 into the w component of a f32x4 texture. This produced a denormalized float, which the GPU promptly rounded to 0.0; when I bitcast back out of that field, it was 0u32.
github.com/mkeeter/half...
tl;dr: I bitcast a u32 into the w component of a f32x4 texture. This produced a denormalized float, which the GPU promptly rounded to 0.0; when I bitcast back out of that field, it was 0u32.
3D shaded view not working on chrome and edge · Issue #1 · mkeeter/halfspace
This is a fascinating project. I was testing the halfspace demo and found the 3D shaded view not working in chrome and edge on windows. It's working fine in iOS and iPad OS.
github.com
April 15, 2026 at 6:29 PM
Do you want to see the funniest GPU bug I've ever encountered?
github.com/mkeeter/half...
tl;dr: I bitcast a u32 into the w component of a f32x4 texture. This produced a denormalized float, which the GPU promptly rounded to 0.0; when I bitcast back out of that field, it was 0u32.
github.com/mkeeter/half...
tl;dr: I bitcast a u32 into the w component of a f32x4 texture. This produced a denormalized float, which the GPU promptly rounded to 0.0; when I bitcast back out of that field, it was 0u32.
Couldn't do much better if you want to replace Cristian Parano in the right halfspace and start to make up for Rodrigo Lopez's retirement. Rodriguez is the sort of consistent creative presence that ought to thrive for Sacramento.
December 11, 2025 at 11:25 PM
Couldn't do much better if you want to replace Cristian Parano in the right halfspace and start to make up for Rodrigo Lopez's retirement. Rodriguez is the sort of consistent creative presence that ought to thrive for Sacramento.
Phenomenal pickup from the Fire, who look poised to be even better in ‘26 than they were this year.
Lod can play as an 8 or a 10 or even a winger in the 4-3-3 or he can play as an 8 or a halfspace guy in the 3-4-3.
He adds both quality and versatility ✅
Lod can play as an 8 or a 10 or even a winger in the 4-3-3 or he can play as an 8 or a halfspace guy in the 3-4-3.
He adds both quality and versatility ✅
🗣️ Because maybeeeeeee
Robin is in Chicago babyyyyyyy
And after alllllll
We signed Robin Lodddddddd 🗣️
We have acquired Finland National Team midfielder Robin Lod as a free agent. #cf97
Robin is in Chicago babyyyyyyy
And after alllllll
We signed Robin Lodddddddd 🗣️
We have acquired Finland National Team midfielder Robin Lod as a free agent. #cf97
December 27, 2025 at 2:07 PM
Phenomenal pickup from the Fire, who look poised to be even better in ‘26 than they were this year.
Lod can play as an 8 or a 10 or even a winger in the 4-3-3 or he can play as an 8 or a halfspace guy in the 3-4-3.
He adds both quality and versatility ✅
Lod can play as an 8 or a 10 or even a winger in the 4-3-3 or he can play as an 8 or a halfspace guy in the 3-4-3.
He adds both quality and versatility ✅
One other point: the only place on the field Clark’s impressed at is playing as a left halfspace attacker off a true forward. It’ll be… interesting to see how he does on the right side here.
January 18, 2025 at 7:54 PM
One other point: the only place on the field Clark’s impressed at is playing as a left halfspace attacker off a true forward. It’ll be… interesting to see how he does on the right side here.
Every cross from that same halfspace is terrifying. Someone, (ahem Xavi) needs to defend those
April 18, 2026 at 5:37 PM
Every cross from that same halfspace is terrifying. Someone, (ahem Xavi) needs to defend those
Griffin Dorsey won't be Alex Freeman, but he's an above-average MLS starter who can slot right in at RB, hold the width, and let Marco Pasalic find the game in the right halfspace.
Not cheap, but a useful pickup for Orlando.
Curious to see how Houston fill their hole at RB.
Not cheap, but a useful pickup for Orlando.
Curious to see how Houston fill their hole at RB.
🟣 BREAKING: Orlando City has acquired wingback Griffin Dorsey from Houston Dynamo, per sources.
Trade worth $1m GAM + add ons.
Dorsey, 26, had been Houston’s starter for better part of five seasons. Entering last year of contract.
Becomes starter for Orlando at RB.
Trade worth $1m GAM + add ons.
Dorsey, 26, had been Houston’s starter for better part of five seasons. Entering last year of contract.
Becomes starter for Orlando at RB.
February 17, 2026 at 6:20 PM
Griffin Dorsey won't be Alex Freeman, but he's an above-average MLS starter who can slot right in at RB, hold the width, and let Marco Pasalic find the game in the right halfspace.
Not cheap, but a useful pickup for Orlando.
Curious to see how Houston fill their hole at RB.
Not cheap, but a useful pickup for Orlando.
Curious to see how Houston fill their hole at RB.
This move is now official...
With Tim Ream playing at left back and Wilfried Zaha preferring the halfspace rather than the wing, Charlotte FC's left side has been unbalanced and sluggish early in 2025.
Smart move from the FO to add another option at left back. Could help get the most out of Zaha.
With Tim Ream playing at left back and Wilfried Zaha preferring the halfspace rather than the wing, Charlotte FC's left side has been unbalanced and sluggish early in 2025.
Smart move from the FO to add another option at left back. Could help get the most out of Zaha.
Sources: Charlotte FC finalizing a deal to sign left back Souleyman Doumbia on loan from Standard Liege. sudinfo_be 1st.
Doumbia, 28, has been with Liege for two years. Product of PSG’s academy.
Doumbia, 28, has been with Liege for two years. Product of PSG’s academy.
March 12, 2025 at 4:01 PM
This move is now official...
With Tim Ream playing at left back and Wilfried Zaha preferring the halfspace rather than the wing, Charlotte FC's left side has been unbalanced and sluggish early in 2025.
Smart move from the FO to add another option at left back. Could help get the most out of Zaha.
With Tim Ream playing at left back and Wilfried Zaha preferring the halfspace rather than the wing, Charlotte FC's left side has been unbalanced and sluggish early in 2025.
Smart move from the FO to add another option at left back. Could help get the most out of Zaha.
Proper #10 pass that from Bradley. Just standing in the halfspace for a 1-2 around the corner. Castlederg's Messi is having a game!!
Was that Jones in the buildup too?
All Liverpool here. Macca almost gets a 2nd
#LIVRMA #ChampionsLeague #UCL #YNWA #LFC #Liverpool #CasaDaChampions #RealMadrid #RMA
Was that Jones in the buildup too?
All Liverpool here. Macca almost gets a 2nd
#LIVRMA #ChampionsLeague #UCL #YNWA #LFC #Liverpool #CasaDaChampions #RealMadrid #RMA
November 27, 2024 at 9:13 PM
Proper #10 pass that from Bradley. Just standing in the halfspace for a 1-2 around the corner. Castlederg's Messi is having a game!!
Was that Jones in the buildup too?
All Liverpool here. Macca almost gets a 2nd
#LIVRMA #ChampionsLeague #UCL #YNWA #LFC #Liverpool #CasaDaChampions #RealMadrid #RMA
Was that Jones in the buildup too?
All Liverpool here. Macca almost gets a 2nd
#LIVRMA #ChampionsLeague #UCL #YNWA #LFC #Liverpool #CasaDaChampions #RealMadrid #RMA
Huge respect to Japan’s defensive shape, their gameplan is absolutely making life so difficult for Brazil in the left halfspace
But goals change games, and almost immediately Vini gets his first look in that spot. They need to settle down here, the nerves are showing a bit
But goals change games, and almost immediately Vini gets his first look in that spot. They need to settle down here, the nerves are showing a bit
June 29, 2026 at 6:22 PM
Huge respect to Japan’s defensive shape, their gameplan is absolutely making life so difficult for Brazil in the left halfspace
But goals change games, and almost immediately Vini gets his first look in that spot. They need to settle down here, the nerves are showing a bit
But goals change games, and almost immediately Vini gets his first look in that spot. They need to settle down here, the nerves are showing a bit
For example, the simplest problem in machine learning - learning a linear classifier to minimize classification error --is NP hard even to approximate (to distinguish the ability to get 51% accuracy from 99% accuracy). epubs.siam.org/doi/10.1137/... and thus everything more general too.
Hardness of Learning Halfspaces with Noise | SIAM Journal on Computing
Learning an unknown halfspace (also called a perceptron) from labeled examples is one of the classic problems in machine learning. In the noise-free case, when a halfspace consistent with all the trai...
epubs.siam.org
September 14, 2026 at 12:28 PM
For example, the simplest problem in machine learning - learning a linear classifier to minimize classification error --is NP hard even to approximate (to distinguish the ability to get 51% accuracy from 99% accuracy). epubs.siam.org/doi/10.1137/... and thus everything more general too.
James just isn't it. I'd like to see Okafor on if he's fit enough. If not, Harrison. Then move Gnonto to the right so we can get him and Bogle combining. Much prefer Gnonto next to Bogle as it lets Bogle get wide while Gnonto can stick to the halfspace areas. #LUFC
August 30, 2025 at 5:27 PM
James just isn't it. I'd like to see Okafor on if he's fit enough. If not, Harrison. Then move Gnonto to the right so we can get him and Bogle combining. Much prefer Gnonto next to Bogle as it lets Bogle get wide while Gnonto can stick to the halfspace areas. #LUFC
To be clear, I would read literally nothing into the shape up above. Poch hasn't used a 4-2-3-1 in possession once since he took over.
It's been all 3-2-5. So I'd be shocked if Pulisic attacks as a lone No. 10 to start tonight. He'll almost certainly be in that same left halfspace role.
It's been all 3-2-5. So I'd be shocked if Pulisic attacks as a lone No. 10 to start tonight. He'll almost certainly be in that same left halfspace role.
November 19, 2024 at 12:14 AM
To be clear, I would read literally nothing into the shape up above. Poch hasn't used a 4-2-3-1 in possession once since he took over.
It's been all 3-2-5. So I'd be shocked if Pulisic attacks as a lone No. 10 to start tonight. He'll almost certainly be in that same left halfspace role.
It's been all 3-2-5. So I'd be shocked if Pulisic attacks as a lone No. 10 to start tonight. He'll almost certainly be in that same left halfspace role.
He loves the pump into the halfspace so much it makes him counter-press, or something.
February 23, 2025 at 1:52 PM
He loves the pump into the halfspace so much it makes him counter-press, or something.