A friend has sent me an interesting meta-puzzle, but we need to start with the first one.

Attached is a black and white figure divided into four regions. That challenge is to divide the white regions into 2, 3, 4, and 5 congruent pieces.

More explicitly, one of the white regions will be subdivided into 2 congruent regions. Another into 3, and so on.

Can you find a solution?

The second phase will follow later, but I think this is interesting enough in its own right.

Please put solutions and spoilers behind a CW.

PS: Classical methods and constructions only. We're in Puzzle World, not Crypto World.

#RecMaths #RecMath #Math #Maths #MathsPuzzle #MathPuzzle #Geometry #GeometryPuzzle

Continuing the series of videos of #G4G15 :

Sabetta Matsumoto:
Bending Seams - How to Create Couture Curves

https://www.youtube.com/watch?v=vMa6RIi42L4

From the playlist:

https://www.youtube.com/playlist?list=PL5_D5QQxvWKUPpMY3eNV-PrIzh1uHlR8x

All part of the #G4G series of videos:

https://www.youtube.com/@G4GCelebration/playlists

Boosts welcome (if content to do so)
Please share!

#RecreationalMaths #RecMaths
#RecreationalMath #RecMath
#MTBoS #MathEd #MathEdChat

Sabetta Matsumoto - Bending Seams — How to Create Couture Curves - G4G15 February 2024

YouTube
Bjoern Muetzel - Apollonian Dream - G4G15 February 2024

YouTube

Continuing the series of videos of #G4G15 :

Spandan Bandyopadhyay:
The Egg Sandwich Problem

https://www.youtube.com/watch?v=vLUBX3q38oQ

From the playlist:

https://www.youtube.com/playlist?list=PL5_D5QQxvWKUPpMY3eNV-PrIzh1uHlR8x

All part of the #G4G series of videos:

https://www.youtube.com/@G4GCelebration/playlists

Boosts welcome (if content to do so)

#RecreationalMaths #RecMaths
#RecreationalMath #RecMath
#MTBoS #MathEd #MathEdChat

Spandan Bandyopadhyay - The Egg Sandwich Problem - G4G15 February 2024

YouTube

Continuing the series of videos of #G4G15 :

George Hart, Abraham Sharp and the "Sharpohedron"

https://www.youtube.com/watch?v=0K_0vMrZBjc

From the playlist:

https://www.youtube.com/playlist?list=PL5_D5QQxvWKUPpMY3eNV-PrIzh1uHlR8x

All part of the #G4G series of videos:

https://www.youtube.com/@G4GCelebration/playlists

Boosts welcome (if content to do so)

#RecreationalMaths #RecMaths
#RecreationalMath #RecMath
#MTBoS #MathEd #MathEdChat

George Hart - Abraham Sharp and the "Sharpohedron" - G4G15 February 2024

YouTube

Continuing the series of videos of #G4G15 :

Tanya Khovanova: My Favorite Math Jokes

https://www.youtube.com/watch?v=zNQLCR0yz2A

From the playlist:

https://www.youtube.com/playlist?list=PL5_D5QQxvWKUPpMY3eNV-PrIzh1uHlR8x

All part of the #G4G series of videos:

https://www.youtube.com/@G4GCelebration/playlists

Boosts welcome (if content to do so)

#RecreationalMaths #RecMaths
#RecreationalMath #RecMath
#MTBoS #MathEd #MathEdChat

Tanya Khovanova - My Favorite Math Jokes - G4G15 February 2024

YouTube

We continue the series of videos of #G4G15 :

Robin Houston:
Polyhedra Whose Faces Meet at Right-Angles Except on One Edge

https://www.youtube.com/watch?v=eru0lAuqLzU

From the playlist:

https://www.youtube.com/playlist?list=PL5_D5QQxvWKUPpMY3eNV-PrIzh1uHlR8x

All part of the #G4G series of videos:

https://www.youtube.com/@G4GCelebration/playlists

Boosts welcome (if content to do so)

#RecreationalMaths #RecMaths
#RecreationalMath #RecMath
#MTBoS #MathEd #MathEdChat

Robin Houston - Polyhedra Whose Faces Meet at Right-Angles Except on One Edge - G4G15 February 2024

YouTube
Maths Week England - Maths Week England

Maths Week England 202615-21 November Days Hours Minutes Highlights from Maths Week England 2025 MWE Welcome Puzzle Welcome to Maths Week England! Our founder, Andrew Jeffrey, brings you a puzzle […]

Maths Week England

Continuing the series of videos of #G4G15 :

Scott Vorthmann: The Virtual Fifty-Nine Icosahedra

https://www.youtube.com/watch?v=NP4PN1tgGvU

From the playlist:

https://www.youtube.com/playlist?list=PL5_D5QQxvWKUPpMY3eNV-PrIzh1uHlR8x

All part of the #G4G series of videos:

https://www.youtube.com/@G4GCelebration/playlists

Boosts welcome (if content to do so)

#RecreationalMaths #RecMaths
#RecreationalMath #RecMath
#MTBoS #MathEd #MathEdChat

Scott Vorthmann - The Virtual Fifty-Nine Icosahedra - G4G15 February 2024

YouTube

We continue the series of videos of #G4G15 :

This is quite simply astonishing:

Bob Hearn:
The Magnetic Fifty-Nine Icosahedra

https://www.youtube.com/watch?v=pxsT-uavzug&list=PL5_D5QQxvWKUPpMY3eNV-PrIzh1uHlR8x&index=2

From the playlist:

https://www.youtube.com/playlist?list=PL5_D5QQxvWKUPpMY3eNV-PrIzh1uHlR8x

All part of the #G4G series of videos:

https://www.youtube.com/@G4GCelebration/playlists

Boosts welcome (if content to do so)

#RecreationalMaths #RecMaths
#RecreationalMath #RecMath
#MTBoS #MathEd #MathEdChat

Bob Hearn - The Magnetic Fifty-Nine Icosahedra - G4G15 February 2024

YouTube