The Land of Thought and Flow (abbreviated as LOTAF) is Terezi Pyrope's planet in the Medium. The sky appears to be made of enormous neurons flashing with impulses. The symbol for Mind resembles one of the stylized neurons as they are seen in the sky here. The landscape is covered in hills and ruins that resemble Roman Courthouses. Rivers flow throughout the land, over hills and through ruins.

The underlings of this planet are composed of grist that is dark red (carmine) in color, possibly the same substance that the planet's rivers flow with. One of the largest monsters so far has been seen roaming this planet.

Judging by the statues Terezi draws on, and her familiarity with them, the Consorts of this land are likely Crocodiles.

Terezi spent some time exploring her planet alone until she was joined by Karkat Vantas. Karkat then left to the next planet as Terezi stayed behind. She was then contacted by her exile.

LOTAF was destroyed with the other eleven planets when Jack Noir rampaged through the troll session.

Homestuck locationsv·d·e
Residences
John's house John's bedroom	Rose's house Rose's bedroom	Dave's house Dave's bedroom	Jade's house Jade's bedroom
Jane's house Jane's bedroom	Roxy's house Roxy's bedroom	Dirk's house Dirk's bedroom	Jake's house Jake's bedroom
Aradia's hive	Tavros's hive	Sollux's hive	Karkat's hive
Nepeta's hive	Kanaya's hive	Terezi's hive	Vriska's hive
Equius's hive	Gamzee's hive	Eridan's hive	Feferi's hive
Calliope and Caliborn's room
Planets
Land of Wind and Shade	Land of Light and Rain	Land of Heat and Clockwork	Land of Frost and Frogs
Land of Crypts and Helium	Land of Pyramids and Neon	Land of Tombs and Krypton	Land of Mounds and Xenon
Land of Quartz and Melody	Land of Sand and Zephyr	Land of Brains and Fire	Land of Pulse and Haze
Land of Little Cubes and Tea	Land of Rays and Frogs	Land of Thought and Flow	Land of Maps and Treasure
Land of Caves and Silence	Land of Tents and Mirth	Land of Wrath and Angels	Land of Dew and Glass
Caliborn's planets
Incipisphere
Skaia – Prospit – Derse – The Medium – The Veil – Furthest Ring
Pre-scratch future Earth
Skyship Base – Helipod Base – Eggy-Looking Base – Bec Head Base – Can Town
Other locations
Alternia – Earth (post-scratch future · far future) – Dream bubbles Frog Temple – Pacific Island – Ectobiology Lab – Skaianet Laboratory