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    Shape book cover

    Shape by Jordan Ellenberg Summary

    Shape
    Jordan Ellenberg
    3.67 (3 Reviews)
    SciencePhilosophyPolitics
    Resumen
    Puntos Clave
    Autor
    Preguntas Frecuentes

    Overview of Shape

    In "Shape," mathematician Jordan Ellenberg reveals how geometry secretly governs everything from gerrymandering to biology. Called "unreasonably entertaining" by critics and praised by NYT as America's "favorite math professor," this book transforms abstract mathematics into an essential lens for understanding democracy, finance, and life itself.

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    ”
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    Creado por exalumnos de la Universidad de Columbia en San Francisco

    BeFreed Reúne a una Comunidad Global de Más de 200,000 Mentes Curiosas
    Ver más sobre cómo se habla de BeFreed en la web

    "Instead of endless scrolling, I just hit play on BeFreed. It saves me so much time."

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    "I never knew where to start with nonfiction—BeFreed’s book lists turned into podcasts gave me a clear path."

    @Chloe, Solo founder, LA
    platform
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    117

    "Perfect balance between learning and entertainment. Finished ‘Thinking, Fast and Slow’ on my commute this week."

    @Raaaaaachelw
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    "Crazy how much I learned while walking the dog. BeFreed = small habits → big gains."

    @Matt, YC alum
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    "Reading used to feel like a chore. Now it’s just part of my lifestyle."

    @Erin, Investment Banking Associate , NYC
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    "Feels effortless compared to reading. I’ve finished 6 books this month already."

    @djmikemoore
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    "BeFreed turned my guilty doomscrolling into something that feels productive and inspiring."

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    "BeFreed turned my commute into learning time. 20-min podcasts are perfect for finishing books I never had time for."

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    "Instead of endless scrolling, I just hit play on BeFreed. It saves me so much time."

    @Moemenn
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    "I never knew where to start with nonfiction—BeFreed’s book lists turned into podcasts gave me a clear path."

    @Chloe, Solo founder, LA
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    comments
    12
    likes
    117

    "Perfect balance between learning and entertainment. Finished ‘Thinking, Fast and Slow’ on my commute this week."

    @Raaaaaachelw
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    "Crazy how much I learned while walking the dog. BeFreed = small habits → big gains."

    @Matt, YC alum
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    likes
    108

    "Reading used to feel like a chore. Now it’s just part of my lifestyle."

    @Erin, Investment Banking Associate , NYC
    platform
    comments
    254
    likes
    17

    "Feels effortless compared to reading. I’ve finished 6 books this month already."

    @djmikemoore
    platform
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    "BeFreed turned my guilty doomscrolling into something that feels productive and inspiring."

    @Pitiful
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    "BeFreed turned my commute into learning time. 20-min podcasts are perfect for finishing books I never had time for."

    @SofiaP
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    "BeFreed replaced my podcast queue. Imagine Spotify for books — that’s it. 🙌"

    @Jaded_Falcon
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    "It is great for me to learn something from the book without reading it."

    @OojasSalunke
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    "The themed book list podcasts help me connect ideas across authors—like a guided audio journey."

    @Leo, Law Student, UPenn
    platform
    comments
    37
    likes
    483

    "Makes me feel smarter every time before going to work"

    @Cashflowbubu
    platform
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    "Instead of endless scrolling, I just hit play on BeFreed. It saves me so much time."

    @Moemenn
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    "I never knew where to start with nonfiction—BeFreed’s book lists turned into podcasts gave me a clear path."

    @Chloe, Solo founder, LA
    platform
    comments
    12
    likes
    117

    "Perfect balance between learning and entertainment. Finished ‘Thinking, Fast and Slow’ on my commute this week."

    @Raaaaaachelw
    platform
    star
    star
    star
    star
    star

    "Crazy how much I learned while walking the dog. BeFreed = small habits → big gains."

    @Matt, YC alum
    platform
    comments
    12
    likes
    108

    "Reading used to feel like a chore. Now it’s just part of my lifestyle."

    @Erin, Investment Banking Associate , NYC
    platform
    comments
    254
    likes
    17

    "Feels effortless compared to reading. I’ve finished 6 books this month already."

    @djmikemoore
    platform
    star
    star
    star
    star
    star

    "BeFreed turned my guilty doomscrolling into something that feels productive and inspiring."

    @Pitiful
    platform
    comments
    96
    likes
    4.5K

    "BeFreed turned my commute into learning time. 20-min podcasts are perfect for finishing books I never had time for."

    @SofiaP
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    "BeFreed replaced my podcast queue. Imagine Spotify for books — that’s it. 🙌"

    @Jaded_Falcon
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    "It is great for me to learn something from the book without reading it."

    @OojasSalunke
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    "The themed book list podcasts help me connect ideas across authors—like a guided audio journey."

    @Leo, Law Student, UPenn
    platform
    comments
    37
    likes
    483

    "Makes me feel smarter every time before going to work"

    @Cashflowbubu
    platform
    star
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    1.5K Ratings4.7
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    DiscordLinkedIn
    Resúmenes de libros destacados
    Crucial ConversationsThe Perfect MarriageInto the WildNever Split the DifferenceAttachedGood to GreatSay Nothing
    Categorías en tendencia
    Self HelpCommunication SkillRelationshipMindfulnessPhilosophyInspirationProductivity
    Lista de lectura de celebridades
    Elon MuskCharlie KirkBill GatesSteve JobsAndrew HubermanJoe RoganJordan Peterson
    Colección premiada
    Pulitzer PrizeNational Book AwardGoodreads Choice AwardsNobel Prize in LiteratureNew York TimesCaldecott MedalNebula Award
    Temas destacados
    ManagementAmerican HistoryWarTradingStoicismAnxietySex
    Mejores libros por año
    2025 Best Non Fiction Books2024 Best Non Fiction Books2023 Best Non Fiction Books
    Herramientas de aprendizaje
    Knowledge VisualizerAI Podcast Generator
    Autores destacados
    Chimamanda Ngozi AdichieGeorge OrwellO. J. SimpsonBarbara O'NeillWinston ChurchillCharlie Kirk
    BeFreed vs otras apps
    BeFreed vs. Other Book Summary AppsBeFreed vs. ElevenReaderBeFreed vs. ReadwiseBeFreed vs. Anki
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    Puntos Clave

    1

    The Strange Power Hidden in Shapes

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    Here's a puzzle that went viral across the internet, from philosophy journals to bodybuilding forums: How many holes does a straw have? Zero? One? Two? The debate reveals something profound-we lack a shared language for describing the most basic features of reality. Yet geometry offers exactly that language, one so fundamental that even under the influence of psychedelics, when higher reasoning dissolves, pure geometric forms emerge first in human consciousness. From pandemic modeling to artificial intelligence, from democratic redistricting to quantum physics, geometry permeates every aspect of modern life. It's not a dusty relic from high school but a living language evolving faster than ever before, shaping how we understand everything from disease spread to whether our votes actually count. The straw debate has merit because each position reveals flaws in our intuition. The "zero holes" argument fails because bagels clearly have holes. The "two holes" position can't define where one hole ends and another begins. The "one hole" theory seems reasonable until you apply it to human anatomy. Topology offers a way forward by focusing on essential properties while ignoring irrelevant details.

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    The Geometry That Broke Physics and Transformed Our Universe

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    The Geometry of Impossible Perfection and How Machines Learn to See

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    When Democracy Becomes Geometry

    7

    The Liberation Hidden in Mathematical Truth