Shape book cover

Shape by Jordan Ellenberg Summary

Shape
Jordan Ellenberg
3.67 (3 Reviews)
Science
Philosophy
Politics
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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Explora Tu Forma de Aprender
Resumen Rápido9min

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Análisis Profundo42min

Convierte el conocimiento en ideas atractivas y llenas de ejemplos

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Disfruta el libro de una manera divertida y atractiva

Más Como Este

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.

2

How Lincoln Built Arguments and When Holes Become Dimensions

3

The Geometry That Broke Physics and Transformed Our Universe

4

Why Polls Work, Why They Fail, and the Law of Anti-Averages

5

The Geometry of Impossible Perfection and How Machines Learn to See

6

When Democracy Becomes Geometry

7

The Liberation Hidden in Mathematical Truth

Explora Tu Forma de Aprender
Shape no es solo un libro — es una clase magistral en Science. Para ayudarte a absorber sus lecciones de la manera que mejor te funcione, ofrecemos cinco modos de aprendizaje únicos. Ya seas un pensador profundo, un aprendiz rápido o un amante de las historias, hay un modo diseñado para tu estilo.

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Modo Tarjeta Flash - Las 7 Ideas Principales de Shape en Resumen

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Destila Shape en pistas de memoria rápidas que resaltan los principios clave de franqueza, trabajo en equipo y resiliencia creativa.

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Modo Divertido - Lecciones de Shape Contadas en Historias de 22 Min

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Lecciones de Shape Contadas en Historias de 22 Min

Experimenta Shape a través de narraciones vívidas que convierten las lecciones de innovación en momentos que recordarás y aplicarás.

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Creado por exalumnos de la Universidad de Columbia en San Francisco

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@Chloe, Solo founder, LA
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"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
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"Reading used to feel like a chore. Now it’s just part of my lifestyle."

@Erin, Investment Banking Associate , NYC
platform
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254
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@djmikemoore
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star
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@Jaded_Falcon
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@Leo, Law Student, UPenn
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@Cashflowbubu
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star
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@Moemenn
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star
star
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@Chloe, Solo founder, LA
platform
comments
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likes
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"Perfect balance between learning and entertainment. Finished ‘Thinking, Fast and Slow’ on my commute this week."

@Raaaaaachelw
platform
star
star
star
star
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@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

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

@Jaded_Falcon
platform
comments
201
thumbsUp
16

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

@OojasSalunke
platform
star
star
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star
star

"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
star
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