Euclid Quote by Matt Parker
““Much as Euclid proved that there can only ever be five 3d Platonic solids, over two millennia later Schafli proved that there are definitely only six Platonic solids in 4D.””
About This Quote
Source Presentation: YouTube video “The Geometry of Platonic Solids”, 2019
Euclid identified five regular solids in three dimensions; later Schläfli extended the concept to six regular solids in four dimensions.
In simple terms: Five solids in 3D, six in 4D.
Key Takeaway
Explore higher‑dimensional geometry.
Themes
mathematics
geometry
history of math
dimensions
Mood
educational
inquisitive
Type
explanatory
technical
When to use this quote
- teaching
- public lectures
- educational content
- math outreach
Key Concepts
regular polytopes
topology
mathematical discovery
Questions to Reflect On
- How would you explain 4‑D shapes to a layperson?
- What does this tell us about the limits of intuition?
A Different Perspective
Higher‑dimensional concepts can be abstract and hard to visualize.
![“As to writing another book on geometry [to replace Euclid] the middle ages would have as soon thought of composing another New Testament.” quote by Augustus De Morgan](https://sms4smile.com/quotes/img-quotes/ed4/augustus-de-morgan-18916_age_as-to-writing-another-book-on-geometry-t_584350.jpg)
![“[T]he 47th proposition in Euclid might now be voted down with as much ease as any proposition in politics; and therefore if Lord Hawkesbury hates the abstract truths of science as much as he hates concrete truth in human affairs, now is his time for getting rid of the multiplication table, and…” quote by Sydney Smith](https://sms4smile.com/quotes/img-quotes/709/sydney-smith-6523_abstract_t-he-47th-proposition-in-euclid-might-no_463551.jpg)
