3DXM Minimal Surface Gallery

Classic

catenoid range 001

helicoid catenoid 001

Helicoid-Catenoid

scherk implicit 1 periodic

henneberg patch rot 001

Henneberg Surface

catalan 1 periodic grow 012

Catalan Surface

Enneper Surface

riemann morph 001

Riemann's Surface

Punctured Sphere

double2fold enneper 001

ff wavy k fold enneper 001

Wavy Enneper Surface

planar enneper grow 001

catenoid enneper3 grow 010

Catenoid-Enneper

symmetric 4noid 009

Symmetric 4-noid

skew 4noid toneck 008

saddle tower10 morph 001

twist scherk6 morph 004

lopez ros no go 010

Lopez-Ros No-Go Theorem

catenoid chain 1length8 010

inverted boy polar cap 001

kusner ds 1p 1

Punctured Torus

chen gackstatter 2 fold 88690

Chen Gackstatter

catenoid fence2 010

schoen no go 004

Schoen No-Go Theorem

catenoid field 1grow 010

JE morph thin 008

Karcher JE Saddle Tower

karcher JDsaddle Morph 001

Karcher JD Saddle tower

scherk with handle

Scherk with Handle

costa hoffman meeks rot 024

Costa-Hoffman-Meeks Surface

Triply Periodic Minimal Surfaces

schwarz Hfamily morph 006

Schwarz H Family

LidinoidHexagon3Pile-s286x218

schwarz PD family morph 011

Schwarz PD Family

gyroid 2sided3fold-s296x211

A Schoen SS Family

A Schoen HT Hexagonal F 001

A Schoen HT Hexagonal Family

aschoen tw hexagonal 001

A Schoen TW Family

fujimori weber basic fa 005

Construction of Minimal Surfaces

Classical Minimal Surfaces in Euclidean Space by Examples, 2001, by Matthias Weber

Construction of Triply Periodic Minimal Surfaces, 1996, by Hermann Karcher, Konrad Polthier

Construction of Minimal Surfaces, 1989, H Karcher

About Minimal Surfaces

MinimalSurfaces.pdf

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We gratefully acknowledge support for the development of the 3D-XplorMath program and this website by The National Science Foundation through a CCLI Grant (DUE Award # 0514781).