Baumann Eduard, Fribourg, Switzerland

 

Intersections of cylinders (english)

Intersections de cylindres (français)

Schnitte von Zylindern (deutsch)

3D printings available ! 3D

 

 

Updated / mise à jour / nachgeführt :    1.11.2022

 

 

 

Split polygons in equal area pieces with minimal cutting length. 2009 update.

 

What is the maximum volume for a not strechable cushion which can be flattened to a square? Click on the cushion!

 

 

Convex polyhedra with equal length edges.

Polyeder

Polyeder_Nachtrag_1

Polyeder_Nachtrag_2

Polyeder_Nachtrag_3

Polyeder_Nachtrag_4

Polyeder_Nachtrag_5

Polyeder_Nachtrag_6

 

(2021) Indem man bei NearMissPolyedern die Winkel in den n-Ecken, n>3, freigibt, kann man Gleichkanter gewinnen. So geschehen bei den Johnson NearMisses.

modified Johnson Nearmisses

 

 

(2014) Gleichflächer. Convex polyhedra with equal area faces. Click the picture.

 

 

HECTOHEDRA

On this page I showed aready collected equal edge length polyhedra and also equal area face polyhedra. Now I collected the convex polyhedra with exactly 100 faces. The collection with 131 elements is certainly not complet but shows an interesting variety of forms. We have also a special class with 50 elements where the edgelengthes are equal. The elements are ordered by roundness (surface area if volume is one). People which are interested in the coordinates of these polyhedra can download the zipped stel-files for the program GreatStella. Today may 2017 both roundest cases are beaten and known to me.

 

81 hectohedra roundness pictures

50 equaledge hectohedra roundness pictures

81 hectohedra roundness table

50 equaledge hectohedra roundness table

Baumann stel.zip

Bernal stel.zip

Dorozinski stel.zip

Mikloweit stel.zip

Webb stel.zip

 

Roundest equilateral polyhedra for given number of faces less or equal 122

 

 

Nicht unendliche viele sondern nur eine gegebene Anzahl einheitlich grosser Kugeln möglichst eng packen, ist ein interessantes Thema. Siehe dazu

AGGLO

AGGLO2

AGGLO3

AGGLO4

AGGLO5

 

How big can a n-polygon be if it must be covered by m n-polygons of side 1? Click on the sketch!

 

NobleSnub, ein ganz besonderer Vielflächner

Wahrscheinlichkeiten beim Kartenspiel   § ¨ © ª

See also:  

Jass_Ruh.pdf

 

  Ich wandere gern (hiking, randonné), siehe:

http://www.hikr.org/user/BaumannEdu/tour/

 

  Site for programming contests:

AlZimmerman Contests


  I'm a fan of 4D cubing:

http://www.superliminal.com/cube/cube.htm


m24 puzzle aw-table

Zeitgleichung

Splitting a cube in tetrahedras

Counting 2-colored dodecahedra

Counting facepairings on platonic polyhedra

Beyond the 21 cylinder intersection

Counting stamp foldings / Anzahl Briefmarkenfaltungen

Human knots / Menschliche Knoten

 An Knoten interessiert ? Dann unbedingt: http://knotplot.com/


Try LaserTank, a Sokoban like programm !  

http://en.wikipedia.org/wiki/Lasertank

http://perso.cgocable.ca/lasertank/index.html

 

Here you can get some freeware from my son

Keywords:

cylinder Zylinder cylindre intersection Schnitt Dodekaeder dodecaèdre dodecahedra volume surface Oberfläche Volumen truncated tronqué tetraèdre Tetraeder tetrahedra cube Würfel Rhombododekaeder Raumwinkel Kubooktaeder Rhombentriakontaeder Zylinderschnitte géometrie mathématique Geometrie Zeitgleichung Knoten knots Cubesplitting Covering Power