An infinite series of convex antiprisms (their semiregular nature was first observed by Kepler).
These semiregular solids can be fully specified by a vertex configuration, a listing of the faces by number of sides in order as they occur around a vertex. For example, 3.5.3.5, represents the icosidodecahedron which alternates two triangles and two pentagons around each vertex. 3.3.3.5 in contrast is a pentagonal antiprism. These polyhedra are sometimes described as vertex-transitive.
Since Gosset, other authors have used the term semiregular in different ways in relation to higher dimensional polytopes. E. L. Elte provided a definition which Coxeter found too artificial. Coxeter himself dubbed Gosset's figures uniform, with only a quite restricted subset classified as semiregular.
Archimedean Solids (semi-regular polyhedra) in 3D.
published: 05 May 2016
Archimedean Solids (semi-regular polyhedra)
Archimedean Solids (semi-regular polyhedral).
published: 04 May 2016
Platonic Solids - Regular and Semiregular Polyhedra
A demonstration of how we find spherical deviation and use it to solve problems with polyhedra. Ends with a discussion of semiregular polyhedra.
published: 17 Nov 2021
Deformation animation of regular and semi-regular polyhedra
This animation creates 5 types of regular polyhedra and 13 types of semi-regular polyhedra, for a total of 18 types, all deformed in a series of steps. The deformation methods used are the common methods for creating semi-regular polyhedra from regular polyhedra (cut/stretch, face release/face close, and twist). This version displays the deformation model and polyhedron name.
#Polyhedra #Platonic_Solid #Archimedean_Solid #Transformable_Polyhedra #VRML #Animation
published: 21 Jan 2023
Make polyhedron with M+!
This video shows you how to make a dodecahedron or other types of polyhedra using an site called M+.
With this fantastic kit, students create Platonic bodies, prisms and semi-regular polyhedrons. A total of 16 different types in any size! The parts can fixed together to form great polyhedrons for the classroom, or they can be disassembled for reuse.
published: 21 Nov 2012
Making a tetrahedron into a semiregular polyhedron
I cut the 4 vertices off which created 2 more vertices at each corner. The tetrahedron was a regular polyhedron and now its faces are not all the same size polygons so it is a semi-regular polyhedron.
published: 07 Nov 2013
Curler Unit Origami and Semi-Regular Polyhedra
Geometry Final Project by Liz & Val
published: 18 Dec 2014
Defining Regular and Semiregular Tiling
published: 08 Sep 2024
The ALMOST Platonic Solids
This is my entry in #SoME3 . This video covers the Archimedean solids, Catalan solids, and Johnson solids. Geometry is one of the most beautiful parts of math, and polyhedra are one of my favorite parts of that. If you love geometry, make sure to check out my video on map projections!
Chapters:
0:00 Intro
1:17 Archimedean Solids
7:22 Proving there are 13
12:13 Catalan Solids
18:28 Johnson Solids
27:11 Outro
#math #geometry
published: 11 Aug 2023
Polyhedra With Articulated Faces : Triangular Orthobicupola (Johnson Solid)
POLYHEDRA WITH ARTICULATED FACES : TRIANGULAR ORTHOBICUPOLA
Johnson solid
This polyhedra results from the assembly of two cupolas by their largest faces (bottom faces), with the opposite faces (top faces) aligned. These top faces can translate with respect to each other with 2 DOFs: they remain parallel and aligned. Another DOF is a twist along the ring of edges between the two top faces. The remaining DOFs of the orthobicupola are the DOFs of the top faces.
This videos shows manipulations with the POLYHEDRA .
Pour plus d'informations,
For more information,
http://robot.gmc.ulaval.ca/
This animation creates 5 types of regular polyhedra and 13 types of semi-regular polyhedra, for a total of 18 types, all deformed in a series of steps. The defo...
This animation creates 5 types of regular polyhedra and 13 types of semi-regular polyhedra, for a total of 18 types, all deformed in a series of steps. The deformation methods used are the common methods for creating semi-regular polyhedra from regular polyhedra (cut/stretch, face release/face close, and twist). This version displays the deformation model and polyhedron name.
#Polyhedra #Platonic_Solid #Archimedean_Solid #Transformable_Polyhedra #VRML #Animation
This animation creates 5 types of regular polyhedra and 13 types of semi-regular polyhedra, for a total of 18 types, all deformed in a series of steps. The deformation methods used are the common methods for creating semi-regular polyhedra from regular polyhedra (cut/stretch, face release/face close, and twist). This version displays the deformation model and polyhedron name.
#Polyhedra #Platonic_Solid #Archimedean_Solid #Transformable_Polyhedra #VRML #Animation
This video shows you how to make a dodecahedron or other types of polyhedra using an site called M+.
With this fantastic kit, students create Platonic bodies, ...
This video shows you how to make a dodecahedron or other types of polyhedra using an site called M+.
With this fantastic kit, students create Platonic bodies, prisms and semi-regular polyhedrons. A total of 16 different types in any size! The parts can fixed together to form great polyhedrons for the classroom, or they can be disassembled for reuse.
This video shows you how to make a dodecahedron or other types of polyhedra using an site called M+.
With this fantastic kit, students create Platonic bodies, prisms and semi-regular polyhedrons. A total of 16 different types in any size! The parts can fixed together to form great polyhedrons for the classroom, or they can be disassembled for reuse.
I cut the 4 vertices off which created 2 more vertices at each corner. The tetrahedron was a regular polyhedron and now its faces are not all the same size poly...
I cut the 4 vertices off which created 2 more vertices at each corner. The tetrahedron was a regular polyhedron and now its faces are not all the same size polygons so it is a semi-regular polyhedron.
I cut the 4 vertices off which created 2 more vertices at each corner. The tetrahedron was a regular polyhedron and now its faces are not all the same size polygons so it is a semi-regular polyhedron.
This is my entry in #SoME3 . This video covers the Archimedean solids, Catalan solids, and Johnson solids. Geometry is one of the most beautiful parts of math...
This is my entry in #SoME3 . This video covers the Archimedean solids, Catalan solids, and Johnson solids. Geometry is one of the most beautiful parts of math, and polyhedra are one of my favorite parts of that. If you love geometry, make sure to check out my video on map projections!
Chapters:
0:00 Intro
1:17 Archimedean Solids
7:22 Proving there are 13
12:13 Catalan Solids
18:28 Johnson Solids
27:11 Outro
#math #geometry
This is my entry in #SoME3 . This video covers the Archimedean solids, Catalan solids, and Johnson solids. Geometry is one of the most beautiful parts of math, and polyhedra are one of my favorite parts of that. If you love geometry, make sure to check out my video on map projections!
Chapters:
0:00 Intro
1:17 Archimedean Solids
7:22 Proving there are 13
12:13 Catalan Solids
18:28 Johnson Solids
27:11 Outro
#math #geometry
POLYHEDRA WITH ARTICULATED FACES : TRIANGULAR ORTHOBICUPOLA
Johnson solid
This polyhedra results from the assembly of two cupolas by their largest faces (bott...
POLYHEDRA WITH ARTICULATED FACES : TRIANGULAR ORTHOBICUPOLA
Johnson solid
This polyhedra results from the assembly of two cupolas by their largest faces (bottom faces), with the opposite faces (top faces) aligned. These top faces can translate with respect to each other with 2 DOFs: they remain parallel and aligned. Another DOF is a twist along the ring of edges between the two top faces. The remaining DOFs of the orthobicupola are the DOFs of the top faces.
This videos shows manipulations with the POLYHEDRA .
Pour plus d'informations,
For more information,
http://robot.gmc.ulaval.ca/
POLYHEDRA WITH ARTICULATED FACES : TRIANGULAR ORTHOBICUPOLA
Johnson solid
This polyhedra results from the assembly of two cupolas by their largest faces (bottom faces), with the opposite faces (top faces) aligned. These top faces can translate with respect to each other with 2 DOFs: they remain parallel and aligned. Another DOF is a twist along the ring of edges between the two top faces. The remaining DOFs of the orthobicupola are the DOFs of the top faces.
This videos shows manipulations with the POLYHEDRA .
Pour plus d'informations,
For more information,
http://robot.gmc.ulaval.ca/
This animation creates 5 types of regular polyhedra and 13 types of semi-regular polyhedra, for a total of 18 types, all deformed in a series of steps. The deformation methods used are the common methods for creating semi-regular polyhedra from regular polyhedra (cut/stretch, face release/face close, and twist). This version displays the deformation model and polyhedron name.
#Polyhedra #Platonic_Solid #Archimedean_Solid #Transformable_Polyhedra #VRML #Animation
This video shows you how to make a dodecahedron or other types of polyhedra using an site called M+.
With this fantastic kit, students create Platonic bodies, prisms and semi-regular polyhedrons. A total of 16 different types in any size! The parts can fixed together to form great polyhedrons for the classroom, or they can be disassembled for reuse.
I cut the 4 vertices off which created 2 more vertices at each corner. The tetrahedron was a regular polyhedron and now its faces are not all the same size polygons so it is a semi-regular polyhedron.
This is my entry in #SoME3 . This video covers the Archimedean solids, Catalan solids, and Johnson solids. Geometry is one of the most beautiful parts of math, and polyhedra are one of my favorite parts of that. If you love geometry, make sure to check out my video on map projections!
Chapters:
0:00 Intro
1:17 Archimedean Solids
7:22 Proving there are 13
12:13 Catalan Solids
18:28 Johnson Solids
27:11 Outro
#math #geometry
POLYHEDRA WITH ARTICULATED FACES : TRIANGULAR ORTHOBICUPOLA
Johnson solid
This polyhedra results from the assembly of two cupolas by their largest faces (bottom faces), with the opposite faces (top faces) aligned. These top faces can translate with respect to each other with 2 DOFs: they remain parallel and aligned. Another DOF is a twist along the ring of edges between the two top faces. The remaining DOFs of the orthobicupola are the DOFs of the top faces.
This videos shows manipulations with the POLYHEDRA .
Pour plus d'informations,
For more information,
http://robot.gmc.ulaval.ca/
An infinite series of convex antiprisms (their semiregular nature was first observed by Kepler).
These semiregular solids can be fully specified by a vertex configuration, a listing of the faces by number of sides in order as they occur around a vertex. For example, 3.5.3.5, represents the icosidodecahedron which alternates two triangles and two pentagons around each vertex. 3.3.3.5 in contrast is a pentagonal antiprism. These polyhedra are sometimes described as vertex-transitive.
Since Gosset, other authors have used the term semiregular in different ways in relation to higher dimensional polytopes. E. L. Elte provided a definition which Coxeter found too artificial. Coxeter himself dubbed Gosset's figures uniform, with only a quite restricted subset classified as semiregular.