a perspective on mathematics, the pattern, and the abstract

Posts tagged: geometry

From *Sacred Geometry: Philosophy and Practice* by Robert Lawlor

(via theuniverseworks)

This truncation shows that the dual polyhedron of the tetrahedron is itself.

More here.

(via ultrazapping)

Source:
vizualfrenzy

Notes: 598
11/5/11 — 12:06pm
Filed under:
#GIF
#math
#truncation
#geometry
#tetrahedron

This is what it would look like to spin around in 3 dimensional hyperbolic space tiled by regular right angled dodecahedron.

Created with Curved Spaces.

This is what it would look like to do a front flip in 3 dimensional hyperbolic space tiled by regular right angled dodecahedron.

Created with Curved Spaces.

Flying though a tiling of regular right angled dodecahedron in three dimensional hyperbolic space. There is more of an explanation here.

Created with Curved Spaces.

Hyperbolic geometry is an example of a non-Euclidean geometry.

Source:
matrixeditions.com

Notes: 157
9/25/11 — 12:56pm
Filed under:
#geometry
#hyperbolic geometry
#math
#papers
The lemniscate can be generated as the envelope of circles centered on a rectangular hyperbola and passing through the center of the hyperbola.

Source:
mathworld.wolfram.com

Notes: 48
9/22/11 — 2:18pm
Filed under:
#math
#geometry
#torus
#hyperbola
#circles
#lines

This truncation shows that the dodecahedron and the icosahedron are dual polyhedra.

See here for another example with the cube and octahedron.

(via geometryofdopeness)

Source:
self-romance

Notes: 24
9/18/11 — 1:48pm
Filed under:
#GIF
#math
#geometry
#duality
#dodecahedron
#icosahedron
#truncation

(via thepatterns)

Source:
homespungeometry

High-res
Notes: 36
9/13/11 — 6:36pm
Filed under:
#design
#geometry
#graphic
#hexagons
#pattern
#spirals
An ideal rotation around the point at infinity in the disc and upper half plane model of the hyperbolic plane

Source:
bulatov.org

Notes: 41
8/12/11 — 5:10pm
Filed under:
#GIF
#animation
#math
#geometry
#hyperbolic geometry

Rotation around the symmetry axis of 4th order in the disk and upper half plane models