Apr 24
Pentagonal Hexecontahedron
z_(n+1) = z_n^(6.5 + 9* |t - 0.5|) + i^(-4t) * c
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Pentagonal Hexecontahedron
z_(n+1) = z_n^(6.5 + 9* |t - 0.5|) + i^(-4t) * c
Regular-ish Convex Polyhedra Bracket — Round 2
Which shape is better?
Regular Octahedron
Pentagonal Hexecontahedron
Propaganda
Regular Octahedron:
Platonic Solid
Regular
Dual of the Cube
It has 8 regular triangular faces, 12 edges, and 6 vertices.
Image Credit: Tumblr
Don't forget that there's a game called OCTAHEDRON!! With an equally banger soundtrack!! Also the protagonist is octahedron-headed btw. They're a silly little (tm) guy.
Pentagonal Hexecontahedron:
Catalan Solid
Dual of the Snub Dodecahedron
It has 60 irregular pentagonal faces, 150 edges, and 92 vertices of two types.
Chiral so it has two forms that are mirror images of each other.
It is the Catalan solid with the most vertices.
Image Credit: Cyp
Comet
2018
This piece, the latest in my Stellated Geometry series, is a pentagonal hexecontahedron, a spheroid shape with 60 identical faces and 92 vertices. The diameter of the body is 24 inches and each vertex has an attached spike ranging from 1 to 24 inches.
Fabricated from laser cut mild steel, I welded the pieces together and finished them. The full process of making this piece is in the post below. I must confess I haven’t done this much production welding since I quit the industry, nor did I truly anticipate how many hours of finishing it would involve!
Comet is on display until April 2019 at the Sculpturewalk in Castlegar, BC. It’s installed between city hall and the police station. The Sculpturewalk is an event where people can wander Castlegar’s old downtown, and discover sculptures from various BC and North American artists. You can vote on your favourite - even purchase or lease one that you fancy.
Regular-ish Convex Polyhedra Bracket — Round 1
Which shape is better?
Triakis Icosahedron
Pentagonal Hexecontahedron
Propaganda
Triakis Icosahedron:
Catalan Solid
Dual of the Truncated Dodecahedron
It has 60 isosceles triangular faces, 90 edges, and 32 vertices of two types.
Has multiple notable non-convex forms.
Image Credit: Cyp
Pentagonal Hexecontahedron:
Catalan Solid
Dual of the Snub Dodecahedron
It has 60 irregular pentagonal faces, 150 edges, and 92 vertices of two types.
Chiral so it has two forms that are mirror images of each other.
It is the Catalan solid with the most vertices.
Image Credit: Cyp
See Emily Play on Flickr.
Via Flickr: Sixty pieces of manuscript, patched together to make a pentagonal hexecontahedral globe. The poems thus abused: • 1167 Alone and in a circumstance • Did you ever read one of her poems backwards? • 1068 Farther in summer than the birds • 1289 Left in immortal youth • 1533 On that specific pillow • 1505 She could not live upon the past • 1581 The farthest thunder that I heard • 1355 The mind lives on the heart • 1528 The moon upon her fluent route • 1588 This me — that walks and works — must die • 1442 To mend each tattered faith • 1213 We like March • 1508 You cannot make remembrance grow Manuscript facsimiles courtesy of Amherst College's Archives and Special Collections.