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SUNRISE FLOWER - DIAMOND LEAF

PostPosted: Wed Mar 10, 2010 10:07 pm
by lazarosmotsanos
ΛΟΥΛΟΥΔΙ ΤΗΣ ΑΥΓΗΣ  - SUNRISE FLOWER Ia.JPG


ΛΟΥΛΟΥΔΙ ΤΗΣ ΑΥΓΗΣ  - SUNRISE FLOWER IIb.JPG


ΛΟΥΛΟΥΔΙ ΤΗΣ ΑΥΓΗΣ  - SUNRISE FLOWER IIIc.JPG


ΛΟΥΛΟΥΔΙ ΤΗΣ ΑΥΓΗΣ - SUNRISE FLOWER

Geomag Elements:
Spheres: 66
Rods: 141
Rhombs: 70 ( 60 Yellow, 10 Red )

Για την βάση
For the base

Geomag Elements:
Spheres: 5
Rods: 10
Triangles: 10

Bασισμένο στο έργο των (based on the work of)
LAZAROS MOTSANOS

Five diamonds leafs combine make the Sunrise flower (and a base to sit on it).

Re: SUNRISE FLOWER - DIAMOND LEAF

PostPosted: Wed Mar 10, 2010 10:12 pm
by lazarosmotsanos
ΔΙΑΜΑΝΤΟΦΥΛΛΟ -  DIAMOND LEAF Ia.JPG


ΔΙΑΜΑΝΤΟΦΥΛΛΟ -  DIAMOND LEAF IIb.JPG


ΔΙΑΜΑΝΤΟΦΥΛΛΟ -  DIAMOND LEAF IIIc.JPG


ΔΙΑΜΑΝΤΟΦΥΛΛΟ - DIAMOND LEAF

Geomag Elements:
Spheres: 18
Rods: 35
Rhombs: 16

Bασισμένο στο έργο των (based on the work of)
LAZAROS MOTSANOS

A very interesting structure with many uses.

This structure is very stable (usually the structures that use rhombs is very unstable) because the three rods in the center provides the necessary stability.

Re: SUNRISE FLOWER - DIAMOND LEAF

PostPosted: Sun Mar 19, 2023 7:01 pm
by Wagyx
Actually, this shape is a near-miss, two of the leafs are not in contact. The gap is small though.
The rhomb used there is made of two equilateral triangles with a diagonal ratio of sqrt(3) = 1.732... The true shape would use golden rhomb with a ratio of 1.618...
There is a whole family of models that can be made using acute golden rhomb and obtuse golden rhomb.
See my blog post here https://asliceofcuriosity.fr/blog/posts/geometry11.html

In the hope that someday GeomagWorld SA makes golden rhomb panels.

In the meantime, here are the 3D models for lazarosmotsanos pictures.