This Chrysanthemum ceiling has the same number and type of mogharnas tiles as in a traditional muqarnas dome. However, they are arranged in a different manner which results in a much flatter “dome”.
Specification
Animation
FHD – 1920 X 1080p
Symmetry Group [SG]
32-fold, 16 tiles
Symmetry of Form
8-fold
Form Group
Flattened Domes
Seed
(1,15,1,15)X8
Arrangement
No
Motif(s)
Ray, All Tiers
Motif(s) Angle(s)
Number of Tiers
Up to 2
SG – Tiles Used
1-15; Not 16
Edge Type
Curved, 60° arc with top tangent to plan view plane
Date: 1/16/2002

Chrysanthemum Ceiling: 1-15-1-15 X8 Seed & Expansion

1-15-1-15 X8 Seed
1-15-1-15 X8 Seed

Seed Expansion: 4 of 8 Rays
Seed Expansion: 4 of 8 Rays

The 1-15-1-15 X8 Seed of this Chrysanthemum ceiling displays 8-fold symmetry. As a result when it is expanded with the Ray Motif it has a total of 8 distinct rays, in contrast to the Traditional Dome which only has 2 rays as shown here. Only 4 of the 8 Rays are shown here. All are shown below.

Chrysanthemum Ceiling, 1-15-1-15 X8 Seed, Top & Bottom Views

I include four views, 2 top and 2 bottom, of the Chrysanthemum ceiling. This is because it has an unusual shape along with the other seeds of flattened domes. This 1-15-1-15 X8 seed is similar to the mathematical form known as the “Octopus Saddle”. (See Below) The mathematical saddle shapes are a way of representing hyperbolic space in which, unlike Euclidean geometry, parallel lines diverge rather than staying equidistant. Saddle shapes which give rise to ever deeper valleys and higher ridges as one moves away from the central saddle. Flattened mogharnas / muqarnas domes develop out from the center in ‘waves’ of fixed height per type. The additional tiers of flattened domes are in integral multiples of the central flattened dome’s height.

From Below: 1-15-1-15 X8 Seed
From Below: 1-15-1-15 X8 Seed

From Above: 1-15-1-15 X8 Seed
From Above: 1-15-1-15 X8 Seed

From Below: 1-15-1-15 X8 Seed
From Below: 1-15-1-15 X8 Seed

Octopus Saddle
Octopus Saddle from Mathcurve.comfrom Mathcurve.com

From Above: 1-15-1-15 X8 Seed
From Above: 1-15-1-15 X8 Seed

Chrysanthemum Ceiling, 1-15-1-15 X8 Seed, Ray Motif Expansion

The 8 Rays for 2 tiers
The 8 Rays for 2 tiers

All Rays of tiers 1 & 2
All Rays of tiers 1 & 2

Ray expansion to 2 tiers
Ray expansion to 2 tiers