Free 8K model of a contemporary rectangular coffee table with a dark stone base and intricate concentric wooden geometric inlay, deco-inspired, clean finish.

Modern Coffee Table 02

This is pure computational topology. 
Not sculpted by hand, this model is the direct 3D output of the Polytopic Archetypal Projection Protocol (PAPP).
The Origin: The seed is the Shamseh, a radial star pattern from Islamic sacred geometry. 
Its 2D ratios were fed into an "algebraic transducer", mapped onto a 4D space using a Fibonacci lattice on an $S^3$ hypersphere, and projected into 3D via a Hopf fibration.
The Build (V5.1): Driven exclusively by the Golden Ratio ($\phi$) and Euclidean metrics, it generates hyper-dense, crystallized concentric shells—a "Cosmic Onion".
Network Science Data: Vertices: 163,892 deterministic nodes.
Clustering (C): 0.847 (pathologically high local density).
Path Length: 30.14.It acts like a "harmonic glass": locally perfect but lacking the small-world routing of our later builds.
Visual proof that coherent math collapses into brutal spatial elegance.

Shamseh V5.1 "Cosmic Onion"

**Collection:** Prehistory and Historical Archeology Dept.

**Inv.-No.:** [UF-2373](https://www.online.landessammlungen-noe.at/objects/1029450)

**Material:** Bronze

**Dimensions:**  63,3 x 6,89 cm, 28,4 mm

**Dating:** 1050-801 BCE

A bronze sword with an oval handle, decorated with three wide, circumferential strips adorned with diagonal lines. The lower end of the handle is flared and has an angular notch in the middle. The blade exhibits a slight indentation and is gently curved. The central region of the specimen is characterised by a flat ridge, flanked on either side by two narrow, low strips. The latter are distinguished by the presence of diagonal hatching towards the upper end. Concentric circle ornaments are stamped onto the upper end of the blade, where the edges are indented. The antennae exhibit a wide, ribbon-shaped and simply rolled structure.

This object was digitized through the ‘Kulturerbe digital’ program of the Federal Ministry for Arts, Culture, Public Service and Sport.

Antenna Sword

Female statuette-vessel, modeled without a head. The silhouette is notable for the massiveness of the upper half of the body. The thin arms preserve the proportion of the vessel's handles. The palms, with the five fingers in a non-anatomical position, have been exaggerated in size to have a larger surface area for the base of the handles to grip the vessel's body. The incised decoration, consisting of concentric circles, triangles and other figurative elements arranged in the anatomical-functional parts of the human body, symbolizes fecundity, fertility and the practice of solar worship.
The statuette is unique among similar Neolithic pieces in Europe. For conservation reasons, the statuette is not exhibited in the museum's main exhibition, being in danger of destruction due to its fragility and age.

The statuette dates back to the Neolithic, Gumelnița culture, around 5000 BC.
Place of discovery: Ilfov county, Vidra commune, Vidra, Vidra Tell.

Neolithic Venus from Vidra, Romania

**Collection:** Prehistory and Historical Archeology Dept.

**Inv.-No.:** [UF-13817](https://www.online.landessammlungen-noe.at/objects/1259441)

**Material:** Iron, Copper

**Dimensions:** 

**Dating:** 

The artefact is composed of an iron disc that has been covered with a gold-plated copper plate, which features a concentric decorative scheme. The central area is characterised by the presence of a circular protrusion. Four sets of motifs can be discerned emanating from the object's centre and extending to its periphery. The sequence of elements from the central point towards the periphery is as follows: firstly, a band of waves, radiating flame-like rays, and subsequently, a bar with floral decoration. A band of waves is once again evident at the periphery.

This object was digitized through the ‘Kulturerbe digital’ program of the Federal Ministry for Arts, Culture, Public Service and Sport.

Phalera

LOKA 02: Bhuvar (Atmospheric Plane) is the V2 “cable-relief” disc of the LOKA series, encoding Kolam threshold geometry as thick ritual cords over a nearly flat floor. 

The pattern is generated from analytic symmetric rose-curve weaving on a pulli grid (rigorous C₄ symmetry): a central mandala, 7 concentric weave rings, 24 weave bridges, and an outer border garland. 

V2 amplifies the textile logic into sculpture: cable width 2.5× (0.050R) with a cos² profile, ring height boosted to 1.80, a near-flat base floor (0.02), and pulli dots rendered as hemispheric bumps (h=0.80). 

Hopf streamline grain and deep groove shadowing add “stone + cord” realism.

Mesh: 57,170 verts / 114,336 faces, closed orientable manifold (χ=2, watertight). 

Z range [−0.219, 1.872], surface area 205.23, unique colors 18,502. 

Seed [36,6,6,16], β*=16.0, triple (255,32,257), V₄D=1196.

Generated by PAPP Framework

Loka 02 — Bhuvar Kolam V2 | PAPP

Polychrome bowl (red and black on yellow slip) with convex walls and base. Above and below the rim are two horizontal bands, one black and the other red, followed by a horizontal band of pseudo-glyphs painted in red. The decorated surface features two medallions placed on opposite sides of the wall, separated by vertical sets of three concentric circles. Each medallion contains the head of the god K’awil, painted in red and shown in left-facing profile.

 IDAEH Cultural Property No.1.2.1.0331
 
www.fundacionrutamaya.org

Special thanks to the staff of La Ruta Maya Foundation for their hard work on this project.

3D model made in RealityScan; Total # of images: 256

K’awil God Bowl

Beyond standard 3D modeling: a mathematical autopsy of an algorithmic prototype. This is the V4 projection of the 2D Islamic "Shamseh" seed, processed via the Polytopic Archetypal Projection Protocol (PAPP).

The Anatomy: 24 concentric perfect spheres (R²=1.000000 each), built by a single connected graph. Every vertex is placed by rotating exactly 137.508° — the golden angle (2π/φ²) — from the previous one. The same rule sunflowers use to pack seeds, projected onto 3D spherical shells.
Fibonacci Signature: Azimuthal FFT reveals spiral counts of N=8,13,21,34,55 — five consecutive Fibonacci numbers. Ratios converge to φ. This is not an Islamic rosette; it's a spherical sunflower.

Network: 110,480 vertices, 747,904 edges. 73.8% intra-shell, 26.2% inter-shell (adjacent only). Connectivity peaks at the penultimate shell (96% from center) and drops at boundaries — a topological edge effect.

A phyllotactic crystal in 24 layers. Raw generative topology.

Generated via PAPP Framework.

Shamseh V4 Spherical Phyllotaxis (110k) | PAPP

I have seen compass-drawn circles in many locations throughout Valcamonica - e.g. Luine, Bedolina, Nadro & Paspardo.  They do not seem to garner very much attention or comment.  Here at Rock 6, there are many compass-drawn circles of hugely varying sizes, and some with multiple concentric rings, all with distinct central holes.   On the same surface are also a number of pecked, cup and ring marks, usually assigned to the late Neolithic/Bronze Ages.  

Whatever the actual date of the compass-drawn circle is, they will have been produced many centuries after the cup & ring marks, yet they take a similar form.  Is there some sort of continuity of meaning in these geometrical forms & is there a connectivity here between this area and that of Atlantic rock art?   This struck me quite strongly the first time I visited this rock at Luine, and the thought has been re-enforced by my observations elsewhere.  It would be significant as the interpretation of cup & ring marks in the Atlantic area is a complete mystery.

Valcamonica, Luine - Rock 6 (5)

Atlantis V2 is a large-scale PAPP high-relief disc built as a Metatron Loka-style terraced ridge sculpture. 
The object encodes the concentric city of Poseidon through a dense radial architecture: 7 ring boundaries, 4 cardinal bridges, Poseidon’s trident, 12 family portal arches, the Protiktah/Chakana stepped cross, a central pyramid with twin obelisks, a caduceus-like double helix, 7 sacred rays, 24 orichalcum flame petals, 12 fortification towers, and 24 water-memory ripples. 
Generated from seed [169, 13, 12, 33], the mesh targets ~144,050 vertices and ~288,048 faces with Euler characteristic χ=2. 
The color system blends orichalcum gold, deep ocean blues, bronze, tin-grey, cyan, violet and ROYGBIV accents into a layered land/water city relief.

Generated by PAPP Framework.

Atlantis_V2 | PAPP

Small box with concentric circles

Polychrome anthropomorphic whistle in the form of a standing dwarf figure, with the right hand resting on the hip and the left hand holding a fan raised beside the face. The fan is circular, with concentric decoration and what appear to be feathered elements. The figure wears a padded or fringed costume of the type later known in Mesoamerica as tlahuiztli, generally associated with warriors during the Postclassic period; over this garment, a hip cloth is worn. The headdress consists of a plain band encircling the hair, which is tied upward and backward, with incised details and blue paint suggesting feathers. Additional ornaments include elongated earspools, a necklace tied at the front with an oval pendant, and blue-painted sandals.

 IDAEH Cultural Property No. 1.2.179.0177
 
www.fundacionrutamaya.org

Special thanks to the staff of La Ruta Maya Foundation for their hard work on this project.

3D model made using Artec Space Spider

Whistle figurine

A cylindrical stone seal with grooved decoration across its entire surface. It features two concentric cruciform designs, possibly the KAN symbol, on opposite sides. At each end is a conical tenon, used to hold and roll the seal. Traces of white, black, and red paint remain. Possibly originating from Verapaces region and southern Petén.

 IDAEH Cultural Property No. 1.2.144.1459
 
www.fundacionrutamaya.org

Special thanks to the staff of La Ruta Maya Foundation for their hard work on this project.

3D model made in RealityScan; Total # of images: 247

Cylindrical seal made of stone and decorated

Ceramic whistle depicting a dwarf figure in a dancing posture. In the right hand, the figure holds a round fan, oriented downward and backward, decorated with concentric motifs and what appear to be feathers. He wears a plain cap and a padded or fringed outfit, resembling the tlahuiztli costume known throughout Mesoamerica, traditionally associated with warriors of the Postclassic period. NAA analysis of the ceramic paste indicates the upper Chixoy River region as the place of manufacture.

IDAEH Cultural Property No. 1.2.144.0800

www.fundacionrutamaya.org

Special thanks to the staff of La Ruta Maya Foundation for their hard work on this project.

3D model made in RealityScan; Total # of images: 341

Dancing dwarf holding a fan

Cutter for clay in the shape of concentric rectangles.  All my cutters have a knife edge design to get a clean cut and are therefore very strong.  Three sizes available: 25 mm,30 mm and 35 mm.  Dimensions are from the longer side, inner side.  The height is 10 mm and the cutting edge is 0.4 mm.  Print with "Detect Thin Walls": ON

CONCENTRIC RECTANGLES CLAY CUTTER

A set of flat tiles with a slightly rough surface intended for applying flocking/textures naming convention uses inches - NOTE - * un-enclosed printers may require brims and will struggle with the largest tiles due to the geometry (I got usable results even from the 8x8 with my A1 despite some distortion) * Concentric top layer pattern is recommended These models use the OpenLOCK system by Printable Scenery (printablescenery.com) under a free license and are not endorsed by Printable Scenery License: printablescenery.com/2025/10/28/silvergum-studio

OpenLOCK TerrainTiles - Basic

A high-relief geometric object built from a 19-circle Flower of Life structure and a 64-spoke polar framework, translated into a dense ancient-mosaic surface. This version uses deep grout channels, tessera-like microstructure, concentric ring modulation, and a 32-step terraced relief to create a sculptural object that feels both symbolic and archaeological.

The color language draws from ancient pigments — lapis, malachite, turquoise, cinnabar, ochre, purple, charcoal, ivory, and gold — combined with patina, grime, and gold abrasion to evoke the surface of a weathered ceremonial artifact.

This piece is not hand-sculpted: its form is generated through mathematical and procedural construction, using geometric rules, radial organization, and layered relief logic. Mesh: 61,058 vertices, 122,112 faces, closed manifold, χ = 2. 

Generated by PAPP Framework.

Flower of Life 19 - Ancient Relic | PAPP

WAGARA 02 (V3) encodes Seigaiha (青海波) — the classic “blue ocean waves” motif from Heian-era court culture (linked to the Seigaiha gagaku dance; a symbol of endless peace). 

The pattern is built from staggered wave fans with 4 concentric arcs per fan (N_wave_fans=193, fans-in-disc=91, wave_radius=0.5, Δr=0.125, arc_sigma=0.018, arc_height=0.5, depth_step=0.06, center_glow=0.35), then wrapped onto a full 360° sphere via dual Lambert azimuthal equal-area projection with a smooth ±15° equatorial blend. 

Under the textile geometry sits the PAPP 6-stage pipeline (φ-RG→CF→triple→S³→Hopf→S²), adding subtle φ-harmonic interference without breaking the cm symmetry.

Mesh: 57,122 verts / 114,240 faces, χ=2, watertight, 100% outward normals. 

R₃d range [3.000, 3.850], max displacement 0.844, surface area 757.91, unique colors 29,350. 

Seed [2,4,180,16], β*=50.5, CF [50,2], triple (2496,200,2504), V₄D=11445.

Generated by PAPP Framework

WAGARA 02 — Seigaiha (青海波) Sphere V3 | PAPP

**Collection:** Prehistory and Historical Archeology Dept.

**Inv.-No.:** [UF-13818](https://www.online.landessammlungen-noe.at/objects/1259444)

**Material:** Iron, Copper

**Dimensions:** 

**Dating:** 

The artefact is composed of an iron disc that has been covered with a gold-plated copper plate, which features a concentric decorative scheme. The central area is characterised by the presence of a circular protrusion. Four sets of motifs can be discerned emanating from the object's centre and extending to its periphery. The sequence of elements from the central point towards the periphery is as follows: firstly, a band of waves, radiating flame-like rays, and subsequently, a bar with floral decoration. A band of waves is once again evident at the periphery.

This object was digitized through the ‘Kulturerbe digital’ program of the Federal Ministry for Arts, Culture, Public Service and Sport.

Zoomorphic ocarina, brown in color, representing a water bird with lateral wings, a crested head, round eyes formed by concentric grooves, and an oval body ending in a pointed tail. The piece has a handle located between the figure’s neck and body, four tone holes on the back, and a blowing mouthpiece at the tail.

 IDAEH Cultural Property No.1.2.118.0178
 
www.fundacionrutamaya.org

Special thanks to the staff of La Ruta Maya Foundation for their hard work on this project.

3D model made using Artec Space Spider

Bird-shaped Ocarina

Bowl with a rustic incised face representing a anthropomorphic figure with the mouth open downward and oval eyes outlined by two fluted moldings. The bowl features two lateral tabs decorated with concentric circles. Below the rim, a series of applied pellets forms the hair. Traces of red pigment are preserved, and the interior bears a brown-orange slip.

 IDAEH Cultural Property No. 1.2.144.1511
 
www.fundacionrutamaya.org

Special thanks to the staff of La Ruta Maya Foundation for their hard work on this project.

3D model made in RealityScan; Total # of images:341

Bowl with Incised Face

Seal or stamp, with grooved decoration, with the image of an iguana in right profile. It has a round concentric eye, a crest from head to tail and an open mouth, showing its teeth. Small punctured holes decorating the body represent the scaly skin.
 IDAEH Cultural Property No. 1.2.144.0786
www.fundacionrutamaya.org

Special thanks to the staff of La Ruta Maya Foundation for their hard work on this project.

3D model made in RealityScan; Total # of images: 235

Stamp or seal with image of an Iguana

Lot of two carved and openwork shell discs, decorated with a five-pointed star in the center. Each star design has a hole surrounded by a concentric groove. The edge is decorated with serrated edges. These discs may have been ornaments used to decorate diadems, headdresses, or garments.

IDAEH Cultural Property No. 1.2.159.0135

www.fundacionrutamaya.org

Special thanks to the staff of La Ruta Maya Foundation for their hard work on this project.

3D model made in RealityScan; Total # of images: 240

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