Ground & elevate your space with this XXL Smoky Quartz Dodecahedron. Deep smoky tones sparkle with rainbow inclusions, while its sacred geometry shape supports protection, calm, & higher-vibe meditation.
ladygeode.etsy.com/listing/1185...

#crystals #smokyquartz #sacredgeometry #platonicsolid #gift

Byopia Press Advent Calendar 2025: Day Twelve and a Dodecahedron Calendar

byopiapress.wordpress.com/2025/12/12/b...

#ByopiaPress #ByopiaPressAdventCalendar #ByopiaPressAdventCalendar2025
#Dodecahedron #Calendar #PlatonicSolid

Know your tetrahedrons...

#tetrahedron #platonicsolid #universalgeometry #sacredgeometry #geometry #platonicsolids #Unify

Platonic Solid: Atlantis

#AIイラスト #aiart #synthart #fantasy #platonicsolid #atlantis

#AIイラスト #aiart #synthart #platonicsolid #octohedron #runes

This Obsidian Dodecahedron is a bold blend of beauty & protection! With its sleek black surface & sacred geometric form, it’s here to shield your energy, clear your mind, & inspire personal growth.
➡️ ladygeode.etsy.com/listing/1799...

#crystals #obsidian #sacredgeometry #dodecahedron #platonicsolid

This Clear Quartz Octahedron is bursting with light & rainbow. A stunning piece of sacred geometry, it embodies the element of Air & connects to the Heart Chakra, bringing clarity, compassion, & high-vibe healing.
➡️ ladygeode.etsy.com/listing/4339...

#crystals #sacredgeometry #platonicsolid #quartz

This Double Clear Quartz Dodecahedron is a custom-carved piece, shaped from a single quartz crystal. Featuring two distinct dodecahedrons—one slightly smaller than the other.

➡️ ladygeode.etsy.com/listing/1360...

#clearquartz #dodecahedron #sacredgeometry #platonicsolid #fathersdaygift #graduation

This 3.75 lb Smoky Quartz Cube is a grounding Power Stone with rainbow inclusions. A stunning piece for protection, stress relief, and earthy energy.

➡️ ladygeode.etsy.com/listing/1405...

#crystals #sacredgeometry #smokyquartz #platonicsolid #cube #fathersdaygiftidea #graduationgiftidea #grounding

On Some Average Properties of Convex Mosaics In a convex mosaic in R^d we denote the average number of vertices of a cell by \bar{v} and the average number of cells meeting at a node by \bar{n}. Except for the d=2 planar case, there is no known formula prohibiting points in any range of the [\bar{n},\bar{v}] plane (except for the unphysical \bar{n},\bar{v} < d+1 strips). Nevertheless, in d=3 dimensions if we plot the 28 points corresponding to convex uniform honeycombs, the 28 points corresponding to their duals and the 3 points corresponding to Poisson-Voronoi, Poisson-Delaunay and random hyperplane mosaics, then these points appear to accumulate on a narrow strip of the [\bar{n},\bar{v}] plane. To explore this phenomenon we introduce the harmonic degree \bar{h} = \bar{n}\bar{v} / (\bar{n}+\bar{v}) of a d-dimensional mosaic. We show that the observed narrow strip on the [\bar{n},\bar{v}] plane corresponds to a narrow range of \bar{h}. We prove that for every \bar{h}* \in (d,2^{d-1}] there exists a convex mosaic with harmonic degree \bar{h}* and we conjecture that there exist no d-dimensional mosaic outside this range. We also show that the harmonic degree has deeper geometric interpretations. In particular, in case of Euclidean mosaics it is related to the average of the sum of vertex angles and their polars, and in case of 2 D mosaics, it is related to the average excess angle.

"On Some Average Properties of Convex Mosaics" by Gábor Domokos and Zsolt Lángi. #ExperimentalMath #PlatonicSolid #ConvexMosaic #MathSky

Clear Quartz Icosahedron Crystal at the beach with the sun setting in the background. Clear Quartz – Master healer, energy amplifier, and clarity booster.Icosahedron – Represents fluidity, creativity, and emotional balance. Crystal available at ladygeode.com

✨💎 Clear Quartz Icosahedron – Flowing with Clarity & Energy 💎✨

This crystal helps you go with the flow, clear mental blockages, and enhance spiritual connection. 🌊

➡️ ladygeode.etsy.com/listing/1793...

#crystals #sacredgeometry #platonicsolid #clearquartz #icosahedron #lightworker #energywork

This beautiful Rose Quartz Cube is so soothing and calm. Add it to your crystal collection!

➡️ ladygeode.etsy.com/listing/1502...

#crystals #rosequartz #sacredgeometry #platonicsolid #lovecrystal #selfcare

The world is very dark right now. I don’t know what to do about it. My form of resistance for the time being is to take small pleasures and continue to persist despite everything. Try to stop me!! 😈 #painting #art #artworkinprogress #artwip #wip #oilpaint #traditionalart #rainbow #platonicsolid

Building an octohedron from cuboctahedron and the missing parts

Octahedron

Continuing to look at #ArchimedeanSolids, specifically the #cuboctahedron. Tis time trying to sort out how the cuboctahedron is derived from the #PlatonicSolid #Octahedron. Turns out it takes the equivalent of three scaled down regular octahedron to recreate the octahedron from the cuboctahedron.

Spoon the black into the black book with Tetrahedron.
#noir #book #platonicsolid

Quiet's coming.

All things in the Universe ,Dodecahedron.
#platonicsolid #kepler #elements

Today I received the companion to yesterday's "modern" d4, the old-school #tetrahedron #d4 for the #Christmas #Dice set.

#AdventCalendar #ttrpg #rpg #QWorkshop #D&D #Xmas #gaming #PlatonicSolid

Another from the #Christmas #Dice set, today’s die is one of Q Workshop’s “modern” d4s, an alternative to the classic Platonic solid #tetrahedron. It will be interesting to see how this rolls compared to a traditional #d4.

#AdventCalendar #ttrpg #rpg #QWorkshop #D&D #Xmas #gaming #PlatonicSolid