GlymeraMath – 77 Mathematical Structures for Hytale

Spawn any of 77 hand-crafted mathematical or organic structures into your world with a single command. Cubes, spheres, pyramids, domes, platonic and Kepler-Poinsot star polyhedra, fractals, minimal surfaces, knots, hearts – all exposed as one clean command with sensible parameters.

Don't miss my other exciting projects — take a look at GlymeraCraft's Profile Discord: https://discord.gg/s5NRFWfxgy

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What is GlymeraMath?

GlymeraMath adds a single command, /gmath, which lets you drop mathematical structures directly at your feet. Every shape is written in pure Java, ships with the plugin, and uses existing Hytale blocks as the material – no asset pack, no client mod, no prefab files on disk.

Every shape exposes simple parameters (size, height, hollow, material, plus shape-specific tweaks) so you can iterate quickly. Spawn, look, /gmath undo, change a value, spawn again.

• 77 shapes in 13 categories
• Parametric – tweak size, density, thickness, number of sides, etc.
• Hollow toggle on every solid shape – perfect for turning a dome into a roof, a cube into a room
• Undo per player – one spawn history per player, any /gmath undo restores the overwritten terrain
• Streamed placement for huge spawns – spawns above a configurable threshold are placed in batches across server ticks, so the server stays responsive even for multi-million-block structures. Cancel any running spawn with /gmath cancel (rolls back everything already placed).
• Server-side only – players use their normal Hytale client
• Configurable permissions – OP only, or open to every player
• Soft + hard block limits – a warning step prevents accidental mega-spawns

Quick Start

/gmath list                    - browse all shapes, grouped by category
/gmath info <name>             - show parameters + defaults for a shape
/gmath spawn <name> [k=v ...]  - place the shape at your current position
/gmath cancel                  - abort a running streamed spawn (and roll it back)
/gmath undo                    - remove the last spawn

Examples:

/gmath spawn sphere size=30 hollow=true material=Rock_Marble
/gmath spawn mandelbulb size=45 material=Rock_Slate
/gmath spawn torus majorRadius=20 minorRadius=6 material=Rock_Basalt

Commands

Command	Who	Description
/gmath list [filter]	allowed player	List all 77 shapes, optionally filtered by category or name substring
/gmath categories	allowed player	List the 13 categories and how many shapes each has
/gmath info <name>	allowed player	Show parameters + defaults + default material of a shape
/gmath spawn <name> [k=v …]	allowed player	Place the shape centred on your position
/gmath confirm	allowed player	Confirm a large spawn that triggered the warn threshold
/gmath cancel	allowed player	Abort a running streamed spawn and roll back all blocks already placed
/gmath undo	allowed player	Restore the terrain from your last spawn
/gmath reload	OP only	Re-read config.json after editing (no server restart)

"Allowed player" = OP by default, or everyone if allowNonOps is set to true in the config.

Installation

1. Drop GlymeraMath-3.0.0.jar into your server's mods/ folder.
2. Start (or restart) the server.
3. Done. No asset pack, no second file needed.

On first start the plugin writes plugins/GlymeraMath/config.json with sensible defaults.

Configuration

All settings live in plugins/GlymeraMath/config.json:

{
  "allowNonOps": false,
  "warnAtBlocks": 100000,
  "maxBlocks": 300000,
  "confirmTimeoutSeconds": 30,
  "batchThreshold": 10000,
  "batchSize": 2500,
  "batchIntervalMs": 50
}

Field	What it does
allowNonOps	false (default): only OPs can use /gmath. true: every player may spawn shapes.
warnAtBlocks	Spawns above this block count require confirmation via /gmath confirm.
maxBlocks	Hard limit. Spawns above this are refused with a message pointing at this config.
confirmTimeoutSeconds	How long a pending confirm is remembered before it expires.
batchThreshold	Spawns above this block count are streamed in batches across ticks instead of placed all at once. Below this threshold the spawn is applied synchronously like before.
batchSize	Blocks placed per batch (one batch per tick). Default 2 500 – a good compromise between throughput and server smoothness at 20 TPS. Lower = smoother but slower; higher = faster but more micro-lag.
batchIntervalMs	Milliseconds between batches. 50 = one batch per server tick. Raise to 100 (every 2 ticks) to let other work catch up between batches. Minimum 10.

Edit the file while the server is running, then run /gmath reload.

Safety Limits

Three tiers prevent accidental million-block disasters:

1. ≤ warnAtBlocks (default 100 000) – spawns immediately, no interaction.
2. warnAtBlocks < blocks ≤ maxBlocks – the plugin prints "This shape would place X blocks. Type /gmath confirm within 30 seconds to spawn it." The spawn is held per player; any other command or a timeout cancels it.
3. > maxBlocks (default 300 000) – spawn refused with a message naming the config key an admin can raise.

Placement itself is additionally gated by batchThreshold (default 10 000):

• Below the threshold – blocks are placed synchronously in a single operation, same as in earlier versions.
• Above the threshold – the spawn is streamed in batches across server ticks. The player gets progress messages at 25 %, 50 %, 75 % and a "Done" line at 100 %. Only one streamed spawn per player at a time – a second /gmath spawn is rejected with a hint to call /gmath cancel first.

/gmath cancel aborts a running streamed spawn and rolls back every block already placed, leaving the terrain as if the spawn never happened.

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Copy & Paste Examples – just change the values

Every example below spawns a reasonable default. Copy the line, paste it, tweak any parameter, and spawn again. All examples use Rock_Marble as the material – swap it for any Hytale block you like (Rock_Basalt, Rock_Sandstone, Plant_Coral_Block_Pink, Metal_Gold, Soil_Grass, and many more).

Any shape supports these common parameters:

• material=<Block_Name> – what the shape is made of
• hollow=true|false – keep only the outer shell (solid shapes only)

I. Simple Solids

cube

Axis-aligned solid cube.

/gmath spawn cube size=20 hollow=false material=Rock_Marble

Change size to taste. hollow=true gives a hollow room.

sphere

Solid sphere. hollow=true gives a perfect 1-block shell.

/gmath spawn sphere size=30 hollow=true material=Rock_Marble

cylinder

Vertical solid cylinder.

/gmath spawn cylinder size=20 height=30 hollow=true material=Rock_Marble

Change size (diameter) and height independently.

cone

Upright cone, apex on top.

/gmath spawn cone size=25 height=35 hollow=false material=Rock_Marble

pyramid

Square-base pyramid. height=0 gives Egyptian proportions (~0.63 × size).

/gmath spawn pyramid size=40 height=0 hollow=false material=Rock_Sandstone

steppyramid

Stepped (Mesoamerican / Ziggurat) pyramid.

/gmath spawn steppyramid size=32 steps=6 stepHeight=3 material=Rock_Sandstone

Change steps to make it taller with more tiers, stepHeight for deeper steps.

dome

Hemisphere (top half of a sphere).

/gmath spawn dome size=30 hollow=true material=Rock_Marble

torus

Donut ring, lies flat on the ground.

/gmath spawn torus majorRadius=20 minorRadius=6 material=Rock_Marble

majorRadius = ring size, minorRadius = tube thickness.

arch

Upright half-torus – a gate.

/gmath spawn arch majorRadius=15 minorRadius=3 depth=3 material=Rock_Marble

oniondome

Bulb dome (Russian / Byzantine style).

/gmath spawn oniondome size=22 height=32 material=Metal_Gold

prism

N-gonal extruded prism. Triangle, pentagon, hexagon, octagon – whatever.

/gmath spawn prism sides=6 size=20 height=30 hollow=true material=Rock_Marble

sides=3 for triangle, sides=8 for octagonal column, etc.

antiprism

N-gonal antiprism – top polygon twisted 180/N° relative to bottom.

/gmath spawn antiprism sides=6 size=20 height=25 hollow=true material=Rock_Marble

wedge

Ramp / wedge. Rectangular base rising linearly in Z.

/gmath spawn wedge size=30 length=30 height=20 material=Rock_Marble

frustum

Truncated cone. sides=0 → round, sides≥3 → N-gonal pyramid frustum.

/gmath spawn frustum size=30 topSize=12 height=25 sides=0 hollow=true material=Rock_Marble

obelisk

Egyptian obelisk: tapered square shaft + pyramidion.

/gmath spawn obelisk size=8 topSize=4 height=40 pyramidion=6 material=Rock_Sandstone

capsule

Vertical pill: cylinder with hemispheric caps.

/gmath spawn capsule size=16 height=40 hollow=true material=Rock_Marble

column

Classical Greek column – square base + round shaft + square capital.

/gmath spawn column size=8 height=40 endHeight=3 material=Rock_Marble

tube

Hollow vertical cylinder with a configurable wall thickness.

/gmath spawn tube size=20 height=30 wallThickness=2 material=Rock_Marble

bell

Bell shape – flared at the bottom, narrowing to a rounded top.

/gmath spawn bell size=20 height=24 material=Metal_Bronze

lens

Oblate spheroid – flat in X / Z, squashed in Y.

/gmath spawn lens size=30 thickness=6 material=Rock_Marble

spire

Slender tower with pointed top (gothic spire).

/gmath spawn spire size=8 height=60 shaftRatio=0.3 material=Rock_Marble

shaftRatio=0.0 → fully pointed, 0.8 → mostly cylindrical with a short tip.

II. Platonic Solids

All four accept a single size parameter (circumsphere diameter).

tetrahedron

/gmath spawn tetrahedron size=30 hollow=true material=Rock_Basalt

octahedron

/gmath spawn octahedron size=30 hollow=true material=Rock_Marble

dodecahedron

/gmath spawn dodecahedron size=30 hollow=true material=Rock_Marble

icosahedron

/gmath spawn icosahedron size=25 hollow=true material=Rock_Marble

II.b Kepler-Poinsot Star Polyhedra

The four classic non-convex star polyhedra. Each is rendered as a polyhedral core with pyramidal spikes on every face.

smallstellateddodecahedron

/gmath spawn smallstellateddodecahedron size=30 spikeLength=14 material=Rock_Marble

greatdodecahedron

/gmath spawn greatdodecahedron size=28 spikeLength=8 material=Rock_Marble

greatstellateddodecahedron

/gmath spawn greatstellateddodecahedron size=28 spikeLength=18 material=Rock_Marble

greaticosahedron

/gmath spawn greaticosahedron size=26 spikeLength=22 material=Rock_Marble

III. Archimedean Solids

Edge-uniform convex polyhedra. All take size = circumsphere diameter.

cuboctahedron

/gmath spawn cuboctahedron size=25 hollow=true material=Rock_Marble

truncatedoctahedron

Space-filling – copies of this tile 3D space with no gaps.

/gmath spawn truncatedoctahedron size=30 hollow=true material=Rock_Marble

icosidodecahedron

/gmath spawn icosidodecahedron size=30 hollow=true material=Rock_Marble

rhombicdodecahedron

/gmath spawn rhombicdodecahedron size=25 hollow=true material=Rock_Marble

III.b Compound Polyhedra

Multiple polyhedra interpenetrating, sharing a common symmetry axis. Spectacular to look at.

compound2cubes

Two cubes, one rotated 60° around the body diagonal.

/gmath spawn compound2cubes size=24 material=Rock_Marble

compound5cubes

Five cubes sharing a dodecahedral vertex set.

/gmath spawn compound5cubes size=26 material=Rock_Marble

compound5tetrahedra

Five tetrahedra in chiral arrangement.

/gmath spawn compound5tetrahedra size=26 material=Rock_Marble

compound10tetrahedra

Two chirally-opposite 5-tetrahedra compounds overlaid.

/gmath spawn compound10tetrahedra size=26 material=Rock_Marble

compound5octahedra

Five octahedra sharing the 30 icosahedral edge-midpoints.

/gmath spawn compound5octahedra size=26 material=Rock_Marble

III.c Faceted / Catalan-Hybrid Polyhedra

tetrakis

Tetrakis hexahedron – cube with a pyramid on every face.

/gmath spawn tetrakis size=20 spikeLength=6 material=Rock_Marble

pentakis

Pentakis dodecahedron – dodecahedron with a pyramid on every pentagonal face. Football-like.

/gmath spawn pentakis size=28 spikeLength=5 material=Rock_Marble

excavateddodecahedron

Dodecahedron with a pyramid-shaped cavity carved INTO every face.

/gmath spawn excavateddodecahedron size=32 depth=7 material=Rock_Marble

IV. Fractals

Self-similar structures. Set level / size carefully – fractals explode in block count fast.

menger

Classic Menger sponge. Edge = 3^level blocks, filled cubes = 20^level.

/gmath spawn menger level=3 material=Rock_Marble

level=3 → 27³ edge / 8 000 blocks. level=4 → 81³ / 160 000. level=5 → 243³ / 3 200 000 (requires maxBlocks raised and uses streamed placement – takes about a minute).

sierpinskitetra

Sierpinski tetrahedron.

/gmath spawn sierpinskitetra size=40 level=3 material=Rock_Basalt

sierpinskicarpet

2D Sierpinski carpet extruded into a slab.

/gmath spawn sierpinskicarpet level=3 depth=5 material=Rock_Marble

romanesco

Fractal cauliflower. Fibonacci spiral of recursive cones.

/gmath spawn romanesco size=30 height=42 level=3 hollow=true material=Plant_Coral_Block_Lime

level=4 for more detail – watch the block count.

apollonian

Apollonian gasket: nested hollow spheres packed inside an outer shell.

/gmath spawn apollonian size=32 seed=1337 material=Rock_Marble

Change seed for a different packing layout.

mandelbulb

Power-8 3D Mandelbrot set. Alien volumetric fractal.

/gmath spawn mandelbulb size=45 material=Rock_Slate

Increase size for more detail (and block count).

mandelbox

Box-folded Mandelbrot. Very alien. scale is the fold factor (2–3 interesting range).

/gmath spawn mandelbox size=40 scale=2.0 material=Rock_Slate

julia3d

Quaternion 3D Julia set. Change the constant (cx, cy, cz, cw) for wildly different shapes.

/gmath spawn julia3d size=40 cx=-0.4 cy=0.6 cz=0.0 cw=0.0 material=Rock_Slate

V. Triply Periodic Minimal Surfaces (TPMS)

Implicit surfaces that tile 3D space infinitely. Beautiful foam / sponge structures.

gyroid

sin(x)cos(y) + sin(y)cos(z) + sin(z)cos(x) = 0

/gmath spawn gyroid size=32 wavelength=16 thickness=0.33 material=Plant_Coral_Block_Cyan

schwarzp

Schwarz Primitive: cos(x)+cos(y)+cos(z)=0

/gmath spawn schwarzp size=32 wavelength=20 thickness=0.4 material=Plant_Coral_Block_SkyBlue

schwarzd

Schwarz Diamond (tetrahedral symmetry).

/gmath spawn schwarzd size=32 wavelength=16 thickness=0.35 material=Plant_Coral_Block_Cyan

neovius

3(cx+cy+cz) + 4(cx·cy·cz) = 0

/gmath spawn neovius size=32 wavelength=18 thickness=0.7 material=Plant_Coral_Block_Pink

lidinoid

Rotated relative of the gyroid. Intricate minimal foam.

/gmath spawn lidinoid size=32 wavelength=18 thickness=0.25 material=Plant_Coral_Block_Purple

VI. Spirals & Knots

nautilus

Logarithmic spiral with exponentially growing tube.

/gmath spawn nautilus size=25 windings=1.75 growth=0.18 material=Rock_Marble

More windings = longer spiral. Higher growth = bigger growth per turn.

doublehelix

DNA-style helix with rungs.

/gmath spawn doublehelix size=10 height=40 turns=5 tube=1.5 rungStep=4 material=Rock_Marble

rungStep=0 → no rungs.

torusknot

(p, q) torus knot: wraps p times around the major axis, q times around the minor.

/gmath spawn torusknot majorRadius=14 minorRadius=5 tube=1.6 p=2 q=3 material=Metal_Copper

Try (p,q) = (3,2), (2,5), (3,5) for different knots.

trefoil

The simplest non-trivial knot.

/gmath spawn trefoil size=25 tube=2.2 material=Metal_Gold

conicalspiral

Snail-shell spiral rising upward.

/gmath spawn conicalspiral size=30 windings=4 growth=0.15 tube=2.0 pitch=6 material=Rock_Marble

solenoid

Tight helical coil / spring.

/gmath spawn solenoid size=14 height=40 turns=12 tube=1.2 material=Metal_Copper

VII. Parametric Exotica

kleinbottle

Non-orientable self-intersecting surface.

/gmath spawn kleinbottle size=30 tube=1.5 material=Plant_Coral_Block_Purple

moebius

Thick Möbius strip: one-sided surface with a single twist.

/gmath spawn moebius size=20 width=6 thick=2 material=Rock_Marble

supershape

Gielis superformula in 3D. Flowers, stars, fruits – from a handful of numbers.

/gmath spawn supershape size=25 m1=7 m2=6 n1=0.2 n2=1.7 n3=1.7 material=Plant_Coral_Block_Orange

Change m1 / m2 for different symmetries. Small n1 → star-like.

superellipsoid

|x/a|^r + |y/b|^r + |z/c|^r ≤ 1. From cube (r→∞) to octahedron (r=1).

/gmath spawn superellipsoid size=28 rx=4 ry=4 rz=4 hollow=true material=Rock_Marble

supertoroid

Torus with a super-ellipsoid cross-section.

/gmath spawn supertoroid majorRadius=18 minorRadius=6 e1=2.0 e2=2.0 material=Rock_Marble

stellaoctangula

Compound of two interpenetrating tetrahedra ("star tetrahedron").

/gmath spawn stellaoctangula size=25 material=Rock_Marble

VIII. Waves

sinwave

2D sine-wave terrain.

/gmath spawn sinwave size=40 amplitude=6 wavelength=16 thickness=2 material=Plant_Coral_Block_SkyBlue

waveinterference

Two-source circular wave interference pattern – water ripples.

/gmath spawn waveinterference size=60 amplitude=5 wavelength=10 spacing=20 thickness=2 material=Plant_Coral_Block_Blue

chladni

3D Chladni figure – nodal surfaces of standing waves in a box.

/gmath spawn chladni size=32 nx=3 ny=3 nz=3 thickness=0.2 material=Plant_Coral_Block_Yellow

Try different (nx, ny, nz) mode triples for wildly different patterns.

IX. Minimal Surfaces

catenoid

Minimal surface of revolution (cosh profile).

/gmath spawn catenoid size=20 height=30 thickness=0.7 material=Plant_Coral_Block_White

helicoid

Infinite spiral ramp. A "ruled" minimal surface.

/gmath spawn helicoid size=20 height=30 turns=2 thickness=1 material=Rock_Marble

enneper

Self-intersecting minimal surface.

/gmath spawn enneper size=6 scale=5 tube=1.2 material=Rock_Marble

scherk

Scherk's first surface. Periodic, plays on exp(z)·cos(y) = cos(x).

/gmath spawn scherk size=30 period=12 thickness=0.6 material=Rock_Marble

X. Organic & Other

heart

3D heart (Taubin equation).

/gmath spawn heart size=20 material=Plant_Coral_Block_Red

egg

Asymmetric tapered ellipsoid.

/gmath spawn egg size=20 height=28 taper=0.6 material=Rock_Marble

Smaller taper → narrower top.

voronoi

3D Voronoi foam – cell walls visible, bone-like.

/gmath spawn voronoi size=30 sites=18 seed=11 wallThickness=0.9 material=Rock_Marble

Change seed for a different random layout.

fibonaccisphere

Points arranged on a sphere via Fibonacci spiral (sunflower seeds, pinecones).

/gmath spawn fibonaccisphere size=30 points=200 seedRadius=1.5 material=Plant_Coral_Block_Yellow

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Good to Know

• All 77 shapes ship inside the ~142 KB JAR. No asset pack, no external data.
• Every spawn is reversible. /gmath undo restores the terrain that was overwritten. Only the latest spawn per player is kept. Streamed spawns also record their snapshot while placing, so undo works on them too.
• Shapes centre on the player. Where you stand becomes approximately (0, 0, 0) of the shape's local frame, with the shape's ground level at your feet.
• Parameter order doesn't matter. /gmath spawn cube material=Rock_Basalt size=10 and /gmath spawn cube size=10 material=Rock_Basalt are identical.
• Unknown parameters are silently ignored. Useful for copy-paste – if a parameter doesn't apply to the shape you use, it's just dropped.
• Hollow works universally. The plugin applies a generic voxel-peel after the shape has been generated (remove every voxel that has 6 face-neighbours), so hollow=true works on every solid shape, even those we didn't specifically design around it.
• Quiet runtime. The plugin does not log on spawn, undo or config changes – no clutter in your server log. Progress messages for streamed spawns are sent only to the spawning player, not the global chat.

Performance

Each spawn runs the math on the server thread, then places blocks via the standard Hytale ChunkStore API. Generation for typical shapes is a few milliseconds to ~100 ms (mandelbulb / large-size shapes).

Block placement has two modes:

• Synchronous (< batchThreshold, default 10 000): placed in one go, same as earlier versions. Linear in block count, uses Hytale's cached chunk accessors.
• Streamed (≥ batchThreshold): placed in batchSize chunks per tick, scheduled on HytaleServer.SCHEDULED_EXECUTOR. A Level-5 Menger sponge (3.2 M blocks) at the default 2 500 blocks per 50 ms takes ~64 seconds to complete while the server stays responsive for other players.

Undo is O(block count) and uses the stored per-block snapshot.

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Made with care by Glymera for the Hytale community