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About

Incorrect bulb spacing produces one of two failures: overcrowding causes root competition and fungal disease; excessive gaps leave bare soil and waste planting stock. The difference between a professional-looking display and a patchy disappointment comes down to geometry. This calculator uses the recommended center-to-center distances published by the Royal Horticultural Society and major Dutch growers for 25+ common species. It computes total bulb count N for rectangular, circular, or custom beds using four layout algorithms: uniform grid, hexagonal stagger (which increases density by a factor of 2√3 over square packing), concentric rings, and naturalized drift.

Planting depth d follows the standard rule of 3Γ— bulb height, adjusted per species. The tool accounts for edge margins so bulbs are not placed flush against bed borders. Limitation: spacing recommendations assume well-drained, loamy soil at temperate latitudes. Heavy clay or sandy conditions may require 10 - 20% wider spacing. Pro tip: purchase 5 - 10% extra bulbs to replace non-viable stock.

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Formulas

For a rectangular bed with dimensions L (length) and W (width), and a center-to-center bulb spacing of s, the number of bulbs depends on the planting pattern.

Grid Pattern

Ngrid = floor(L βˆ’ 2ms + 1) Γ— floor(W βˆ’ 2ms + 1)

Staggered (Hexagonal) Pattern

Row spacing: r = s Γ— √32

Odd rows are offset by s2, yielding approximately 15% more bulbs than a grid in the same area.

Circular Bed

For a bed of radius R, concentric rings at radius rk = k Γ— s:

nk = floor(2Ο€ Γ— rks)

Ncircle = 1 + Kβˆ‘k=1 nk

Planting Depth

d = 3 Γ— hbulb

Where m = edge margin (typically s2), s = center-to-center spacing, hbulb = bulb height, and K = floor(R Γ· s).

Reference Data

Bulb SpeciesSpacing cmSpacing inDepth cmDepth inHeight cmBloom SeasonHardiness Zone
Tulip12515630 - 60Mid Spring3 - 8
Daffodil (Narcissus)15615630 - 45Early - Mid Spring3 - 9
Hyacinth12512520 - 30Mid Spring4 - 9
Crocus83838 - 15Late Winter - Early Spring3 - 8
Allium (Large)20815660 - 120Late Spring - Early Summer4 - 10
Allium (Small)10410415 - 30Late Spring4 - 9
Iris (Dutch)10412545 - 60Late Spring5 - 9
Snowdrop (Galanthus)838310 - 15Late Winter3 - 7
Grape Hyacinth (Muscari)838315 - 20Mid Spring4 - 8
Lily (Asiatic)301215660 - 120Early - Mid Summer3 - 8
Lily (Oriental)301218790 - 150Mid - Late Summer4 - 9
Gladiolus15612560 - 150Summer7 - 10
Dahlia451810430 - 150Mid Summer - Frost8 - 11
Ranunculus1565225 - 45Spring - Early Summer8 - 11
Anemone1045215 - 30Spring5 - 9
Freesia835225 - 35Spring - Summer9 - 10
Scilla (Bluebell)10410415 - 30Spring4 - 8
Fritillaria (Crown Imperial)20820860 - 90Mid Spring5 - 8
Fritillaria (Snake’s Head)10410420 - 30Mid Spring3 - 8
Cyclamen (Hardy)1565210 - 15Autumn - Winter5 - 9
Camassia15612545 - 90Late Spring3 - 8
Crocosmia1048360 - 90Mid - Late Summer5 - 9
Eranthis (Winter Aconite)83528 - 10Late Winter4 - 7
Begonia (Tuberous)25105220 - 40Summer - Autumn9 - 11
Canna Lily451810490 - 180Summer - Frost7 - 11

Frequently Asked Questions

Heavy clay soils retain moisture and restrict root expansion. Increase spacing by 15 - 20% beyond standard recommendations to reduce fungal risk. Sandy, fast-draining soils allow tighter spacing since roots can expand freely and moisture does not pool around the bulb.
Staggered (hexagonal) packing reduces row spacing by a factor of √32 β‰ˆ 0.866 compared to the column spacing. This is the densest possible arrangement of equal circles in a plane, proven by Thue in 1910. In practical terms, you gain roughly 15% more bulbs per square meter.
The 3Γ— rule is measured from the base of the bulb to the soil surface. So if a tulip bulb is 5 cm tall, the hole should be 15 cm deep, placing the top of the bulb 10 cm below grade. This provides adequate insulation against frost heave.
Species that naturalize aggressively (daffodils, crocus, muscari) should be planted at 1.5Γ— the standard spacing to allow 3 - 5 years of offset growth before the clump needs dividing. Tulips, which rarely perennialize outside zones 3 - 5, can be planted at minimum spacing since they are often treated as annuals.
A naturalized drift requires a minimum of 25 bulbs of the same species to register visually as a group rather than scattered individuals. The recommended minimum area is roughly 1 mΒ². Below that threshold, a formal grid or staggered pattern produces a cleaner visual result.
Yes. Bulbs planted upside-down must expend energy curving the shoot around the bulb body to reach the surface, delaying emergence by 1 - 3 weeks and reducing first-year flower size. Tulips, hyacinths, and alliums have an obvious pointed tip. Round corms like crocus and anemone are less critical; plant them on their flattest side.