Conical Frustum Radial Development / ECMA Cup Jacket 1:1 DXF · SVG · PDF Default Spec: 82 × 70 × 62 mm (T=1.2mm)

Curved Conical Coffee Cup Sleeve (Java Jacket) Dieline Generator

1:1 CAD ENGINE READY

Curved Conical Coffee Cup Sleeve (Java Jacket) Dieline Generator

1CAD Style & Material SetupPackaging

Select CAD Style / Model (36)Search & Filter

Material Stock Preset (Auto-Sets Caliper T & Kerf K)

Display Units

Scale Lock

1:1 True Scale

2Dimensions (1:1)Millimeters (mm)

Top Cup Diameter (D_top)82 mm

Bottom Cup Diameter (D_bot)70 mm

Vertical Sleeve Height (H)62 mm

Thickness (T mm)

Laser Kerf (K mm)

3Brand Logo & 1:1 ExportZero Login

2D & 3D Brand Logo Mockup:

📤 Upload Logo

Print Artwork Bleed Guide:

Embed Spec Sheet & 50mm / 1" Scale Bars (Added on separate DIMENSIONS layer)

Pre-Flight Geometry Audit8/8 PASSED

PASS
Closed Outer Contours: 1 closed LWPOLYLINE cut loop(s) verified
PASS
Zero Duplicate Cut Paths: 82 unique segments (0 laser double-burns)
PASS
Flute & Kerf Tolerance Guard: T=1.20mm, K=0.000mm within structural limits
PASS
ISO Layer Color Separation: CUT (Red), CREASE (Blue), SCORE (Emerald), DIMENSIONS isolated
PASS
1:1 Physical Unit Header: Explicit mm/in SVG viewBox + DXF $INSUNITS=4 + 50mm PDF bar
PASS
Exact 2D Cut Bounding Parity: Cut Bounds 274.61×81.71mm === Blank Size
PASS
2D ↔ 3D Kinematic Model Sync: Archetype 'cup_sleeve' synced (1 3D component(s))
PASS
True Vector Sheet Nesting Sync: 1:1 vector paths mapped to multi-up sheet grid

100%

CUT (0.64m) CREASE/SCORE (0.06m)● 1 Loops · Est. Cut: ~17s

1:1 Synced · Blank: 274.61 × 81.71 mm

2D 1:1 Unfolded Vector BlueprintBlank: 274.61 × 81.71 mm (10.81" × 3.22")

3D Interactive Fold & Orbit (Kraft Board)

80%

0%100%

Camera:

Yaw: -28°Pitch: 24°

⟳ Drag Anywhere to Rotate 3DL=82 × W=70 × H=62mm

Unfolded Blank

274.6 × 81.7 mm

Outer Arc Radius

425.6 mm

Sector Angle

34.7°

Slant Height

62.3 mm

Structural & Manufacturing Specification Summary

Quick Default Download: ↓ .DXF ↓ .SVG ↓ .PDF

A paper coffee cup is not a cylinder—it is a truncated mathematical cone (frustum). If you wrap a flat rectangular strip around a tapered cup, it gaps at the bottom and slips off. To sit flush against the cup wall, a coffee cup sleeve must be unfolded radially as an annular sector computed from the cup's Top Diameter (D_top), Bottom Diameter (D_bottom), and Vertical Sleeve Height (H). Our parametric generator solves the exact cone apex radii (R_outer and R_inner) and sector angle (theta) to generate a 1:1 curved dieline with an interlocking tab-and-slot closure or glue lap.

CUT LAYER #EF4444 (ACI 1)

CREASE / BEND #2563EB (ACI 5)

SCALE HEADER $INSUNITS=4 (1:1 mm)

SIMULATION 2D + 3D + Nesting

Pre-Calibrated Industry Sizes (1)

Standard Product Presets Built on This Coffee Cup Sleeve Dieline Engine

82 × 70 × 62 mm (T=1.2mm)

12oz/16oz Coffee Cup Sleeve

Fits all universal 90mm rim paper cups (10oz, 12oz, 16oz, 20oz) with 82mm upper grip and 70mm lower grip diameter

Load Preset Spec →

Structural Geometry & Allowances

Mathematical Blank & Tolerance Formulas

Slant Wall Length (S_slant)

S_slant = sqrt( H^2 + ((D_top - D_bottom) / 2)^2 )

Computes the true diagonal slant height along the tapered cup wall.

Unfolded Outer Cone Radius (R_outer)

R_outer = (D_top * S_slant) / (D_top - D_bottom)

Determines the exact radius of the upper curved cut arc from the virtual cone apex.

Unfolded Sector Angle (Theta_radians)

Theta = (pi * D_top) / R_outer

Calculates the exact angular sweep in radians so the sleeve circumference matches the cup taper.

Pre-Press & Production SOP

Step-by-Step Export & Assembly Guide

1 Enter the cup's Top Diameter (in the Length field, e.g., 82mm), Bottom Diameter at the base of the sleeve zone (in the Width field, e.g., 70mm), and Sleeve Height (H, e.g., 62mm).
2 Inspect the radial curved arc generated in the 2D CAD Blueprint.
3 Export the 1:1 .SVG, .DXF, or .PDF file.
4 When placing logos in Adobe Illustrator, use Envelope Distort > Make with Warp (Arc) matching the sleeve curvature angle so your logo appears straight when wrapped around the cup.

Board Caliper, Laser & Die-Cutting Reference

Material Thickness, Creasing Matrix & Laser Kerf Settings

Material / Sheet Stock	Caliper Thickness (T)	Recommended Tooling / Laser Setup	Allowance / Kerf Spec	Primary Use Case
Single-Face Corrugated Kraft (F/E-Flute)	1.2 mm	Rotary or Flatbed Die-Cut + Embossing	Overlap Tab: 18mm + Dual Size Slots	Standard hot coffee cups (8oz, 12oz, 16oz, 20oz) thermal insulation
Heavy Recycled Kraft Paperboard (350gsm)	0.5 mm	Flatbed Die-Cut or Digital Plotter	Interlocking Hook Slot (No Glue Needed)	Custom branded event sleeves, cold brew cups, ice cream tubs

Packaging & CNC Engineering FAQ

Frequently Asked Questions — Coffee Cup Sleeve Dieline

What are the standard diameters for a 12oz and 16oz hot coffee cup sleeve?

Most standard 12oz and 16oz paper hot cups share a 90mm rim diameter. In the middle grip zone where the sleeve sits, the Top Sleeve Diameter is typically 82mm, the Bottom Sleeve Diameter is 70mm, and the vertical sleeve height is 60mm to 64mm.

Why does this generator use Length and Width for Top and Bottom Cup Diameters?

To keep URL parameters unified across all tools (?l=82&w=70&h=62), Length (L) maps to the Upper Grip Diameter (D_top), Width (W) maps to the Lower Grip Diameter (D_bottom), and Height (H) maps to the Vertical Sleeve Band Height.

Does the coffee cup sleeve template require glue or does it have a locking tab?

Our dieline includes both a glue lap zone AND an integrated die-cut interlocking tab-and-slot so you can assemble small custom runs by hand without hot glue.

What happens if D_top and D_bottom are nearly equal?

If the cup wall has less than a 2mm taper, our math engine automatically switches from conical apex projection to a cylindrical wrap band to prevent infinite radius overflow.

Topical Silo Navigation (Packaging Dielines)