These models were made using MATLAB R2016a to make different projections of an Earth's topographical maps, in order to illustrate how the flatearthers think the Earth is.
The file's names explained: name_1_x_10_y.stl is 1 : x * 10^y. So _1_6_10_7 is 1:600000000 or one in 60 million.

Different projections

Flatearthers, people that assure Earth is flat, do not often care about the size of the Earth, but they still believe global maps have the actual shape of the continents. In their Earth, the north pole is in the center, the continents are around it, and the south pole doesn't exist, the Antarctica is a "wall" around the world. Assuming that the continents have the same size, the distance in the surface between the north and south pole is pi x actual Earth's radius, is equal to the flat Earth disc radius. This left a 40000 km diameter. The "thickness" of this disc is unknown for them, and the topography would be so thin that it wouldn't be noticeable. I've choose a height enough for making its topography visible in the model printed. Here I present three different versions that are different projections of a topographic Earth map:

Azimutal

This is the most common representation of the flat Earth. The latitude is the radius in cylindrical coordinates, with the north pole as 0 radius and the south pole is the max radius (20000 km). In this projection the southern the latitude, the more spaced are the longitudes, so continents in the south are wider and more deformed than the north ones. This is the projection of the UN logo and flag.

Azimutal projection

Stereographic

This is not an usual representation. It is not even an stereographic projection, that projection has infinite radius. In this version the difference in latitude is equal to the difference of longitude. By this way the southern latitudes are wider and higher than norther ones, so continents may not keep the exact shape, but every pixel has proportional wide and height locally.

Stereographic projection

Bipolar

This model is an azimutal projection of the original one tilted 90° so the poles now are in the previous equator, at the previous north pole it is Africa, and the south pole is in the center of the Pacific Ocean. In this version, Antarctica is a continent and not a wall around the world, Africa and Europe are accurate to the real shape, the rest of the continent are equally deformed. However this view does not share with the others the mechanism of how the Sun and the Moon supposedly moves.

Bipolar projection

References

Surf to STL function for MATLAB

Other astronomical objects

Object	Scale [1:x] K = 10³ (thousand) M = 10⁶ (million) G = 10⁹ (billion)	Image
Inner Solar System
Mercury	20M, 60M, 120M
Venus	60M, 120M, 250M
Earth	60M, 120M, 250M
Luna	10M, 20M, 60M
Mars	20M, 60M, 120M
Phobos and Deimos	200K, 500K
Man-made
Salyut 7	40, 48, 80, 160
Near Earth Asteroids
Moshup and Squannit	8K, 20K, 40K
Ra-Shalom	20K, 40K
Castalia	8K, 20K, 40K
Bacchus	8K, 20K
Bennu	3K, 8K
Ryugu	3K, 8K, 20K
Geographos	40K, 80K
Phaethon	40K, 80K
Itokawa	3K, 8K
Eros	80K, 200K, 500K
Nereus	3K, 8K
Didymos and Dimorphos	8K, 20K
Mithra	20K, 40K
Golevka	8K
Toutatis	40K, 80K
Main Asteroid Belt
Gaspra	200K
Annefrank	40K, 80K
Braille	20K, 40K
Vesta	2M, 4M, 10M
Šteins	40K, 80K, 200K
Iris	2M, 4M
Hebe	1M, 2M, 4M
Lutetia	500K, 1M, 2M
Julia	1M, 2M, 4M
Mathilde	500K, 1M
Juno	2M, 4M
Ceres	4M, 10M
Pallas	4M, 10M
Kleopatra	2M, 4M
Ida	500K, 1M
Psyche	2M, 4M
Interamnia	2M, 4M
Hygiea	2M, 4M, 10M
Antiope	1M, 2M
Jovian System
Jupiter	500M, 1G
Amalthea	2M, 4M
Thebe	1M, 2M
Io	20M, 60M
Europa	20M, 60M
Ganymede	60M, 120M
Callisto	60M, 120M
Saturn System
Saturn	500M, 1G
Pan, Daphnis and Atlas	80K, 200K, 500K, 1M
Prometheus and Pandora	1M, 2M
Janus and Epimetheus	2M, 4M
Mimas	2M, 4M, 10M
Methone, Anthe and Pallene	40K, 80K
Enceladus	4M, 10M
Tethys	4M, 10M, 20M
Telesto and Calypso	200K, 500K
Dione	4M, 10M, 20M
Helene	500K, 1M
Rhea	10M, 20M
Titan	60M, 120M
Hyperion	2M, 4M
Iapetus	10M, 20M
Phoebe	1M, 2M, 4M
Uranian System
Uranus	250M, 500M, 1G
Puck	1M, 2M, 4M
Miranda	4M, 10M
Ariel	10M, 20M
Umbriel	10M, 20M
Titania	10M, 20M
Oberon	10M, 20M
Neptunian System
Neptune	250M, 500M, 1G
Larissa	2M, 4M
Proteus	2M, 4M, 10M
Triton	20M
Comets
Tempel 1	40K, 80K, 200K
Wild 2	40K, 80K
Churyumov-Gerasimenko	20K, 40K, 80K
Hartley 2	20K, 40K, 80K
Borrelly	40K, 80K, 200K
Halley	80K, 200K
Centaurs and TNOs
Hidalgo	500K, 1M
Chariklo	2M, 4M
Pluto and Charon	10M, 20M
Styx, Nix, Kerberos and Hydra	500K, 1M
Haumea, Namaka and Hiʻiaka	10M, 20M
Arrokoth	200K, 500K, 1M
Largest TNOs and their moons	10M, 20M
Extrasolar
Exoplanets	120M, 250M, 500M
Nearest white dwarfs	120M, 250M
HD 189733 b	1G
Pulsars	200K, 500K
Cygnus X-1 accretion disk	10M, 20M
M87* photon ring	1.5*10¹⁴
Sky maps
Heliosphere	7.510¹³, 1.510¹⁴
Constellations	-
CMBR	2*10²⁸
Ancient
Earth (540 Mya to 20 Mya)	60M, 120M, 250M
Luna (4 Gya)	20M, 60M
Speculative
Planet Nine	250M, 500M
Cube planet	60M, 120M, 250M
Science Fiction
Ghroth	4M, 10M
Arda	60M, 120M
Life Foundation rocket	160, 200, 350, 500
B612	10, 20, 32, 40
Mesklin	500M, 1G
Arrakis	60M, 120M
Borg cube	8K, 20K, 40K
Pern	60M, 120M
Europa Monolith	200K, 500K
Leonora Christine	500, 600, 1K, 3K
Rama	80K, 200K, 500K
Death Star	500K, 1M, 2M
Starkiller Base	2M, 4M, 10M
Z-95	40, 80, 160, 200
Eternia	60M, 120M
Visitors mothership	20K, 40K
Wheel of Time Earth	60M, 120M, 250M
Nirn, Secunda and Masser	20M, 60M, 120M
ID mothership	2M, 4M, 10M
ID troop transporter	200, 350, 500, 600, 1K
Heptapod spaceship	1K, 3K, 8K
Gaijin flowership	3K
Red Moon	60M, 120M
Halo Array	4M, 10M, 20M, 60M
Gem Homeworld	120M, 250M, 500M
Citadel of Ricks	200K
The Skeld	40, 80, 160, 200, 350, 500
Misc
Mars (1962 reconstruction)	60M, 120M
Flat Earth	250M
Expanding Earth	60M, 120M
Spaceship of Ezekiel	80, 160

Different projections

Azimutal

Stereographic

Bipolar

References

Other astronomical objects

Object

Scale [1:x]

Image

Inner Solar System

Man-made

Centaurs and TNOs

Extrasolar

Sky maps

Ancient

Speculative

Misc

"Topographic map" results