Topper (1998) and Munafo & Tijsseling (1998) each see a problem with the solid spheres Tychonic model shown in Margolis (1998). Neither of the problems actually exists.
Margolis (1998) Figure 5:
2. Munafo & Tijsseling (1998), on the other hand, agree with me that Tycho's illusion is indeed an illusion. But since these heavenly spheres must completely fill the space between the fixed stars and the Earth/moon region, they argue that there would be another sort of solid spheres problem. But the single Tychonic sphere represented by Fig. 5a of my target article does solidly fill the entire required space. The rotating orbits of the five Tychonic planets are then carried within that single Tychonic sphere, exactly analogous to the way the rotating epicycles of the Ptolemaic planets are carried within their individual Ptolemaic spheres. There is indeed no room for, but also no point to, the solid "sphere of Mars" that Manufo & Tijsseling describe. Since there would be no such sphere, it could not cause the problem they envision.
3. According to Topper, "Tycho's system, as he conceived it, did not entail spheres." But that is not what Tycho said: he said that for some time after he discovered the system he was held back from believing it because of the solid spheres problem. Topper has this just backwards. See the very detailed account in Gingerich & Westman (1989).
Gingerich, O. & Westman R. (1989). The Wittich Connection. American Philosophical Society.
Harris, L. (1998), The Mars/sun Collision Illusion: motion is not visualizable in two different reference frames simultaneously PSYCOLOQUY 9(34) ftp://ftp.princeton.edu/pub/harnad/Psycoloquy/1998.volume.9/psyc.98.9.33.cognitive-illusion.2.harris
Margolis, H. (1998) Tycho's Illusion: How It Lasted 400 Years, and What That Implies About Human Cognition. PSYCOLOQUY 9(32) ftp://ftp.princeton.edu/pub/harnad/Psycoloquy/1998.volume.9/psyc.98.9.32.cognitive-illusion.1.margolis
Munafo, M. & Tijsseling, A. (1998) Movement in a Solid Sphere:. PSYCOLOQUY 9(44) Cognitive Illusion (9) ftp://ftp.princeton.edu/pub/harnad/Psycoloquy/1998.volume.9/psyc.98.9.44.cognitive-illusion.9.munafo
Topper, D. (1998) Margolis's Delusion: a Critique of "tycho's Illusion". PSYCOLOQUY 9(42) ftp://ftp.princeton.edu/pub/harnad/Psycoloquy/1998.volume.9/psyc.98.9.42.cognitive-illusion.7.topper